Titlebook: Algebraic Coding; First French-Soviet Gérard Cohen,Antoine Lobstein,Simon Litsyn Conference proceedings 1992 Springer-Verlag Berlin Heidel

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Engulf

Filibuster

Constructions of codes with covering radius 2,Constructions of nonbinary linear codes with covering radius . = 2 are considered. Infinite families of linear .-ary codes with . 2, . ≥ 4, and a table of quaternary linear codes with . = 2, redundancy . ≤ 20, are given.

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On perfect weighted coverings with small radius,We extend the results of our previous paper [8] to the nonlinear case: The Lloyd polynomial of the covering has at least . distinct roots among 1,..., ., where . is the covering radius. We investigate . with diameter 1, finding a partial characterization. We complete an investigation begun in [8] on linear . with distance 1 and diameter 2.

Fulminate

Frequency

Bounds on covering radius of dual product codes,We present some new lower and upper bounds for the covering radius of codes dual to the product of parity check codes.

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煤渣

Saddle point techniques in asymptotic coding theory,We use asymptotic estimates on coefficients of generating functions to derive anew the asymptotic behaviour of the volume of Hamming spheres and Lee spheres for small alphabets. We then derive the asymptotic volume of Lee spheres for large alphabets, and an asymptotic relation between the covering radius and the dual distance of binary codes.

Nomadic

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