Title :
On the probability of undetected error
Author :
Honkala, Iiro ; Laihonen, Tero
Author_Institution :
Dept. of Math., Turku Univ., Finland
Abstract :
We show that for a code used for error detection or combined error correction and detection in the binary symmetric channel, 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)
Keywords :
binary codes; error correction codes; error detection codes; error statistics; linear codes; binary symmetric channel; error correction code; error detection code; linear code; local maxima; undetected error probability; Binary codes; Bismuth; Error correction codes; Linear code; Mathematics; Polynomials;
Conference_Titel :
Information Theory, 2000. Proceedings. IEEE International Symposium on
Conference_Location :
Sorrento
Print_ISBN :
0-7803-5857-0
DOI :
10.1109/ISIT.2000.866552
