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Construction of Upper Bound of Minimum Weight of An Even Formally Self Dual Code Over GF(4)
Journal: International Journal of Science and Research (IJSR) (Vol.4, No. 5)Publication Date: 2015-05-05
Authors : Mary Jansi Rani; J. Princivishvamalar; K. Abinaya Priya;
Page : 569-570
Keywords : Minimum distance; Upper bound; Self dual codes; Formally self dual codes; Weight enumerator; External weight enumerator;
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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.
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