Title :
More Goppa Geometric Codes Achieving the Gilbert-Varshamov Bound
Author :
Zhang, Ying ; Yue, Dian-Wu
Author_Institution :
Coll. of Inf. Eng., Dalian Maritime Univ., Dalian
Abstract :
In the present correspondence, by constructing a system of linear equations, computing the inverse of Vander-monde matrices and solving two counting problems, a condition of Xing used to choose specific divisors, using which one can get Goppa geometric codes achieving the Gilbert-Varshamov bound, is improved. Consequently, more Goppa geometric codes achieving the Gilbert-Varshamov bound can be obtained.
Keywords :
Goppa codes; geometric codes; matrix algebra; Gilbert-Varshamov bound; Goppa geometric code; Vander-monde matrix; Xing condition; counting problems; linear equations; Educational institutions; Entropy; Equations; Estimation theory; Geometry; Linear code; Parameter estimation;
Conference_Titel :
Wireless Communications, Networking and Mobile Computing, 2008. WiCOM '08. 4th International Conference on
Conference_Location :
Dalian
Print_ISBN :
978-1-4244-2107-7
Electronic_ISBN :
978-1-4244-2108-4
DOI :
10.1109/WiCom.2008.363
