Title :
Type II codes over F4
Author :
Gaborit, Philippe ; Pless, Vera ; Solé, Patrick ; Atkin, Oliver
Author_Institution :
Limoges Univ., France
Abstract :
The natural analogues of Lee weight and Gray map over F 4 are introduced. Self-dual codes for the Euclidean scalar product with Lee weights multiples of 4 are called Type II. They produce Type II binary codes by Gray map. All extended Q-codes of length multiples of 4 are Type II, this includes generalized quadratic residue codes attached to a prime power q≡7 (mod 8). Certain double circulant codes are also considered. The first binary extremal singly-even [92,46,16] self-dual code is constructed. A general mass formula is derived
Keywords :
Galois fields; binary codes; dual codes; residue codes; Euclidean scalar product; F4 finite field; Gray map; Lee weight; Type II codes; binary codes; binary extremal singly-even self-dual code; double circulant codes; extended Q-codes; general mass formula; generalized quadratic residue codes; self-dual codes; Binary codes; Galois fields; Hamming distance;
Conference_Titel :
Information Theory, 2000. Proceedings. IEEE International Symposium on
Conference_Location :
Sorrento
Print_ISBN :
0-7803-5857-0
DOI :
10.1109/ISIT.2000.866432
