Applications of Finite Frobenius Rings to the Foundations of Algebraic Coding Theory

نویسندگان

  • JAY A. WOOD
  • Florence Jessie MacWilliams
  • Andrew Gleason
  • Neil Sloane
چکیده

This article addresses some foundational issues that arise in the study of linear codes defined over finite rings. Linear coding theory is particularly well-behaved over finite Frobenius rings. This follows from the fact that the character module of a finite ring is free if and only if the ring is Frobenius.

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تاریخ انتشار 2011