Title :
New Linear Codes and Algebraic Function Fields Over Finite Fields
Author :
Xing, Chaoping ; Yeo, Sze Ling
Author_Institution :
Sch. of Phys. & Math. Sci., Nanyang Technol. Univ., Singapore
Abstract :
In this correspondence, we present 129 new linear codes over F8 and F9 based on the construction by Xing and Niederreiter using algebraic function fields and places of small degrees. In addition, we construct some global function fields in which the number of rational places improves the lower bounds given by van der Geer and van der Vlugt.
Keywords :
algebraic codes; linear codes; algebraic function field; finite field; global function field construction; linear code; lower bound; Broadcasting; Delay; Fading; Galois fields; Linear code; MIMO; Notice of Violation; OFDM; Resource management; Throughput; AG codes; class fields; function fields; new codes;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2007.909125
