2013/07/11 by Yildiz, Bahattin, Karadeniz, Suat
#11T71 #94B05 #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.1307.3047
Linear codes are considered over the ring Z4+uZ4, a non-chain extension of Z4. Lee weights, Gray maps for these codes are defined and MacWilliams identities for the complete, symmetrized and Lee weight enumerators are proved. Two projections from Z4+uZ4 to the rings Z4 and F2+uF2 are considered and self-dual codes over Z4+uZ4 are studied in connection with these projections. Finally three constructions are given for formally self-dual codes over Z4+uZ4 and their Z4-images together with some good examples of formally self-dual Z4-codes obtained through these constructions.