hrcak mascot   Srce   HID

Original scientific paper

Self-dual codes with an automorphism of order 17

Müberra Gürel   ORCID icon orcid.org/0000-0003-4727-1548 ; Safir Company Haznedar Mah. Menderes Cad., Istanbul, Turkey
Nikolay Yankov ; Faculty of Mathematics and Informatics, Shumen University, Bulgaria

Fulltext: english, pdf (184 KB) pages 97-107 downloads: 443* cite
APA 6th Edition
Gürel, M. & Yankov, N. (2016). Self-dual codes with an automorphism of order 17. Mathematical Communications, 21 (1), 97-107. Retrieved from https://hrcak.srce.hr/157710
MLA 8th Edition
Gürel, Müberra and Nikolay Yankov. "Self-dual codes with an automorphism of order 17." Mathematical Communications, vol. 21, no. 1, 2016, pp. 97-107. https://hrcak.srce.hr/157710. Accessed 2 Aug. 2021.
Chicago 17th Edition
Gürel, Müberra and Nikolay Yankov. "Self-dual codes with an automorphism of order 17." Mathematical Communications 21, no. 1 (2016): 97-107. https://hrcak.srce.hr/157710
Harvard
Gürel, M., and Yankov, N. (2016). 'Self-dual codes with an automorphism of order 17', Mathematical Communications, 21(1), pp. 97-107. Available at: https://hrcak.srce.hr/157710 (Accessed 02 August 2021)
Vancouver
Gürel M, Yankov N. Self-dual codes with an automorphism of order 17. Mathematical Communications [Internet]. 2016 [cited 2021 August 02];21(1):97-107. Available from: https://hrcak.srce.hr/157710
IEEE
M. Gürel and N. Yankov, "Self-dual codes with an automorphism of order 17", Mathematical Communications, vol.21, no. 1, pp. 97-107, 2016. [Online]. Available: https://hrcak.srce.hr/157710. [Accessed: 02 August 2021]

Abstracts
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.

Keywords
Automorphism; Classification; Self-dual code

Hrčak ID: 157710

URI
https://hrcak.srce.hr/157710

Visits: 672 *