Classification of Optimal Binary Self-Orthogonal Codes

lliya Bouyukliev1, Stefka Bouyuklieva2, T. Aaron Gulliver3, Patric R. J. Ostergard4
1Institute of Mathematics and Informatics Bulgarian Academy of Sciences P.O. Box 323, 5000 Veliko Tarnovo, Bulgaria
2Department of Mathematics and Informatics Veliko Tarnovo University, 5000 Veliko Tarnovo, Bulgaria
3Department of Electrical & Computer Engineering University of Victoria P.O. Box 3055, STN CSC Victoria, BC, Canada V8W 3P6
4Department of Electrical & Communications Engineering Helsinki University of Technology P.O. Box 3000, 02015 HUT, Finland

Abstract

In this paper, we complete the classification of optimal binary linear self-orthogonal codes up to length 25. Optimal self-orthogonal codes are also classified for parameters up to length 40 and dimension 10. The results were obtained via two independent computer searches.