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The probability of undetected error can have several local maxima

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2 Author(s)
Honkala, I.S. ; Dept. of Math., Turku Univ., Finland ; Laihonen, T.K.

We show that for a code used for error detection in the binary-symmetric channel (BSC), the probability of an undetected error can have several local maxima. In particular, we construct a code with three local maxima in (0, 1/2), a code with five local maxima in (0, 1); and a linear code with two local maxima in (0, 1/2) and a linear code with three local maxima in (0, 1)

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Information Theory, IEEE Transactions on  (Volume:45 ,  Issue: 7 )