## Implementation of an algorithm to compute the strong apparent distance of bivariate codes

Published in *Journal of Physics: Conference Series*, 2019

## Abstract

The BCH bound is the oldest lower bound for the minimum distance of a cyclic code. The study of this bound and its generalizations are classical topics, which includes the study of the very well-known family of BCH codes. In 1970, P. Camion extended the notion of BCH bound to the family of abelian codes by introducing the apparent distance of polynomials. Camion showed that the minimum value of the apparent distance of certain polynomials associated to codewords is less than or equal to the minimum distance of the code. The mentioned minimum value is known as the apparent distance of an abelian code. In 2016, Bernal-Bueno-Simón introduced the notion of strong apparent distance of polynomials and hypermatrices and developed an algorithm to compute the minimum strong apparent distance of a hypermatrix based on g-orbits manipulations. In this work, we will present the implementation of an algorithm to compute the strong apparent distance of bivariate codes.

Recommended citation: Bueno-Carreño, D. H., & López, J. M. (2019, January). Implementation of an algorithm to compute the strong apparent distance of bivariate codes. In Journal of Physics: Conference Series (Vol. 1160, No. 1, p. 012012). IOP Publishing. __https://iopscience.iop.org/article/10.1088/1742-6596/1160/1/012012/meta__