## 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