Self-dual codes with an automorphism of order 17
Gürel, Müberra ; Yankov, Nikolay
Mathematical Communications, Tome 21 (2016) no. 1, p. 97-107 / Harvested from Mathematical Communications
Text on Mathematical Communications
In this paper we study optimal binary self-dual codes with minimum distance 12 having an automorphism of order 17. We prove that all such codes have parameters [68 + f; 34 + f=2; 12]; f = 0; 2; 4 and automorphism of type 17- (4; f), f = 0; 2; 4 and provide a full classication of these codes. This classication gives: new values b = 17, 153,  170, 187, 221, 255 for = 0 in the weight enumerator W68,2 of [68, 34, 12] codes; new values b = 102, 136, 170, 204, 238, 272, 306, 340, 374, 408, 442, 476, 510, 544, 578, and 612 for g = 0 in W70,1 of [70, 35, 12] codes; numerous singly- and doubly-even [72, 36, 12] codes with new parameters in their weight enumerators.
Publié le : 2016-03-09
Classification:  Automorphism, Classification, Self-dual code,  94B05 
@article{mc1528,
     author = {G\"urel, M\"uberra and Yankov, Nikolay},
     title = {Self-dual codes with an automorphism of order 17},
     journal = {Mathematical Communications},
     volume = {21},
     number = {1},
     year = {2016},
     pages = { 97-107},
     language = {eng},
     url = {http://dml.mathdoc.fr/item/mc1528}
}

Gürel, Müberra; Yankov, Nikolay. Self-dual codes with an automorphism of order 17. Mathematical Communications, Tome 21 (2016) no. 1, pp.  97-107. http://gdmltest.u-ga.fr/item/mc1528/