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Research Paper | Mathematics | India | Volume 4 Issue 5, May 2015

Construction of Upper Bound of Minimum Weight of An Even Formally Self Dual Code Over GF(4)

Dr. Mary Jansi Rani | J. Princivishvamalar | K. Abinaya Priya

Abstract: In this correspondence, we have constructed an upper bound of minimum weight of an even formally self dual code over GF (4). We have related the properties of self dual codes over GF (4) and discussed to isolate two classes of codes for which the minimum distance d - 2 [n/6]. They have established that the minimum weight of an even formally self dual code of length n satisfies d - 2 [n / 6]+2 except for the cases n = 12 and n = 14.

Keywords: Minimum distance, Upper bound, Self dual codes, Formally self dual codes, Weight enumerator, External weight enumerator

Edition: Volume 4 Issue 5, May 2015,

Pages: 569 - 570