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Bierbrauer (2012) developed the theory of q -linear cyclic codes over ( F q ) m and he obtained a parametric description of such codes by cyclotomic cosets. Recently, Cao et al. (2015) obtained the structure of cyclic additive codes over the Galois ring GR ( p ℓ , m ) , where m is a prime integer. Let R be a finite commutative ring and R n = R [ x ] ∕ 〈 x ...
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...
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