# [Resource Topic] 2002/123: New covering radius of Reed-Muller codes for $t$-resilient functions

Welcome to the resource topic for 2002/123

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

Authors: Kaoru Kurosawa, Tetsu Iwata, 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.

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