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}
}