DocumentCode :
314025
Title :
Algebraic-geometric codes over Z4
Author :
Shanbhag, Abhijit G. ; Kumar, P. Vijay
Author_Institution :
Qualcomm Inc., San Diego, CA, USA
fYear :
1997
fDate :
29 Jun-4 Jul 1997
Firstpage :
206
Abstract :
A new class of Z4-linear codes is constructed using algebraic-geometric tools and studied. Several known Z4-linear codes arise as special cases with an underlying rational function field. Sharp bounds for the dimension and minimum Lee weights of these codes, including what may be interpreted as the BCH and Goppa bounds for Z4-linear codes, are derived and some efficient codes are presented
Keywords :
BCH codes; Galois fields; Goppa codes; algebraic geometric codes; linear codes; BCH bounds; Galois ring; Goppa bounds; Z4 codes; algebraic-geometric codes; code dimension; linear codes; minimum Lee weights; sharp bounds; underlying rational function field; Galois fields;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Information Theory. 1997. Proceedings., 1997 IEEE International Symposium on
Conference_Location :
Ulm
Print_ISBN :
0-7803-3956-8
Type :
conf
DOI :
10.1109/ISIT.1997.613121
Filename :
613121
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=314025
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