Quadratic residue codes over a non - chain ring extension of F 2

نویسنده

  • Irfan Siap
چکیده

The focus in this work is on quadratic residue codes over the ring F2+vF2. We define these codes in terms of their idempotent generators and show that these codes share the properties analogous to that of quadratic residue codes over finite fields. We study Euclidean and Hermitian self-dual families of codes as extended quadratic residue codes over F2 + vF2. Further, we obtain two optimal self-dual codes from this family.

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تاریخ انتشار 2012