One generator quasi-cyclic codes over F2 + uF2 + vF2 + uvF2 [article]

Srinivasulu B, Maheshanand Bhaintwal
2017 arXiv   pre-print
In this paper, we study the structure of 1-generator quasi-cyclic codes over the ring R = F2 + uF2 + vF2 + uvF2, with u2 = v2 = 0 and uv = vu. We determine the minimal spanning sets for these codes. As a generalization of these codes, we also investigate the structure of 1-generator generalized quasi-cyclic codes over R and determine a BCH type bound for them.
arXiv:1602.00139v3 fatcat:babccwoubrea3aoiwtt4cvmswq