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New covering radius of Reed-Muller codes for $$t$$-resilient functions. (English) Zbl 1288.94067
The authors introduce a new covering radius of $$\text{RM}(r,n)$$ from the cryptography viewpoint that is defined as the maximum distance between $$t$$-resilient functions and the $$r$$th order Reed-Muller code $$\text{RM}(r,n)$$. They give its lower and upper bounds and present a table of numerical data of their bounds.

##### MSC:
 94A60 Cryptography 94B75 Applications of the theory of convex sets and geometry of numbers (covering radius, etc.) to coding theory
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