Constacyclic and cyclic codes over finite chain tings |
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Authors: | QIAN Jian-fa MA Wen-ping |
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Affiliation: | National Key Laboratory of ISN, Xidian University, Xi' an 710071, China |
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Abstract: | The problem of Gray image of constacyclic code over finite chain ring is studied. A Gray map between codes over a finite chain ring and a finite field is defined. The Gray image of a linear constacyclic code over the finite chain ring is proved to be a distance invariant quasi-cyclic code over the finite field. It is shown that every code over the finite field, which is the Gray image of a cyclic code over the finite chain ring, is equivalent to a quasi-cyclic code. |
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Keywords: | constacyclic code Gray map quasi-cyclic code cyclic code |
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