DocumentCode :
931326
Title :
A double circulant presentation for quadratic residue codes (Corresp.)
Author :
Jenson, Richard A.
Volume :
26
Issue :
2
fYear :
1980
fDate :
3/1/1980 12:00:00 AM
Firstpage :
223
Lastpage :
227
Abstract :
For 
there are two binary codes, 
and 
, each an extended quadratic residue code of length 
and dimension 
. The existence of double circulant generator matrices for these codes is investigated. A possibly infinite family of primes 
is presented for which and must have double circulant generator matrices. Two counterexamples prove the construction is not always possible.
there are two binary codes, and , each an extended quadratic residue code of length and dimension . The existence of double circulant generator matrices for these codes is investigated. A possibly infinite family of primes is presented for which and must have double circulant generator matrices. Two counterexamples prove the construction is not always possible.Keywords :
Residue codes; Binary codes; Decoding; Helium; Mathematics; Parity check codes; Writing;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.1980.1056159
Filename :
1056159
Link To Document :
