Presentation 2008-02-29
Construction of Randomness Testing Based on T-Codes
Kenji HAMANO, Hirosuke YAMAMOTO,
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Abstract(in English) We propose a new randomness test based on T-Codes. T-Codes are variable-length self-synchronization codes introduced by Mark Titchener in 1984. A given sequence is related to a T-Code set by T-decomposition, and it is decomposed into sub-sequences called T-prefixes which are a series of parameters obtained by a recursive construction algorithm of the T-Code set. In our test, the number of the sub-sequences called T-complexity is used. Furthermore, we propose a new T-decomposition, which can determine the T-prefixes from the beginning to the end of a sequence, and an efficient algorithm of the new T-decomposition by using a tree structure. Reducing the computation time of the T-decomposition, this algorithm makes our new test suitable for practical use in the sense of computational complexity. The validity of our test is also verified by the empirical distribution of T-complexity and P-value.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) randomness test / T-Code / T-decomposition / NIST SP800-22 / Lempel-Ziv compression test / complexity
Paper # IT2007-55,ISEC2007-152,WBS2007-86
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Conference Information
Committee WBS
Conference Date 2008/2/22(1days)
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Registration To Wideband System(WBS)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Construction of Randomness Testing Based on T-Codes
Sub Title (in English)
Keyword(1) randomness test
Keyword(2) T-Code
Keyword(3) T-decomposition
Keyword(4) NIST SP800-22
Keyword(5) Lempel-Ziv compression test
Keyword(6) complexity
1st Author's Name Kenji HAMANO
1st Author's Affiliation Graduate School of Frontier Sciences, The University of Tokyo()
2nd Author's Name Hirosuke YAMAMOTO
2nd Author's Affiliation Graduate School of Frontier Sciences, The University of Tokyo
Date 2008-02-29
Paper # IT2007-55,ISEC2007-152,WBS2007-86
Volume (vol) vol.107
Number (no) 503
Page pp.pp.-
#Pages 8
Date of Issue