Title :
Binary Self-Dual Codes of Lengths 52 to 60 With an Automorphism of Order 7 or 13
Author :
Yankov, Nikolay ; Russeva, Radka
Author_Institution :
Fac. of Math. & Inf., Shumen Univ., Shumen, Bulgaria
Abstract :
All binary [n,n/2] optimal self-dual codes for length 52 ≤ n ≤ 60 with an automorphism of order 7 or 13 are classified up to equivalence. Two of the constructed [54,27,10] codes have weight enumerators that were not previously known to exist. There are also some [58,29,10] codes with new values of the parameters in their weight enumerator.
Keywords :
binary codes; [54,27,10] codes; [58,29,10] codes; binary [n,n/2] optimal self-dual codes; self-dual doubly-even extremal codes; Binary codes; Generators; Linear code; Polynomials; Support vector machines; Automorphisms; self-dual codes;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2011.2155619
