Abstract

GOMEZ, CARLOS ALEXIS  and  TRUJILLO, CARLOS ALBERTO. On S_h--Sequences of Binary Vectors and Lineal Codes. Rev.colomb.mat. [online]. 2011, vol.45, n.2, pp.137-146. ISSN 0034-7426.

A subset A of a commutative group G with operation addition, is a S_h--sequence in G, if all the sums of h distinct elements of A, omitting the permutations of the addends, determine different elements in G. In this article, a relationship between S_h-sequences in F₂^r and binary linear codes, is established.

Keywords : S_h--sequences of vectors binary; Error correcting codes.

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