engleski

Self-orthogonal codes constructed from orbit matrices

In [2] Harada and Tonchev showed a construction of self-orthogonal codes from orbit matrices of block designs with fixed-point-free automorphisms. In [1] we describe a construction of self-orthogonal codes from orbit matrices of symmetric designs admitting certain automorphisms with fixed points (and blocks). Further, we present a construction of self-orthogonal codes from orbit matrices of block designs and some other combinatorial structures. [1] D. Crnković, B. G. Rodrigues, S. Rukavina, L. Simčić, Ternary codes from the strongly regular (45, 12, 3, 3) graphs and orbit matrices of 2-(45, 12, 3) designs, Discrete Math. (2012), doi:10.1016/j.disc.2012.06.012. [2] M. Harada, V. D. Tonchev, Self-orthogonal codes from symmetric designs with fixed-point-free automorphisms, Discrete Math. 264 (2003), 81--90.

Self-orthogonal code; linear code; orbit matrix

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