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Upper Bounds on the Weight Distribution Function for Some Classes of Linear Codes

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2 Author(s)
Klove, T. ; Dept. of Inf., Univ. of Bergen, Bergen, Norway ; Jinquan Luo

Upper bounds on the weight distribution function for codes of minimum distance at least 2 are given. Codes, where the bound is met with equality, are characterized. An improved upper bound on the weight distribution function for codes of minimum distance at least 3 is given. As an application, a sharp upper bound on the probability of undetected error for linear codes with full support is characterized.

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Information Theory, IEEE Transactions on  (Volume:58 ,  Issue: 8 )