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- W1481999254 abstract "Let (mathcal R_{t,n}) denote the set of t-resilient Boolean functions of n variables. First, we prove that the covering radius of the binary Reed-Muller code RM(2,6) in the sets (mathcal R_{t,6}), t=0,1,2 is 16. Second, we show that the covering radius of the binary Reed-Muller code RM(2,7) in the set (mathcal R_{3,7}) is 32. We derive a new lower bound for the covering radius of the Reed-Muller code RM(2,n) in the set (mathcal R_{n-1,4}). Finally, we present new lower bounds in the sets (mathcal R_{t,7}), t=0,1,2." @default.
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- W1481999254 date "2003-01-01" @default.
- W1481999254 modified "2023-09-24" @default.
- W1481999254 title "On the Covering Radius of Second Order Binary Reed-Muller Code in the Set of Resilient Boolean Functions" @default.
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- W1481999254 doi "https://doi.org/10.1007/978-3-540-40974-8_8" @default.
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