Title :
On the undetected error probability for binary codes
Author :
Fu, Fang-Wei ; Klove, T. ; Wei, Victor K -W
Author_Institution :
Temasek Labs., Nat. Univ. of Singapore, Tianjin, China
Abstract :
In this paper, the undetected error probability for binary codes is studied. First complementary codes are studied. Next, a new proof of Abdel-Ghaffar´s (1997) lower bound on the undetected error probability is presented and some generalizations are given. Further, upper and lower bounds on the undetected error probability for binary constant weight codes are given, and asymptotic versions are studied.
Keywords :
binary codes; error correction codes; error detection codes; error statistics; linear codes; ARQ error-control systems; asymptotic codes; binary constant weight codes; complementary codes; error correction codes; error-detecting code; linear code; lower bound; undetected error probability; upper bound; Automatic repeat request; Binary codes; Councils; Educational programs; Error probability; Laboratories; Linear code; Mathematics; Upper bound; Vectors;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2002.807299
