TY - JOUR
T1 - Constacyclic codes over finite local Frobenius non-chain rings with nilpotency index 3
AU - Castillo-Guillén, C. A.
AU - Rentería-Márquez, C.
AU - Tapia-Recillas, H.
N1 - Publisher Copyright:
© 2016 Elsevier Inc.
PY - 2017/1/1
Y1 - 2017/1/1
N2 - The main results of this paper are in two directions. First, the family of finite local Frobenius non-chain rings of length 4 (hence of nilpotency index 3) is determined. As a by-product all finite local Frobenius non-chain rings with p4 elements, (p a prime) are given. Second, the number and structure of γ-constacyclic codes over finite local Frobenius non-chain rings with nilpotency index 3, of length relatively prime to the characteristic of the residue field of the ring, are determined.
AB - The main results of this paper are in two directions. First, the family of finite local Frobenius non-chain rings of length 4 (hence of nilpotency index 3) is determined. As a by-product all finite local Frobenius non-chain rings with p4 elements, (p a prime) are given. Second, the number and structure of γ-constacyclic codes over finite local Frobenius non-chain rings with nilpotency index 3, of length relatively prime to the characteristic of the residue field of the ring, are determined.
KW - Chain rings
KW - Constacyclic codes
KW - Frobenius rings
KW - Galois extension of local commutative finite ring
KW - Length of a module
UR - http://www.scopus.com/inward/record.url?scp=84987973405&partnerID=8YFLogxK
U2 - 10.1016/j.ffa.2016.08.004
DO - 10.1016/j.ffa.2016.08.004
M3 - Artículo
SN - 1071-5797
VL - 43
SP - 1
EP - 21
JO - Finite Fields and their Applications
JF - Finite Fields and their Applications
ER -