Maximum distance separable codes over Z(4) and Z(2) x Z(4)

作者:Bilal M*; Borges J; Dougherty S T; Fernandez Cordoba C
来源:Designs, Codes and Cryptography, 2011, 61(1): 31-40.
DOI:10.1007/s10623-010-9437-1

摘要

Known upper bounds on the minimum distance of codes over rings are applied to the case of Z(2)Z(4)-additive codes, that is subgroups of Z(2)(alpha)xZ(4)(beta). Two kinds of maximum distance separable codes are studied. We determine all possible parameters of these codes and characterize the codes in certain cases. The main results are also valid when alpha = 0, namely for quaternary linear codes.

  • 出版日期2011-10