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
Creative Commons Attribution
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},
      note = {\url{https://eprint.iacr.org/2002/123}},
      url = {https://eprint.iacr.org/2002/123}
}
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