TY - GEN
T1 - Computing the Camion's multivariate BCH bound
AU - Bernal, Jose Joaquin
AU - Bueno-Carreno, Diana H.
AU - Simon, Juan Jacobo
PY - 2013
Y1 - 2013
N2 - The P. Camion's apparent distance of an abelian code is a generalization of the notion of the BCH bound of cyclic codes [3]. In this work, we present a method of computation of the apparent distance in multivariate abelian codes, based on manipulations of hypermatrices. Our algorithm needs fewer computations than any other, up to our knowledge; in fact, in the case of two dimensional abelian codes it has linear complexity. We give two applications. First, we construct abelian codes that multiply the dimension of a given cyclic code and equal its BCH bound. The second one is an approximation to a notion of BCH multivariate code.
AB - The P. Camion's apparent distance of an abelian code is a generalization of the notion of the BCH bound of cyclic codes [3]. In this work, we present a method of computation of the apparent distance in multivariate abelian codes, based on manipulations of hypermatrices. Our algorithm needs fewer computations than any other, up to our knowledge; in fact, in the case of two dimensional abelian codes it has linear complexity. We give two applications. First, we construct abelian codes that multiply the dimension of a given cyclic code and equal its BCH bound. The second one is an approximation to a notion of BCH multivariate code.
UR - https://www.scopus.com/pages/publications/84893232978
U2 - 10.1109/ITW.2013.6691285
DO - 10.1109/ITW.2013.6691285
M3 - Conference contribution
AN - SCOPUS:84893232978
SN - 9781479913237
T3 - 2013 IEEE Information Theory Workshop, ITW 2013
BT - 2013 IEEE Information Theory Workshop, ITW 2013
T2 - 2013 IEEE Information Theory Workshop, ITW 2013
Y2 - 9 September 2013 through 13 September 2013
ER -