JP2010525670A - カオスの数値系列のデジタル生成 - Google Patents
カオスの数値系列のデジタル生成 Download PDFInfo
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- JP2010525670A JP2010525670A JP2010504206A JP2010504206A JP2010525670A JP 2010525670 A JP2010525670 A JP 2010525670A JP 2010504206 A JP2010504206 A JP 2010504206A JP 2010504206 A JP2010504206 A JP 2010504206A JP 2010525670 A JP2010525670 A JP 2010525670A
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- chaotic
- polynomials
- rns
- polynomial
- value
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F7/00—Methods or arrangements for processing data by operating upon the order or content of the data handled
- G06F7/58—Random or pseudo-random number generators
- G06F7/582—Pseudo-random number generators
- G06F7/584—Pseudo-random number generators using finite field arithmetic, e.g. using a linear feedback shift register
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F7/00—Methods or arrangements for processing data by operating upon the order or content of the data handled
- G06F7/60—Methods or arrangements for performing computations using a digital non-denominational number representation, i.e. number representation without radix; Computing devices using combinations of denominational and non-denominational quantity representations, e.g. using difunction pulse trains, STEELE computers, phase computers
- G06F7/72—Methods or arrangements for performing computations using a digital non-denominational number representation, i.e. number representation without radix; Computing devices using combinations of denominational and non-denominational quantity representations, e.g. using difunction pulse trains, STEELE computers, phase computers using residue arithmetic
Abstract
Description
Claims (9)
- カオス系列を発生する方法であって、
複数の多項式を選択するステップと、
前記複数の多項式について複数の解をそれぞれ決定するため、剰余数システム(RNS)の算術演算を使用するステップと、前記複数の解は、反復的に計算され、前記RNSの剰余値として表され、
前記複数のRNSの剰余値に基づいて加重数システムにおいて一連のデジットを決定するステップとを含む、
ことを特徴とする方法。 - 前記決定するステップは、前記複数のRNSの剰余値により定義される前記加重数システムにおいて、ある数を識別するステップを更に含む、
請求項1記載の方法。 - 前記決定するステップは、前記複数のRNSの剰余値により定義される前記加重数システムにおいて、ある数の切り捨てられた部分を識別するステップを更に含む、
請求項1記載の方法。 - 前記複数の多項式のそれぞれを解くため、使用されるRNSにおいてN個のモジュライのそれぞれについて値を選択するステップを更に含む、
請求項1記載の方法。 - 前記複数の多項式のそれぞれが簡略化できないように、前記複数の多項式のそれぞれについて、それぞれのモジュロを選択するステップを更に含む、
請求項4記載の方法。 - 前記複数の多項式についてフィードバックメカニズムを介して反復的に計算される解がカオス的であるように、前記複数の多項式のそれぞれについて、それぞれのモジュロを選択するステップを更に含む、
請求項4記載の方法。 - 定数値を除いて同一となるように前記複数の多項式のそれぞれを選択するステップを更に含む、
請求項1記載の方法。 - フィードバックメカニズムを使用して前記複数の解を反復的に計算するステップを更に含む、
請求項1記載の方法。 - 前記フィードバックメカニズムを選択して、反復的に計算されるそれぞれの解について多項式の変数の値を選択的に定義するステップを更に含み、前記値は、前記多項式の前に反復的に計算された解に基づく、
請求項8記載の方法。
Applications Claiming Priority (3)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
US11/737,459 | 2007-04-19 | ||
US11/737,459 US7937427B2 (en) | 2007-04-19 | 2007-04-19 | Digital generation of a chaotic numerical sequence |
PCT/US2008/060431 WO2008130973A1 (en) | 2007-04-19 | 2008-04-16 | Digital generation of a chaotic numerical sequence |
Publications (2)
Publication Number | Publication Date |
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JP2010525670A true JP2010525670A (ja) | 2010-07-22 |
JP5038488B2 JP5038488B2 (ja) | 2012-10-03 |
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Application Number | Title | Priority Date | Filing Date |
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JP2010504206A Expired - Fee Related JP5038488B2 (ja) | 2007-04-19 | 2008-04-16 | カオスの数値系列のデジタル生成 |
Country Status (5)
Country | Link |
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US (1) | US7937427B2 (ja) |
EP (1) | EP2147367B1 (ja) |
JP (1) | JP5038488B2 (ja) |
CA (1) | CA2684269C (ja) |
WO (1) | WO2008130973A1 (ja) |
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CA2684269C (en) | 2013-02-05 |
WO2008130973A1 (en) | 2008-10-30 |
EP2147367B1 (en) | 2015-06-24 |
JP5038488B2 (ja) | 2012-10-03 |
US7937427B2 (en) | 2011-05-03 |
EP2147367A1 (en) | 2010-01-27 |
CA2684269A1 (en) | 2008-10-30 |
US20080263119A1 (en) | 2008-10-23 |
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