Error-correcting codes for list decoding

Error-correcting codes for list decoding
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DOI:
10.1109/18.61123
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发表时间:
1991
期刊:
IEEE Trans. Inf. Theory
影响因子:
--
通讯作者:
P. Elias
P. Elias
中科院分区:
其他
文献类型:
--
作者:
P. Elias

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In the list-of-L decoding of a block code the receiver of a noisy sequence lists L possible transmitted messages, and is in error only if the correct message is not on the list. Consideration is given to (n,e,L) codes, which correct all sets of e or fewer errors in a block of n bits under list-of-L decoding. New geometric relations between the number of errors corrected under list-of-1 decoding and the (larger) number corrected under list-of-L decoding of the same code lead to new lower bounds on the maximum rate of (n,e,L) codes. They show that a jammer who can change a fixed fraction p >