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• W2054639264 abstract "Let cq(n,R) denote the minimum cardinality of a subset H in Fqn such that every word in this space differs in at most R coordinates from a scalar multiple of a vector in H, where q is a prime power. In order to explore symmetries of such coverings, a few properties of invariant sets under certain permutations are investigated. New classes of upper bounds on cq(n,R) are obtained, extending previous results. Let Kq(n,R) denote the minimum cardinality of an R-covering code in the n-dimensional space over an alphabet with q symbols. As another application, a very-known upper bound on Kq(n,R) is improved under certain conditions. Moreover, two extremal problems are discussed by using tools from graph theory." @default.
• W2054639264 created "2016-06-24" @default.
• W2054639264 creator A5048034831 @default.
• W2054639264 date "2013-02-01" @default.
• W2054639264 modified "2023-10-01" @default.
• W2054639264 title "Covering codes and extremal problems from invariant sets under permutations" @default.
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• W2054639264 doi "https://doi.org/10.1016/j.disc.2012.10.002" @default.
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