Quadratic residue codes over Z_9
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A subset of n tuples of elements of Z_9 is said to be a code over Z_9 if it is a Z_9-module. In this paper we consider an special family of cyclic codes over Z_9, namely quadratic residue codes. We define these codes in term of their idempotent generators and show that these codes also have many good properties which are analogous in many respects to properties of quadratic residue codes over finite fields.
Abstract
A subset of n tuples of elements of Z_9 is said to be a code over Z_9 if it is a Z_9-module. In this paper we consider an special family of cyclic codes over Z_9, namely quadratic residue codes. We define these codes in term of their idempotent generators and show that these codes also have many good properties which are analogous in many respects to properties of quadratic residue codes over finite fields.
참고문헌 (10)
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