Search Results - "Muniz Silva Alves, Marcelo"
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Classification of Niederreiter-Rosenbloom-Tsfasman Block Codes
Published in IEEE transactions on information theory (01-10-2010)“…Poset and block metrics were introduced in recent years as alternative metrics to study error correcting codes. Poset-block codes were introduced in 2008,…”
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Symmetry groups of Rosenbloom–Tsfasman spaces
Published in Discrete mathematics (06-03-2009)“…Let F q m ⋅ n be the vector space of m ⋅ n -tuples over a finite field F q and P = { 1 , 2 , … , m ⋅ n } a poset that is the finite union of m disjoint chains…”
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Polynomial Invariant Theory and Shape Enumerator of Self-Dual Codes in the NRT-Metric
Published 08-04-2019“…In this paper we consider self-dual NRT-codes, that is, self-dual codes in the metric space endowed with the Niederreiter-Rosenbloom-Tsfasman (NRT-metric). We…”
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On cyclotomic cosets and code constructions
Published 12-11-2015“…Linear Algebra and its Applications, v. 488, p. 302-319, 2016 New properties of $q$-ary cyclotomic cosets modulo $n = q^{m} - 1$, where $q \geq 3$ is a prime…”
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