A characterization of -linear codes

作者:Borges Joaquim*; Fernandez Cordoba Cristina
来源:Designs, Codes and Cryptography, 2018, 86(7): 1377-1389.
DOI:10.1007/s10623-017-0401-1

摘要

We prove that the class of -linear codes is exactly the class of -linear codes with automorphism group of even order. Using this characterization, we give examples of known codes, e.g. perfect codes, which have a nontrivial structure. Moreover, we exhibit some examples of -linear codes which are not -linear. Also, we state that the duality of -linear codes is the same as the duality of -linear codes. Finally, we prove that the class of -linear codes which are also -linear is strictly contained in the class of -linear codes.

  • 出版日期2018-7