Published January 1, 2020 | Version v1
Journal article Open

SKEW CONSTACYCLIC CODES OVER THE LOCAL FROBENIUS NON-CHAIN RINGS OF ORDER 16

  • 1. Kenyon Coll, Dept Math, Gambier, OH 43022 USA
  • 2. Trakya Univ, Dept Math, TR-22030 Edirne, Turkey
  • 3. Ondokuz Mayis Univ, Dept Math, TR-55139 Samsun, Turkey
  • 4. Univ Scranton, Dept Math, Scranton, PA 18518 USA
  • 5. Res Council Turkey, Sci & Technol, TR-41401 Kocaeli, Turkey

Description

We introduce skew constacyclic codes over the local Frobenius non-chain rings of order 16 by defining non-trivial automorphisms on these rings. We study the Gray images of these codes, obtaining a number of binary and quaternary codes with good parameters as images of skew cyclic codes over some of these rings.

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