Symbol-Pair Distances of Repeated-Root Negacyclic Codes of Length 2s over Galois Rings
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Negacyclic codes of length [Formula: see text] over the Galois ring [Formula: see text] are linearly ordered under set-theoretic inclusion, i.e., they are the ideals [Formula: see text], [Formula: see text], of the chain ring [Formula: see text]. This structure is used to obtain the symbol-pair distances of all such negacyclic codes. Among others, for the special case when the alphabet is the finite field [Formula: see text] (i.e., [Formula: see text]), the symbol-pair distance distribution of constacyclic codes over [Formula: see text] verifies the Singleton bound for such symbol-pair codes, and provides all maximum distance separable symbol-pair constacyclic codes of length [Formula: see text] over [Formula: see text].
2019 ◽
Vol 19
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2019 ◽
Vol 19
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2019 ◽
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2007 ◽
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2020 ◽
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pp. 231
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2018 ◽
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