CN1567465A - Error correction apparatus and method for block code - Google Patents

Abstract

This invention provides a kind of block code error revision apparatus and method. The block code includes plural resource items that arranged by row and line. The apparatus consists of: a block code input apparatus that used for input a block code, a address erasing list, a error list, and a decoder. The address-erasing list includes plural erasing items that arranged by row and line, which correspond to the plural resource items in the block code. The error list includes plural error items that arranged by row and line, which correspond to the plural resource items in the block code. The decoder decodes this block code by the direction of line and gets the error in each line based on the address erasing list, so to updates the error list, and updates the address erasing list by the direction of line based on the first judgment rule. Then the decoder decodes this block code by the direction of row and gets the error in each row based on the address erasing list, so to updates the error list, and updates the address erasing list by the direction of row based on the second judgment rule.

Description

Block sign indicating number error correcting device and method

Technical field

The invention relates to the technical field of decoding, refer to a kind of block sign indicating number error correcting device and method especially.

Background technology

The data of digital optical disk system (data) very easily suffers external factor (for instance in the process that Storage Media shifts and stores; The scratch of video disc, or dirty finger impression), write and the error of fetch equipment and cause the damage of data.Various coding techniquess are developed to reduce the wrong probability of data.Error correcting code (Error Correction Code, ECC) be generally to be used for the common name of error correcting coding, it is to add the extra information of redundant (redundancy) and write Storage Media after becoming character code (codeword) again in original data, when the data character code that will be stored in medium was read, most important purpose was that character code is changed back original data.Because many redundant information in the character code, fetch equipment can more be understood for raw data, and the decoding program that then carries out particular step can obtain the better data of fiduciary level.Certainly many more redundancies can provide fetch equipment more information, and the usefulness of more being decoded, yet this has but sacrificed the transfer rate of data.

The target of error correcting code development is except the correctness of guaranteeing data, and the decoding device of low complex degree also is the important topic that system realizes.Generally speaking, block code decoding is easier to, so often be used to dish-like storage device.Wherein Li De-solomon code (Reed-Solomon code) has excellent error correction capability in numerous error correcting codes, and the implicit Algebraic Structure of its character code is implemented in decoding device easily.Because the entity density that digital optical disk stores data is higher, the data number that is influenced is also more if Storage Media sustains damage, so must possess more powerful error correction capability in the digital optical disk system, for the good error recovery usefulness and the decoding device of low complex degree are arranged, therefore, general digital optical disk system all adopt Li De-Suo Luomen product code (Reed-Solomon productcode, RSPC).

Fig. 1 is the coding staff block format that digital optical disk specification (DVD specification) is published, wherein, one section data page frame (data frame) is the matrix of high 12 bit groups, long 172 bit groups, one error correcting code square (ECC block) then is to support the row page frame by splicing 16 sections, and adds the redundant matrix that forms high 208 bits, long 182 bits.

The coded system of Li De-Suo Luomen product code is at first undertaken by the line direction of matrix, and each tuple in each row is considered as 2 ⁸The Galois body (Galois Field, the GF) element in, and full line can be considered as the polynomial expression in the Galois body, with D _ColRepresent that (x) its redundant producing method is then deferred to following equation;

R _col(x)＝{D _col(x)·x ¹⁶}mod{G _col(x)}；

Wherein, $G_{\mathrm{col}}\left(x\right)=\underset{k=0}{\overset{15}{\mathrm{\Π}}}(x+{\mathrm{\α}}^k),$ α then is by family P (x)=x ⁸+ x ⁴+ x ²+ x ²The matter unit of+1 Galois body of being derived (primitive element).

Clearly, R _Col(x) be 15 rank polynomial expressions, the data that its coefficient is considered as 16 bit groups get final product the redundancy of this row, the redundancy of this row is called same bit (parity) again, so each row is carried out above-mentioned program after, can draw redundancy of each row, it is got the bid and to be shown PO at Fig. 1 square of should encoding.

After treating that all row produce with bit, next then can determine the redundant P of each row _Row(x), each tuple in each row is considered as 2 ⁸Element in the Galois body, and permutation can be considered as the polynomial expression in the Galois body, with R _RowRepresent that (x) its redundant producing method is then deferred to following equation;

R _row(x)＝{D _row(x)·x ¹⁰}mod{G _row(x)}；

And $G_{\mathrm{row}}\left(x\right)=\underset{k=0}{\overset{9}{\mathrm{\Π}}}(x+{\mathrm{\α}}^k);$

Identical, R _Row(x) be 9 rank polynomial expressions, the data that its coefficient is considered as 10 bit groups get final product the redundancy of these row, the redundancy of these row is called same bit (parity) again, so each row is carried out above-mentioned program after, can draw the redundancy of each row, it is got the bid and to be shown PI at Fig. 1 square of should encoding.

The order of decoding then is and the reversed in order of encoding, utilize the row in each row to carry out the decoding of each row with bit earlier, use row to carry out the decoding of each row with bit afterwards, row encoding and decoding square near communication medium, is called ISN, same bit (inner parity in it is called with bit, PI), otherwise, sign indicating number outside the row encoding and decoding are called, with bit be outer same bit (outer parity, PO).

Erasing address provides decoding device more information, to strengthen the ability of decoding, with regard to the digital optical disk system, the character code after coding is finished is converted to two bit groups (Eight to Sixteen Modulation through changing device with each tuple, ESM), be written into Storage Media again.When desiring thereafter to read the bit group of this Storage Media, corresponding demodulating equipment (demodulator) must be arranged, if the bit group can't be by suitable demodulation, represent that this bit group may be loaded with wrong data, the address of this bit group can be set at and erase address, so demoder knows that this bit group is a mistake, the amount of error that only needs to calculate this address can be finished error recovery, with regard in theory, know under the situation of erasing address that the error correction ability of decoding device is not know to erase the twice of address situation.

Mentioned as the front, the Li De that the digital optical disk system is adopted-Suo Luomen product code is that the row of two-dimensional matrix and row are produced same bit respectively, in the decode procedure, one iteration technique often is used with effective raising error correction ability, Fig. 2 is the process flow diagram of a known iteration technique decoding, at first be listed as decoding, for the row that can decode smoothly, be listed as all address of erasing with eliminating this, for the row that can't decode, then keep erase address can be in the hope of the mistake of this address by ensuing row decoding corrigendum, secondly, go decoding, for the row that can decode smoothly, with eliminate this row all erase address, for the row that can't decode, address is erased in the continuation reservation can be by ensuing row decoding corrigendum in the hope of this mistake of erasing address, and so repetitive cycling is promptly decoded successfully up to the parity checking inerrancy.Declaration decoding failure (decodingfailure) in the time of can't righting the wrong fully when repeatedly iterating circulation, yet the method for this kind iteration decoding is directly proportional with the decoding iterative times of repetition to the memory body access times, also be directly proportional with power consumption, that is iterative times is many more, power consumption is many more, therefore, the iteration decoding method of known error correcting code square still has many shortcomings and gives improved necessity.

Summary of the invention

The objective of the invention is is providing a kind block sign indicating number error recovery and device, can differentiate decode successfully or decode failure because of need by more cycle index to avoid known technology, and reduced the access times of memory body, simultaneously, reduce the loss of demoder and interlock circuit energy.

For achieving the above object, the invention provides a kind of block sign indicating number error correcting method, this block sign indicating number comprises the data item that complex is arranged with ranks, this block sign indicating number removes an address table and an error list to one brush should be arranged, this address table of erasing comprises the project of erasing that complex is arranged with ranks, this error list comprises the wrong project that complex is arranged with ranks, and this method comprises the following step:

(A) input one block sign indicating number and initialization are corresponding to the address table of erasing of this block sign indicating number;

(B) come this block sign indicating number is carried out the column direction decoding according to this address table of erasing, to obtain the mistake of each row data, so that upgrade error list corresponding to this block sign indicating number;

(C) earlier this address table of erasing being carried out column direction according to one first judgment criterion upgrades;

(D) according to this address table of erasing this block sign indicating number is carried out the line direction decoding, to obtain the mistake of each row data, so that to upgrade this error list;

(E) earlier this address table of erasing being carried out line direction according to one second judgment criterion upgrades.

Described block sign indicating number error correcting method, wherein, step (B) to (E) is to repeat until there not being the wrong number of times that produces or repeat to surpass a preset value.

Described block sign indicating number error correcting method, wherein, in step (C), this first judgment criterion is; Work as g _i(e is f) greater than T _RThe time, the project of erasing of the i of this address table of erasing row all is made as very, in the middle of, T _RBe one first better performance parameter,

$g_i(e,f)=2e(i,:)+f(i,:)=2\underset{j=1}{\overset{n}{\mathrm{\Σ}}}\mathrm{\χ}\left(e(i,j)\right)+\underset{j=1}{\overset{n}{\mathrm{\Σ}}}f(i,j)$

N is the line number of this block sign indicating number, this e (i, j) be the wrong project of the capable j of i row in this error list via the resulting value of decoding, f (i, the j) value noted down of the project of erasing that is listed as for the capable j of i in this address table of erasing,

Described block sign indicating number error correcting method, wherein, this first better performance parameter T _RValue to repeat number of times in step (B) to (E) be to be respectively 6,9,10,10,10 at 1,2,3,4,5 o'clock.

Described block sign indicating number error correcting method, wherein, second judgment criterion is: work as h _j(e is f) greater than T _cThe time, the capable project of erasing of j of this address table of erasing all is made as very, in the middle of, T _cBe one second better performance parameter,

$h_j(e,f)=2e(:,f)+f(:,j)=2\underset{i=1}{\overset{k}{\mathrm{\Σ}}}\mathrm{\χ}\left(e(i,j)\right)+\underset{i=1}{\overset{k}{\mathrm{\Σ}}}f(i,j),$

K is the columns of this block sign indicating number, e (i, j) be the wrong project of the capable j of i row in this error list via the resulting value of decoding, f (i, the j) value noted down of the project of erasing that is listed as for the capable j of i in this address table of erasing,

Described block sign indicating number error correcting method, wherein, this second better performance parameter T _CValue to repeat number of times in step (B) to (E) be to be respectively 12,15,16,16,16 at 1,2,3,4,5 o'clock.

For achieving the above object, the present invention also provides a kind of block sign indicating number error correcting device, and this block sign indicating number comprises the data item that complex is arranged with ranks, and this device comprises:

One block sign indicating number input media is in order to import a block sign indicating number;

The one address table of erasing comprises the project of erasing that complex is arranged with ranks, and it corresponds respectively to the complex data item of this block sign indicating number;

One error list comprises the wrong project that complex is arranged with ranks, and it corresponds respectively to the complex data item of this block sign indicating number;

One demoder, it is erased the address table and this block sign indicating number is carried out the column direction decoding to obtain the mistake of each row data according to this, so that upgrade this error list, and according to one first judgment criterion this address table of erasing is carried out column direction and upgrades; It also carries out line direction according to this address table of erasing to this block sign indicating number and decodes to obtain the mistake of each row data, so that upgrade this error list, and earlier this address table of erasing is carried out line direction according to one second judgment criterion and upgrades.

Described block sign indicating number error correcting device, wherein, this demoder is that this block sign indicating number is carried out plural number time decoding, until not having wrong generation or decoding number of times to surpass a preset value.

Described block sign indicating number error correcting device, wherein first judgment criterion is; Work as g _i(e is f) greater than T _RThe time, the project of erasing of the i of this address table of erasing row all is made as very, in the middle of, T _RBe one first better performance parameter,

$g_i(e,f)=2e(i,:)+f(i,:)=2\underset{j=1}{\overset{n}{\mathrm{\Σ}}}\mathrm{\χ}\left(e(i,j)\right)+\underset{j=1}{\overset{n}{\mathrm{\Σ}}}f(i,j)$

N is the line number of this block sign indicating number, this e (i, j) be the wrong project of the capable j of i row in this error list via the resulting value of decoding, f (i, the j) value noted down of the project of erasing that is listed as for the capable j of i in this address table of erasing,

Described block sign indicating number error correcting device, wherein this first better performance parameter T _RValue be to be respectively 6,9,10,10,10 at 1,2,3,4,5 o'clock at the decoding number of times.

Described block sign indicating number error correcting device, wherein, second judgment criterion is: work as h _j(e is f) greater than T _cThe time, the capable project of erasing of j of this address table of erasing all is made as very, in the middle of, T _CIt is one second better performance parameter

$h_j(e,f)=2e(:,j)+f(:,j)=2\underset{i=1}{\overset{k}{\mathrm{\Σ}}}\mathrm{\χ}\left(e(i,j)\right)+\underset{i=1}{\overset{k}{\mathrm{\Σ}}}f(i,j)$

K is the columns of this block sign indicating number, e (i, j) be the wrong project of the capable j of i row in this error list via the resulting value of decoding, f (i, the j) value noted down of the project of erasing that is listed as for the capable j of i in this address table of erasing,

Described block sign indicating number error correcting device, wherein, this second better performance parameter T _CValue be to be respectively 12,15,16,16,16 at 1,2,3,4,5 o'clock at the decoding number of times.

Description of drawings

Fig. 1 is the synoptic diagram of the coding staff block format published of digital optical disk specification (DVD specification);

Fig. 2 is the process flow diagram of known iteration technique decoding;

Fig. 3 is the calcspar of block sign indicating number error correcting device of the present invention;

Fig. 4 is the process flow diagram of block sign indicating number error correcting method of the present invention.

Embodiment

Fig. 3 is the calcspar of a kind of block sign indicating number of the present invention error correcting device, and it comprises: a block sign indicating number input media 310, erase address table 320, an error list 330 and a demoder 340.Wherein, this block sign indicating number input media 310 is in order to importing a block sign indicating number 311, and a block sign indicating number 311 comprise the data item d that complex arranges with ranks (i, j); This address table 320 of erasing includes the project of the erasing f (i that complex is arranged with ranks, j), it corresponds respectively to the complex data item d (i of this block sign indicating number, j), this error list 330 comprise the wrong project e that complex arranges with ranks (i, j), it also corresponds respectively to the complex data item d (i of this block sign indicating number, j), this demoder 340 is erased address table 320 and this block sign indicating number is carried out the column direction decoding to obtain the mistake of each row data, so that upgrade this error list 330 according to this.

The definition that this error list 330 and this are erased address table 320 is as (1), (2) formula:

$e(i,j):{\mathrm{<figure-callout\; id="208"\; label="Z"\; filenames="A0314514200171.png,A0314514200181.png"\; state="\{\{state\}\}">Z</figure-callout>}}_{208}^{+}\&times;{\mathrm{<figure-callout\; id="182"\; label="Z"\; filenames="A0314514200171.png,A0314514200181.png"\; state="\{\{state\}\}">Z</figure-callout>}}_{182}^{+}\&RightArrow;\mathrm{GF}\left(2^8\right)----\left(1\right)$

$f(i,j):{\mathrm{<figure-callout\; id="208"\; label="Z"\; filenames="A0314514200171.png,A0314514200181.png"\; state="\{\{state\}\}">Z</figure-callout>}}_{208}^{+}\&times;{\mathrm{<figure-callout\; id="182"\; label="Z"\; filenames="A0314514200171.png,A0314514200181.png"\; state="\{\{state\}\}">Z</figure-callout>}}_{182}^{+}\&RightArrow;\left\{\mathrm{0,1}\right\}\&Element;Z----\left(2\right)$

Wherein, e is via the resulting improper value of this demoder 340 decodings, is the element in the 28 Galois bodies, and f is then in order to the record value of erasing, and the value of erasing is 1 to represent this address for erasing address, otherwise, if 0 this address is not for erasing address.

340 pairs of this block sign indicating number rank of advanced units direction decodings of this demoder, for the row that can decode smoothly in this block sign indicating number, eliminate in this address table 320 of erasing and the corresponding all address of erasing of these row, for the row that can't decode in this block sign indicating number, then cooperate the decision of first judgment criterion whether to keep its corresponding address of erasing with error list 330, to determine this demoder 340 to carry out line direction when decoding, whether can utilize this information of erasing address and providing to decode, next, the address table 320 of erasing after this demoder 340 utilizes and upgrades carries out the line direction decoding, the row that can decode smoothly, eliminate in this address table 320 of erasing and the corresponding all address of erasing of this row, for the row that can't decode in this block sign indicating number, cooperate the decision of second judgment criterion whether to keep its corresponding address of erasing with error list 330, to determine whether next round-robin column direction decoding can use this information of erasing address, so to increase the decoding usefulness of this demoder 340.

First judgment criterion of the present invention and second judgment criterion except according to carry out the decoding of line direction decoding or column direction different, and it is different according to iterative times (ITE parameter), (3) formula is erased first judgment criterion that address upgrades by uses of column direction decoding institute, and (4) formula then is second judgment criterion of erasing the address renewal of decoding in line direction:

f(i，j)＝u(g _i(e，f)-T _R)???????????????(3)

f(i，j)＝u(h _j(e，j)-T _c)???????????????(4)

Wherein, i is a columns, and j is a line number, g _i, h _jChange along with the change of iterative times, and

g _i(e，f)＝2e(i，:)+f(i，:)’

h _j(e，f)＝2e(:，j)+f(:，j)’ $e(i,:)=\underset{j=1}{\overset{182}{\mathrm{\&Sigma;}}}x\left(e(i,j)\right),$ $f(i,:)=\underset{j=1}{\overset{182}{\mathrm{\&Sigma;}}}f(i,j),$

$e(:,j)=\underset{i=1}{\overset{208}{\mathrm{\&Sigma;}}}x\left(e(i,j)\right),$ $f(:,j)=\underset{i=1}{\overset{208}{\mathrm{\&Sigma;}}}f(i,j),$

Parameter T _R, T _cAlso be the iterative times function, different T _R, T _cValue can cause the decoding of same decoder, usefulness that evident difference is arranged, and the meaning of (3) formula is for working as g _i(e is f) greater than T _RThe time, will all being kept with the corresponding all address of erasing of these row in this address table 320 of erasing, the meaning of (4) formula is for working as to go into h _j(e is f) greater than T _cThe time, will all be kept the T of one group of best efficiency can obtain decoding the time in this address table 320 of erasing with the corresponding all address of erasing of this row _R, T _cReference value is listed in table one:

	ITE＝1	???2	???3	???4	???5
						T R	???6	???9	??10	??10	??10
T c	??12	??15	??16	??16	??16

Fig. 4 is the process flow diagram of block sign indicating number error correcting method of the present invention, at first, input one block sign indicating number 311 in step S410, and in step S411 initialization corresponding to this block sign indicating number 311 erase address table 320 and in step S412 this iterative times of initialization (ITE parameter), in step S413, this block sign indicating number is carried out the column direction decoding according to this address table 320 of erasing, to obtain the mistake of each row data, so that upgrade error list 330 among the step S414 corresponding to this block sign indicating number.

In step S415～step S421, according to this first judgment criterion f (i, j)=u (g _i(e, f)-T _R) this address table 320 of erasing is carried out the column direction renewal, that is, as the g of i row _i(e is f) greater than T _RThe time, with (i j) all is made as and erases address with the corresponding all project of the erasing f of these row in this address table 320 of erasing.

In step S422, carry out the line direction decoding, to obtain the mistake of each row data, so that upgrade this error list 330 among the step S423 according to this address table 320 pair this block sign indicating number 311 of erasing.In step S424～step S430, according to this second judgment criterion f (i, j)=u (h _j(e, f)-T _c) this address table 320 of erasing is carried out the line direction renewal, that is, as the h of j row _j(e is f) greater than T _cThe time, with (i j) all is made as and erases address with the corresponding all project of the erasing f of this row in this address table 320 of erasing.

In step S431, whether still wrongly judge in this decoded block sign indicating number 311, if judge inerrancy in this decoded block sign indicating number 311, then produce the message (among the step S432) of a success, if judge in this decoded block sign indicating number still wrong, then to step S433, judge whether this ITE parameter surpasses a particular value, if, then produce the message (step S435) of a failure, if step S433 judges when this ITE parameter does not surpass a particular value, then this worker TE parameter is added 1 (step S434) and resumes step S413.

As shown in the above description, owing to address table 320 replacement criteria of erasing used in the present invention along with the decoded result of demoder and the increase of iterative times change, compared to the demoder that uses traditional iteration decoding, can obtain better decoding usefulness with decoding number of times still less, simultaneously, can differentiate the failure of decoding successfully or decode, reduce the access times of memory body by less cycle index, that is, reduce the loss of demoder and interlock circuit energy.

Above-mentioned many embodiment give an example for convenience of explanation, and the interest field that the present invention advocated should be as the criterion so that claim is described certainly, but not only limits to the foregoing description.

Claims (12)

1, a kind of block sign indicating number error correcting method, it is characterized in that, this block sign indicating number comprises the data item that complex is arranged with ranks, this block sign indicating number removes an address table and an error list to one brush should be arranged, this address table of erasing comprises the project of erasing that complex is arranged with ranks, this error list comprises the wrong project that complex is arranged with ranks, and this method comprises the following step:

(A) input one block sign indicating number and initialization are corresponding to the address table of erasing of this block sign indicating number;

(B) come this block sign indicating number is carried out the column direction decoding according to this address table of erasing, to obtain the mistake of each row data, so that upgrade error list corresponding to this block sign indicating number;

(C) earlier this address table of erasing being carried out column direction according to one first judgment criterion upgrades;

(D) according to this address table of erasing this block sign indicating number is carried out the line direction decoding, to obtain the mistake of each row data, so that to upgrade this error list;

(E) earlier this address table of erasing being carried out line direction according to one second judgment criterion upgrades.

2, block sign indicating number error correcting method according to claim 1 is characterized in that, wherein, step (B) to (E) is to repeat until there not being the wrong number of times that produces or repeat to surpass a preset value.

3, block sign indicating number error correcting method according to claim 2 is characterized in that, wherein, in step (C), this first judgment criterion is; Work as g _i(e is f) greater than T _RThe time, the project of erasing of the i of this address table of erasing row all is made as very, in the middle of, T _RBe one first better performance parameter,

$g_i(e,f)=2e(i,:)+f(i,:)=2\underset{j=1}{\overset{n}{\mathrm{\&Sigma;}}}\mathrm{\&chi;}\left(e(i,j)\right)+\underset{j=1}{\overset{n}{\mathrm{\&Sigma;}}}f(i,j)$

N is the line number of this block sign indicating number, this e (i, j) be the wrong project of the capable j of i row in this error list via the resulting value of decoding, f (i, the j) value noted down of the project of erasing that is listed as for the capable j of i in this address table of erasing,

4, block sign indicating number error correcting method according to claim 3 is characterized in that, wherein, and this first better performance parameter T _RValue to repeat number of times in step (B) to (E) be to be respectively 6,9,10,10,10 at 1,2,3,4,5 o'clock.

5, block sign indicating number error correcting method according to claim 2 is characterized in that, wherein, second judgment criterion is: work as h _j(e is f) greater than T _CThe time, the capable project of erasing of j of this address table of erasing all is made as very, in the middle of, T _CBe one second better performance parameter,

$h_j(e,f)=2e(:,j)+f(:,j)=2\underset{i=1}{\overset{k}{\mathrm{\&Sigma;}}}\mathrm{\&chi;}\left(e(i,j)\right)+\underset{i=1}{\overset{k}{\mathrm{\&Sigma;}}}f(i,j)$

K is the columns of this block sign indicating number, e (i, j) be the wrong project of the capable j of i row in this error list via the resulting value of decoding, f (i, the j) value noted down of the project of erasing that is listed as for the capable j of i in this address table of erasing,

6, block sign indicating number error correcting method according to claim 5 is characterized in that, wherein, and this second better performance parameter T _CValue to repeat number of times in step (B) to (E) be to be respectively 12,15,16,16,16 at 1,2,3,4,5 o'clock.

7, a kind of block sign indicating number error correcting device is characterized in that, this block sign indicating number comprises the data item that complex is arranged with ranks, and this device comprises:

One block sign indicating number input media is in order to import a block sign indicating number;

The one address table of erasing comprises the project of erasing that complex is arranged with ranks, and it corresponds respectively to the complex data item of this block sign indicating number;

One error list comprises the wrong project that complex is arranged with ranks, and it corresponds respectively to the complex data item of this block sign indicating number;

One demoder, it is erased the address table and this block sign indicating number is carried out the column direction decoding to obtain the mistake of each row data according to this, so that upgrade this error list, and according to one first judgment criterion this address table of erasing is carried out column direction and upgrades; It also carries out line direction according to this address table of erasing to this block sign indicating number and decodes to obtain the mistake of each row data, so that upgrade this error list, and earlier this address table of erasing is carried out line direction according to one second judgment criterion and upgrades.

8, block sign indicating number error correcting device according to claim 7 is characterized in that, wherein, this demoder is that this block sign indicating number is carried out plural number time decoding, until not having wrong generation or decoding number of times to surpass a preset value.

9, block sign indicating number error correcting device according to claim 8 is characterized in that wherein first judgment criterion is; Work as g _i(e is f) greater than T _RThe time, the project of erasing of the i of this address table of erasing row all is made as very, in the middle of, T _RBe one first better performance parameter,

$g_i(e,f)=2e(i,:)+f(i,:)=2\underset{j=1}{\overset{n}{\mathrm{\&Sigma;}}}\mathrm{\&chi;}\left(e(i,j)\right)+\underset{j=1}{\overset{n}{\mathrm{\&Sigma;}}}f(i,j)$

N is the line number of this block sign indicating number, this e (i, j) be the wrong project of the capable j of i row in this error list via the resulting value of decoding, f (i, the j) value noted down of the project of erasing that is listed as for the capable j of i in this address table of erasing,

10, block sign indicating number error correcting device according to claim 9 is characterized in that, wherein this first better performance parameter T _RValue be to be respectively 6,9,10,10,10 at 1,2,3,4,5 o'clock at the decoding number of times.

11, block sign indicating number error correcting device according to claim 9 is characterized in that, wherein, second judgment criterion is: work as h _j(e is f) greater than T _CThe time, the capable project of erasing of j of this address table of erasing all is made as very, in the middle of, T _CBe one second better performance parameter,

$h_j(e,f)=2e(:,j)+f(:,j)=2\underset{i=1}{\overset{k}{\mathrm{\&Sigma;}}}\mathrm{\&chi;}\left(e(i,j)\right)+\underset{i=1}{\overset{k}{\mathrm{\&Sigma;}}}f(i,j)$

K is the columns of this block sign indicating number, e (i, j) be the wrong project of the capable j of i row in this error list via the resulting value of decoding, f (i, the j) value noted down of the project of erasing that is listed as for the capable j of i in this address table of erasing,

12, block sign indicating number error correcting device according to claim 11 is characterized in that, wherein, and this second better performance parameter T _CValue be to be respectively 12,15,16,16,16 at 1,2,3,4,5 o'clock at the decoding number of times.

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