CN108733351A - A kind of random digit generation method based on block chain - Google Patents
A kind of random digit generation method based on block chain Download PDFInfo
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Abstract
The invention discloses a kind of random digit generation methods based on block chain, block chain technology is introduced into the generating process of random number by this method, by the purposive each node for distributing to block chain of the random function of random number, while the maintenance of itself being carried out by node, receive the random seed from other nodes, to generate new random number.Random digit generation method using the present invention, the random number of generation has the characteristics such as independence, uniformity, and it is reasonable by theoretical analysis, verification is again correct by analysis, inapparent difference can be kept in terms of the inspections such as uniformity, parametric test, independence, combination rule with true random number.
Description
Technical field
The invention belongs to block chain technical field more particularly to a kind of random digit generation methods based on block chain.
Background technology
Random digit generation method is paid much attention to by the area researches personnel such as global mathematics, statistics all the time, with
The raising of the universal and operational capability of computer is produced when facing using a large amount of, quick random number using computer simulation
Raw random number, to make acquisition " random number " become normalization.Tradition is drawn lots, and method is simple, but when demand sample is excessive
When, it needs to consume huge human and material resources, it is still that application field is most commonly used to generate random number using mathematical method.
Traditional random-number generating method generally existing long period correlated phenomena, especially linear congruential method and its mutation are produced
Raw random digit should avoid such phenomenon from frequently occurring when in use.Due to being sequence that computer itself generates, when in face of
When large-scale data demand, more significant serial correlation can be shown, i.e., within the scope of maximum probability, current value is small value
When trend, it is follow-up caused by random number also have small value trend, this more significant correlation large scale digital operation with
System is not allowed to when simulating.
For on stricti jurise, using mathematical method generate random number be not real random number because generate with
Machine sequence follows certain function distribution, and necessarily controllable, commonly referred to as this controllable random number is pseudo random number why
In every field still pseudo random number as real random number with being since pseudo random number is the same as possessing true random number one
Sample or close statistical testing figure, and generate and facilitate rapid, suitable project research activities.
Currently, the general process that the random number based on mathematical method/function generates is as follows：
1) it determines random function or meets the mathematical distribution of certain rule, linear congruence function is relatively common one kind
Random function, expression formula are：
Wherein x0For seed point or initial point；M is mould, is here the primary condition of complementation；A is multiplier, determines xnTransformation
Amplitude, c are gain.
2) several initial value/seed points are provided：
The value of random sequence rear end is determined by initial seed point completely, so many researchs all focus on the production of seed point
It is raw with it is selected on, this directly determines produced sequence statistical check whether with it is truly random unanimously.Common selection method, can be with
Directly specified particular value can also determine initial value with reference to step 1), i.e., generate the using the random generator of a suggestion
One value.
3) random number is generated according to recurrence formula：
Recursion is carried out to sequence with reference to (1), formula can be represented simply as：
Wherein p is initial random number, by ynIt is sequentially generated yn+q；If according to total number and modulus, r is usedn=yp/2pIt can
Obtain uniformly random distribution.
4) using the random number of generation as new seed point, with reference to step before, continue to generate new random number, repeat n
The secondary random number sequence to get to a quantity for n.
Verify whether the random number sequence generated has stochastic behaviour, can check statistical nature that it is followed whether with very with
Machine sequence is coincide, and is generally considered from the following aspects：1, random sequence will have overall random statistical property, such as distribution
Mean value, variance etc.；2, new sequence is repeatedly generated, or the sequence of different initial values there should be independence；3, it is produced with batch
Different random numbers in raw sequence should have independence.
Linear/non-linear congruence/multiplication is a kind of more typical randomizer, and the random sequence generated is deposited
In long period correlated phenomena, i.e., when generate sequence it is more when, before and after there are larger related coefficients.Shift LD sequence is because of meter
It calculates speed to be widely used soon, the disadvantage is that never placed in the middle.The size of third random number is never between first and the
Between two, this is not a rational random number sequence.
For current random number output method there are long period correlation, notable sequence correlated phenomena, the present invention proposes one
Kind of the random digit generation method based on block chain goes central characteristics, to fixed, limited seed with use block chain technology
Point carries out block chain link and reveals, and with uncontrollable factor, increases randomness, reduces its long period correlation and sequence phase
It closes.
Invention content
To solve the problems, such as above-mentioned random number long period correlation in the prior art and phenomenon not placed in the middle, the present invention provides
A kind of random digit generation method based on block chain.
To achieve the above object, the specific technical solution of the random digit generation method of the invention based on block chain is as follows：
A kind of random digit generation method based on block chain, includes the following steps：Step 1：Determine random function, it will be with
Machine function is embedded in block chain, including, it is F (X) to take the distribution function of stochastic variable x：
Optimal function is taken to F (X), minimum power is obtained and calculates, turn to：
The density function of M (x) can be further represented as：
To verify the optimal function that m (x) is F (X), it is as a result represented by the combination of multiple functions：
N is limited constant, corresponding function fn(x) it is private function, the generating process of random number is participated in, in each block
Corresponding private function f is added in chain breakpoint during being transmittedn(x), to complete random function being embedded in block chain；
Step 2 generates random number sequence based on the Generating Random Number of block chain；By the general of step 1 Chinese style (3)
Rate density function m (x) calculates distribution function M (x), further obtains random number functions F (x), chooses the seed of chain information containing block
Point, and using n value of random number functions F (x) successively recursion, generate random number sequence；
Step 3, examine and verification generate random number sequence, with determine above-mentioned steps generate random number sequence whether
It can be used as random number.
Further, the generation of random number sequence includes the following steps in step 2：S1 carries out seed using existing random number
Selection, by m block chain node, respectively random number sets random seed as U, number is as privately owned initial data with there are one
M, then each U obey Ui~U ([0,1]), 0 < i < m+1's is uniformly distributed, and is generated to complete random seed；S2, judgement
M (x) functions between different nodes, each node is broadcasted after obtaining the random seed of itself in block chain, by the kind of oneself
Son is broadcasted to be calculated with receiving adaptable function, if it is determined that the private function of present node and institute's band is adapted, then
It directly participates in calculating, the random number for otherwise receiving other nodes carries out operation, to complete the choosing of the seed point of chain information containing block
It takes；S3 generates random number V~F (x), if m (Wi) < F (Wi), then x=Wi, F (x) is exported, as required random number is passed successively
N value is pushed away, random number sequence is generated.
Further, in the S2 of step 2, the create-rule of the random number of other nodes is：
IfThenGenerate a new random number Wi~U ([0,1]).
Further, the random number sequence in step 3 is examined and verification includes parametric test, uniformity testing and independence
Property examine.
Further, uniformity testing uses the K-S methods of inspection or X2The method of inspection.
Further, parametric test includes the following steps：
S1, input random number sequence R={ Li, 0 < i < n }；
S2 calculates the mathematic expectaion of RAnd variance
S3, the value of Counting statistics amount are simultaneously carried out with significance with reference to comparing.
The random digit generation method based on block chain of the present invention has the following advantages：
1) random number generated based on mathematical method, randomness is largely dependent upon initial value, or there are micro-
Sequence caused by wonderful correlation is related, for its initial value characteristic, block chain information is added during random number generates, at the beginning of making it
Beginning seed point becomes uncontrollable randomly distributed point, and block chain information does not generate otherness because of sequence queue size, value size
It is generated completely by block chain node, may be arbitrary value, avoid sequence correlation, it is ensured that randomizer is really random
Property；
2) there is the random number sequence long period correlation generated in traditional random digit generation method, although random function is more next
More complicated and diversification, but still the problem of long period correlation cannot be prevented, make increase of the random number sequence with length, at certain
Either large or small trend is presented in section, the autonomous behavior of this and random number is disagreed, using datalink, in the data of offer
Numerical value before being totally independent of during generating, and any one section can not all change, and ensure that it is still protected in long sequence
Its independence is held, long period correlation is avoided.
3) significant sequence correlation happens occasionally in present random digit generation method, inevitably carries identical
With the information of front end or rear end, present node associated, the block chain for the sequence independence that the present invention carries simultaneously is caused
Information have block chain information decentralization characteristic, can effectively avoid present node and before, posterior nodal point between correlativity,
Prevent the correlated phenomenas such as not placed in the middle, the function of each child node independent process oneself, and seed point is provided, other nodes can not be with
Meaning change, causes present node to be independently of the presence of other nodes, occurs again to ensure that sequence is relevant.
Description of the drawings
Fig. 1 is that the present invention is based on the flow diagrams of the random digit generation method of block chain；
Fig. 2 is risk of fraud analysis process figure of the present invention；
Fig. 3 is the verification method of random number sequence in the present invention.
Specific implementation mode
In order to be best understood from the purpose of the present invention, structure and function, below in conjunction with the accompanying drawings, to the present invention based on block
The random digit generation method of chain does further detailed description.
The present invention provides a kind of random digit generation method based on block chain, basic principle is to utilize block chain information
It is the discrete nodes of decentralization, is introduced into seed point, the random number generated in this way is with adjacent independence, entirety
On independence, it is related to long period to effectively prevent notable sequence correlation.
It is the effective of verification method as shown in Figure 1, showing the random digit generation method based on block chain of the present invention
Property, if function meets certain rule or probability, block chain information is introduced into its random function by we, when selection seed point
When, it will be provided by multiple block chain link points.Random digit generation method based on block chain includes the following steps：
Step 1：It determines random function or distribution, random function is embedded in block chain；
Theoretical foundation through random function and block chain and analysis, sets the distribution function of stochastic variable x as F (X), then vacation
If it is the superior function in some section, as follows：
Optimal function is taken to it, keeps it minimum for power, convenient for calculating, can turn to：
Certainly m (x) the not necessarily optimal functions of f (x) at this time, thus we do following verification, the density letter of M (x)
Number can be further represented as：
Its general result is represented by the combination of multiple functions：
This is the final rule of generating random number, it is assumed that n is a limited constant, then its corresponding function fn(x)
It for its private function, can not arbitrarily change, and participate in the generating process of entire random number, this exactly decentralization with block chain
Mechanism is consistent, and during each block chain breakpoint is transmitted, its corresponding private function f is addedn(x) operation.
The block chain information structure that private function is added changes as shown in Fig. 2, Fig. 2 is the block node knot containing private function
Structure.
Step 2 generates random number sequence based on the Generating Random Number of block chain；
Probability density function m (x) is given by formula (3), can effectively calculate its distribution function M (x), thus into one
Step obtains random number functions F (x), which does not provide determining definition, is a unitized formula, generating random number
Algorithm can be divided into following steps：
1) random seed is generated
First with existing random number carry out seed selection, quantity m, by m block chain node respectively with there are one with
Machine number shares m node and participates in as the privately owned initial data of oneself, can keep it from controllably, randomness can not be changed.
Random seed is set as U, number m, then each U obey Ui~U's ([0,1]), 0 < i < m+1 uniformly divides
Cloth.
2) m (x) functions between the different nodes of judgement
In this stage, each node is broadcasted after obtaining the random seed of itself in block chain, by the seed of oneself
After being broadcasted, receives from others or oneself adaptable function calculates.If it is determined that current point is institute's band
Private function is adapted, then directly participates in calculating, and the random number for otherwise receiving other nodes carries out operation, to complete to contain block
The selection of chain information seed point；The create-rule of wherein other random numbers is：
IfThenGenerate a new random number Wi~U ([0,1]).
3) random number V~F (x) is generated
If m (Wi) < F (Wi), then x=Wi, output F (x), as required random number, n value of recursion, composition are random successively
Number Sequence.
Step 3, random number sequence is examined and verification；
In this step, whether the random number sequence caused by the above process can make as real random number
With needing to carry out many-sided, profound inspection and verification.It can be from parametric test, uniformity testing, independence inspection in the present invention
Test etc. is verified, and verifies the verification with general random number and is consistent substantially in flow.
It includes following checking procedure that random number sequence, which is examined with verification,：
1) parametric test：
Parametric test is to carry out mean value, variance, centre-to-centre spacing and theoretical distribution to the random number sequence generated to compare
Compared with commenting on its whether significant difference, basic step is as follows：
1. inputting random number sequence R={ Li, 0 < i < n }；
2. calculating the mathematic expectaion of RAnd variance
3. the value of Counting statistics amount is simultaneously carried out with significance with reference to drawing a conclusion.
2) uniformity testing：
Verification generate random number sequence whether be evenly distributed on F (x), the difference with theoretic frequency be it is how many, together
Sample indicates have K-S to examine the method for inspection of this standard, X with significance2The methods of examine.
3) independence test：
To the random number sequence of generation carry out the independence test between internal digital be essential checking procedure it
One, there are many kinds of the modes of inspection, as long as whether the correlation between statistics random number is notable.In addition there are combination rule inspections
Deng, further verify its whether have randomness.
Of the invention innovative is introduced into block chain technology in the generating process of random number, and the random function of random number is had
The each node for distributing to block chain of purpose, while carrying out the maintenance of itself by node, receive from other nodes with
Machine, to generate new random number.The random number generated in this case has the characteristics such as independence, uniformity, and passes through
Crossing theoretical analysis, it is reasonable, and verification by analysis is correct again, can with true random number uniformity, parametric test,
Inapparent difference is kept in terms of the inspections such as independence, combination rule.
The present invention is based on the random digit generation methods of block chain, on the one hand by by block data area increase random function with
Random seed ensures that random number keeps it to close on the independence between random number up and down in generating process, avoids its long period
Correlation；On the other hand by block chain decentralization characteristic, being allowed to be stored in random seed therein arbitrarily to change, and ensure
The independence of itself avoids the correlation of the sequences itself such as not placed in the middle notable.
It is appreciated that the present invention is described by some embodiments, and what those skilled in the art knew, it is not taking off
In the case of from the spirit and scope of the present invention, various changes or equivalence replacement can be carried out to these features and embodiment.Separately
Outside, under the teachings of the present invention, can modify to these features and embodiment with adapt to particular situation and material without
The spirit and scope of the present invention can be detached from.Therefore, the present invention is not limited to the particular embodiment disclosed, and is fallen with
Embodiment within the scope of claims hereof belong to the present invention protect in the range of.
Claims (6)
1. a kind of random digit generation method based on block chain, which is characterized in that include the following steps：
Step 1：It determines random function, random function is embedded in block chain,
Including it is F (X) to take the distribution function of stochastic variable x：
Optimal function is taken to F (X), minimum power is obtained and calculates, turn to：
The density function of M (x) can be further represented as：
To verify the optimal function that m (x) is F (X), it is as a result represented by the combination of multiple functions：
N is limited constant, corresponding function fn(x) it is private function, participates in the generating process of random number, it is disconnected in each block chain
Corresponding private function f is added during being transmitted in pointn(x), to complete random function being embedded in block chain；
Step 2 generates random number sequence based on the Generating Random Number of block chain；
By the probability density function m (x) of step 1 Chinese style (3), distribution function M (x) is calculated, random number functions F is further obtained
(x), the seed point of chain information containing block is chosen, and using n value of random number functions F (x) successively recursion, generates random number sequence
Row；
Step 3, is examined and random number sequence that verification generates, to determine whether the random number sequence that above-mentioned steps generate can be with
It is used as random number.
2. the random digit generation method according to claim 1 based on block chain, which is characterized in that random number in step 2
The generation of sequence includes the following steps：
S1 carries out seed selection using existing random number, and by m block chain node, respectively there are one random numbers as privately owned original for band
Beginning data, set random seed as U, number m, then each U obeys Ui~U ([0,1]), 0 < i < m+1's is uniformly distributed,
It is generated to complete random seed；
S2, judges m (x) functions between different nodes, and each node is broadcasted after obtaining the random seed of itself in block chain,
The seed of oneself is broadcasted and is calculated with receiving adaptable function, if it is determined that the private function of present node and institute's band
It is adapted, then directly participates in calculating, the random number for otherwise receiving other nodes carries out operation, to complete the kind of chain information containing block
The selection of son point；
S3 generates random number V~F (x), if m (Wi) < F (Wi), then x=Wi, F (x) is exported, as required random number is passed successively
N value is pushed away, random number sequence is generated.
3. the random digit generation method according to claim 2 based on block chain, which is characterized in that in the S2 of step 2
In, the create-rule of the random number of other nodes is：
IfThenGenerate a new random number Wi~U ([0,1]).
4. the random digit generation method according to claim 1 based on block chain, which is characterized in that random in step 3
Number Sequence is examined and verification includes parametric test, uniformity testing and independence test.
5. the random digit generation method according to claim 4 based on block chain, which is characterized in that uniformity testing uses
The K-S methods of inspection or X2The method of inspection.
6. the random digit generation method according to claim 4 based on block chain, which is characterized in that parametric test includes such as
Lower step：
S1, input random number sequence R={ Li, 0 < i < n }；
S2 calculates the mathematic expectaion of RAnd variance
S3, the value of Counting statistics amount are simultaneously carried out with significance with reference to comparing.
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| CN109714150A (en) * | 2018-12-04 | 2019-05-03 | 杨旗 | The System and method for of ordered series of numbers is generated based on block chain hash value |
| CN109961550A (en) * | 2019-03-29 | 2019-07-02 | 北京金山安全软件有限公司 | Method and device for determining random number in block chain, electronic equipment and storage medium |
| CN110223438A (en) * | 2019-06-13 | 2019-09-10 | 北京艾摩瑞策科技有限公司 | A kind of lottery ticket of application block chain is extra-large method and its equipment at random |
| CN110445603A (en) * | 2019-06-28 | 2019-11-12 | 成都鹰翔天际科技有限公司 | A kind of decentralization random digit generation method |
| CN111444271A (en) * | 2020-03-05 | 2020-07-24 | 链农(深圳)信息科技有限公司 | Information collection and judgment method and system based on block chain |
| CN112562168A (en) * | 2020-11-27 | 2021-03-26 | 中国联合网络通信集团有限公司 | Block chain-based online shaking method, system, equipment and storage medium |
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| CN111444271A (en) * | 2020-03-05 | 2020-07-24 | 链农(深圳)信息科技有限公司 | Information collection and judgment method and system based on block chain |
| CN112562168A (en) * | 2020-11-27 | 2021-03-26 | 中国联合网络通信集团有限公司 | Block chain-based online shaking method, system, equipment and storage medium |
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