Published January 1, 2017
| Version v1
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CYCLIC CODES OVER LOCAL FROBENIUS RINGS OF ORDER 16
- 1. Univ Scranton, Dept Math, Scranton, PA 18518 USA
- 2. Fatih Univ, Dept Math, TR-34500 Istanbul, Turkey
Description
We study cyclic codes over commutative local Frobenius rings of order 16 and give their binary images under a Gray map which is a generalization of the Gray maps on the rings of order 4. We prove that the binary images of cyclic codes are quasi-cyclic codes of index 4 and give examples of cyclic codes of various lengths constructed from these techniques including new optimal quasi-cyclic codes.
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