Sufficient conditions for good and proper error detecting codes via their duals

• We have found earlier in [1] sufficient conditions for a linear block code to be good or proper for error detection. These conditions are expressed in terms of the weight distribution of the code. However, for codes with small co-dimension or with small number of nonzero weights in their dual codes the conditions would be technically easier to check if they were presented in terms of the dual weight distribution. This alternative representation is the purpose of the present paper.

Ämnesord

NATURVETENSKAP  -- Matematik -- Annan matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Other Mathematics (hsv//eng)

Nyckelord

error detecting code

dual code

probability of undetected error

probability ofundetected error

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