Self-Dual Codes and the Nonexistence of a Quasi-Symmetric 2-(37,9,8) Design with Intersection Numbers 1 and 3

Author:

Harada Masaaki1ORCID,Munemasa Akihiro1,Tonchev Vladimir D.2

Affiliation:

1. Research Center for Pure and Applied Mathematics; Graduate School of Information Sciences, Tohoku University; Sendai 980-8579 Japan

2. Department of Mathematical Sciences; Michigan Technological University Houghton; Michigan 49931

Funder

JSPS KAKENHI

National Security Agency

Publisher

Wiley

Subject

Discrete Mathematics and Combinatorics

Reference27 articles.

1. A complete classification of doubly even self-dual codes of length 40;Betsumiya;Electron J Combin,2012

2. The Magma algebra system I: The user language;Bosma;J Symbolic Comput,1997

3. Quasi-symmetric 2-(37, 9, 8) designs and self-orthogonal codes with automorphisms of order 5;Bouyuklieva;Math Balkanica (N.S.),2005

4. Classification of the (0, 2)-graphs of valency 8;Brouwer;Discrete Math,2009

5. A. E. Brouwer Parameters of Strongly Regular Graphs http://www.win.tue.nl/aeb/graphs/srg/srgtab.html

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