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New Binary Extremal Self-Dual Codes of Lengths 50 and 52

Buyuklieva, Stefka (1999)

Serdica Mathematical Journal

* This work was partially supported by the Bulgarian National Science Fund under Contract No. MM – 503/1995.New extremal binary self-dual codes of lengths 50 and 52 are constructed. Some of them are the first known codes with such weight enumerators. The structure of their automorphisms groups are shown.

New infinite families of 3-designs from algebraic curves of higher genus over finite fields.

Oh, Byeong-Kweon, Yu, Hoseog (2007)

The Electronic Journal of Combinatorics [electronic only]

New optimal constant weight codes.

Gashkov, I., Taub, D. (2007)

The Electronic Journal of Combinatorics [electronic only]

New regular partial difference sets and strongly regular graphs with parameters $(96, 20, 4, 4)$ and $(96, 19, 2, 4)$ .

Golemac, Anka, Mandić, Joško, Vučičić, Tanja (2006)

The Electronic Journal of Combinatorics [electronic only]

New Symmetric (61,16,4) Designs Invariant Under the Dihedral Group of Order 10

Landjev, Ivan, Topalova, Svetlana (1998)

Serdica Mathematical Journal

∗ This work has been partially supported by the Bulgarian NSF under Contract No. I-506/1995.In this note we construct five new symmetric 2-(61,16,4) designs invariant under the dihedral group of order 10. As a by-product we obtain 25 new residual 2-(45,12,4) designs. The automorphism groups of all new designs are computed.