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

Kaoru Kurosawa; Tetsu Iwata; Takayuki Yoshiwara

Paper 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.

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

Metadata

Available format(s): PS
Category: Secret-key cryptography
Publication info: Published elsewhere. Unknown where it was published
Keywords: stream ciphers
Contact author(s): kurosawa @ cis ibaraki ac jp
History: 2002-08-22: received
Short URL: https://ia.cr/2002/123
License: CC BY

BibTeX

@misc{cryptoeprint:2002/123,
      author = {Kaoru Kurosawa and Tetsu Iwata and Takayuki Yoshiwara},
      title = {New covering radius of Reed-Muller codes for $t$-resilient functions},
      howpublished = {Cryptology {ePrint} Archive, Paper 2002/123},
      year = {2002},
      url = {https://eprint.iacr.org/2002/123}
}