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Titlebook: Applied Algebra, Algebraic Algorithms and Error-Correcting Codes; 5th International Co Llorenç Huguet,Alain Poli Conference proceedings 198

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https://doi.org/10.1007/978-3-319-16024-5ce from those of the ordinary, we cited some heuristic examples. Finally, two appendices are attached, one is a special discussion concerning to requisite qualifications of RS codes to be employed for our strategy, in which, some numerical examples are given, the other one is a decoding procedure fo
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Frederik Milkau,John Collins,Wolfgang Ketterof [2] about the decomposition of directed graphs, applied to regular tournaments allow to determine their convex subsets in time 0(n.)..Very recent results of [1] about digraph decompositions gives an 0(n.)-algorithm. Our result is less general but much simpler.
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Vahid Vahidinasab,Behnam Mohammadi-Ivatloont codes by the simple argument used for the EUCLIDEAN algorithm..Finally a result of BERLEKAMP‘s [1] is exploited to reduce by another half the degrees of all polynomials involved in the decoding process in the particular case of binary BCH codes.
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https://doi.org/10.1007/978-3-642-48337-0=(m(m−1) (m−2))/2, k=(m(m−1) (m−3)+2)/2 and d=3..Using the fact that each codeword in C(T(m)) is formed by a combination of simple circuits in T(m), we give a characterization of its codewords which allow us to show that:.so, it is finally proved that given T(m) and any spanning tree in it, C(T(m)) has σ=[m(m−1)/4].
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Non simple tournaments : Theoretical properties and a polynomial algorithm,of [2] about the decomposition of directed graphs, applied to regular tournaments allow to determine their convex subsets in time 0(n.)..Very recent results of [1] about digraph decompositions gives an 0(n.)-algorithm. Our result is less general but much simpler.
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