Published January 1, 2016 | Version v1
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CODES OVER LOCAL RINGS OF ORDER 16 AND BINARY CODES

  • 1. Univ Scranton, Dept Math, Scranton, PA 18510 USA
  • 2. Eastern Kentucky Univ, Dept Math & Stat, Richmond, KY 40475 USA

Description

We study codes over the commutative local Frobenius rings of order 16 with maximal ideals of size 8. We define a weight preserving Gray map and study the images of these codes as binary codes. We study self-dual codes and determine when they exist.

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