pith. sign in

arxiv: 1711.05710 · v1 · pith:KYWK32QGnew · submitted 2017-11-15 · 🧮 math.CO

Classification of binary self-dual [76, 38, 14] codes with an automorphism of order 9

classification 🧮 math.CO
keywords codesautomorphismself-dualbinaryordernumbervaluesclassification
0
0 comments X
read the original abstract

Using the method for constructing binary self-dual codes with an automorphism of order square of a prime number we have classified all binary self-dual codes with length 76 having minimum distance $d=14$ and automorphism of order 9. Up to equivalence, there are six self-dual $[76, 38, 14]$ codes with an automorphism of type $9$-$(8,0,4)$. All codes obtained have new values of the parameter in their weight enumerator thus more than doubling the number of known values.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.