[HTML][HTML] Complete classification of (δ+ αu2)-constacyclic codes over F2m [u]∕< u4> of oddly even length
Let F 2 m be a finite field of cardinality 2 m, R= F 2 m [u]∕< u 4> and n be an odd positive
integer. For any δ, α∈ F 2 m×, ideals of the ring R [x]∕< x 2 n−(δ+ α u 2)> are identified as
(δ+ α u 2)-constacyclic codes of length 2 n over R. In this paper, an explicit representation
and enumeration for all distinct (δ+ α u 2)-constacyclic codes of length 2 n over R are
presented.
integer. For any δ, α∈ F 2 m×, ideals of the ring R [x]∕< x 2 n−(δ+ α u 2)> are identified as
(δ+ α u 2)-constacyclic codes of length 2 n over R. In this paper, an explicit representation
and enumeration for all distinct (δ+ α u 2)-constacyclic codes of length 2 n over R are
presented.
Let F 2 m be a finite field of cardinality 2 m, R= F 2 m [u]∕< u 4> and n be an odd positive integer. For any δ, α∈ F 2 m×, ideals of the ring R [x]∕< x 2 n−(δ+ α u 2)> are identified as (δ+ α u 2)-constacyclic codes of length 2 n over R. In this paper, an explicit representation and enumeration for all distinct (δ+ α u 2)-constacyclic codes of length 2 n over R are presented.
Elsevier
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