Title :
Automorphism groups of one-point codes from the curves yq+y=xqr+1
Author :
Kondo, Shoichi ; Katagiri, Tomokazu ; Ogihara, Takao
Author_Institution :
Dept. of Math., Waseda Univ., Tokyo, Japan
fDate :
9/1/2001 12:00:00 AM
Abstract :
The automorphism groups are determined for the one-point codes C m on the curve over Fq2r defined by yq+y=xqr+1, where r is an odd number. This generalizes Xing´s theorem (see ibid., vol.41, p.1629-35, Nov. 1995) and extends a result of Wesemeyer (see ibid., vol.44, p.630-43, March 1998)to the case of the above curve
Keywords :
Galois fields; Goppa codes; geometric codes; group codes; Galois field; automorphism groups; geometric Goppa codes; one-point codes; Communication system control; Cost accounting; Decoding; Equations; Galois fields; Geometry; Information theory; Notice of Violation; Poles and towers; Tail;
Journal_Title :
Information Theory, IEEE Transactions on
