3 research outputs found
Quantum Codes from additive constacyclic codes over a mixed alphabet and the MacWilliams identities
Let be the ring of integers modulo a prime number where
is a quadratic residue modulo . This paper presents the study of
constacyclic codes over chain rings and . We
also study additive constacyclic codes over and
using the generator polynomials over the
rings and respectively. Further, by defining Gray
maps on , and
we obtain some results on the Gray images of additive codes. Then we give the
weight enumeration and MacWilliams identities corresponding to the additive
codes over . Finally, as an application of
the obtained codes, we give quantum codes using the CSS construction.Comment: 22 page