Presentation 2004/3/8
A Positive Integer Code based on Extending Length Information for Fixed Times
Hirofumi NAKAMURA, Sadayuki MURASHIMA,
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Abstract(in English) A positive integer code, with I times extend of length information at the rear of the codeword of a kernel integer code, is proposed. Then, it is shown that it encodes given positive integer n not longer than log^*_2n-α^*ω^*(n)+βlog_2ω^*(n)+d bits in time complexity O(logn・loglogn)(l=1) or O(logn)(l≧2), where log^*_2n=log_2n+log_2log_2n+log_2log_2log_2n+…, α^*=log_2log_2e.log^*_2 adds positive terms and zero term. ω^*(n)is the number of the terms in log^*_2n. β is a constant larger than one. Examples of proposed code are shown for the parameters of l=2, β=2, d=2.75 and l= 3, β=2, d=4.25.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Positive integer code / asymptotically optimal / extention of length information / universal
Paper # IT2003-58,ISEC2003-98,WBS2003-176
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Committee ISEC
Conference Date 2004/3/8(1days)
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Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) A Positive Integer Code based on Extending Length Information for Fixed Times
Sub Title (in English)
Keyword(1) Positive integer code
Keyword(2) asymptotically optimal
Keyword(3) extention of length information
Keyword(4) universal
1st Author's Name Hirofumi NAKAMURA
1st Author's Affiliation Dept. of Electrical Engineering Computer Center, Miyakonojo National College of Technology()
2nd Author's Name Sadayuki MURASHIMA
2nd Author's Affiliation Dept. of Information and Computer Science, Faculty of Engineering, Kagoshima University
Date 2004/3/8
Paper # IT2003-58,ISEC2003-98,WBS2003-176
Volume (vol) vol.103
Number (no) 712
Page pp.pp.-
#Pages 6
Date of Issue