DocumentCode :
914060
Title :
Further results on product codes
Author :
Gore, Willis C.
Volume :
16
Issue :
4
fYear :
1970
fDate :
7/1/1970 12:00:00 AM
Firstpage :
446
Lastpage :
451
Abstract :
A new class of codes, called product generator codes, which are similar to Elias\´s iterated codes, are investigated. An important subclass of these codes is the generalized Reed-Muller codes. If the original codes that are iterated to produce a product code are 
and 
-step orthogonalizable, then the product code is ( 
)-step orthogonalizable. Further if a 
th-order product generator code is produced from these original 
-step orthogonal izable codes, the new code is at most 
step orthogonalizable.
and -step orthogonalizable, then the product code is ( )-step orthogonalizable. Further if a th-order product generator code is produced from these original -step orthogonal izable codes, the new code is at most step orthogonalizable.Keywords :
Product codes; Reed-Muller codes; Error correction codes; Gold; History; NIST; Parity check codes; Product codes; Prototypes; Reed-Solomon codes; Shift registers; Vectors;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.1970.1054477
Filename :
1054477
Link To Document :
