Cryptology ePrint Archive: Report 2002/123

New covering radius of Reed-Muller codes for $t$-resilient functions

Kaoru Kurosawa, Tetsu Iwata and Takayuki Yoshiwara

Abstract: From a view point of cryptography, we define a new covering radius of Reed-Muller codes as the maximum distance between $t$-{\it resilient} functions and the $r$-th order Reed-Muller code $RM(r,n)$. We next derive its lower and upper bounds. We also present a table of numerical data of our bounds.

Category / Keywords: secret-key cryptography / stream ciphers

Date: received 20 Aug 2002

Contact author: kurosawa at cis ibaraki ac jp

Available format(s): Postscript (PS) | Compressed Postscript (PS.GZ) | BibTeX Citation

Note: A preliminary version of this paper was presented at SAC 2001.

Version: 20020822:135351 (All versions of this report)

Short URL: ia.cr/2002/123

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