Quasi-symmetric 2-(41, 9, 9) designs and doubly even self-dual codes of length 40

Author:

Munemasa Akihiro,Tonchev Vladimir D.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory

Reference12 articles.

1. Beth, T., Jungnickel, D., Lenz, H.: Design Theory, 2nd edn. Cambridge University Press, Cambridge (1999)

2. Betsumiya, K., Harada, M., Munemasa, A.: A complete classification of doubly even self-dual codes of length 40. Electron. J. Combin. 19(P18), 12 (2012)

3. Bose, R.C.: Strongly regular graphs, partial geometries and partially balanced designs. Pac. J. Math. 13(2), 389–419 (1963)

4. Bouyuklieva, S., Varbanov, Z.: Quasi-symmetric $$2$$-$$(37,9,8)$$ designs and self-orthogonal codes with automorphisms of order $$5$$. Math. Balkanica (N.S.) 19, 33–38 (2005)

5. Harada, M., Munemasa, A., Tonchev, V.D.: Self-dual codes and the non-existence of a quasi-symmetric $$2$$-$$(37,9,8)$$ design with intersection numbers $$1$$ and $$3$$. J. Combin. Des. 25, 469–476 (2017)

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