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New covering radius of Reed-Muller codes for $t$-resilient functions
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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. |
BibTeX
@misc{eprint-2002-11646, title={New covering radius of Reed-Muller codes for $t$-resilient functions}, booktitle={IACR Eprint archive}, keywords={secret-key cryptography / stream ciphers}, url={http://eprint.iacr.org/2002/123}, note={ kurosawa@cis.ibaraki.ac.jp 11920 received 20 Aug 2002}, author={Kaoru Kurosawa and Tetsu Iwata and Takayuki Yoshiwara}, year=2002 }