Anti-isomorphisms, character modules and self-dual codes over non-commutative rings
by Jay A. Wood
International Journal of Information and Coding Theory (IJICOT), Vol. 1, No. 4, 2010

Abstract: This paper is dedicated to Vera Pless. It is an elaboration on ideas of Nebe, Rains and Sloane: by assuming the existence of an anti-isomorphism on a finite ring and by assuming a module alphabet has a well-behaved duality, one is able to study self-dual codes defined over alphabets that are modules over a non-commutative ring. Various examples are discussed.

Online publication date: Sun, 25-Apr-2010

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