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New upper and lower bounds on covering codes K_q(n,R) for alphabets of size 5 <= q <= 21

Marosi, Mark
arXiv (All) · Papers
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combinatoricsinformation-theory
Let K_q(n,R) denote the minimum cardinality of a q-ary code of length n with covering radius R. We improve the known bounds on K_q(n,R) in 83 cases (82 distinct cells). On the upper-bound side we give 25 improved bounds for 5<=q<=15 -- twenty-four found by search and one propagated by monotonicity -
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