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Some new Results for Additive Self-Dual Codes over GF(4)

Varbanov, Zlatko (2007)

Serdica Journal of Computing

* Supported by COMBSTRU Research Training Network HPRN-CT-2002-00278 and the Bulgarian National Science Foundation under Grant MM-1304/03.Additive code C over GF(4) of length n is an additive subgroup of GF(4)n. It is well known [4] that the problem of finding stabilizer quantum error-correcting codes is transformed into problem of finding additive self-orthogonal codes over the Galois field GF(4) under a trace inner product. Our purpose is to construct good additive self-dual codes of length 13...

Symmetric flows and broadcasting in hypercubes

Jean-Claude Bermond, A. Bonnecaze, T. Kodate, Stéphane Pérennes, Patrick Solé (1999)

Annales de l'institut Fourier

In this paper, we propose a method which enables to construct almost optimal broadcast schemes on an n -dimensional hypercube in the circuit switched, Δ -port model. In this model, an initiator must inform all the nodes of the network in a sequence of rounds. During a round, vertices communicate along arc-disjoint dipaths. Our construction is based on particular sequences of nested binary codes having the property that each code can inform the next one in a single round. This last property is insured...

The (16,6,2) designs.

Assmus, E.F.jun., Salwach, Chester J. (1979)

International Journal of Mathematics and Mathematical Sciences

The Nonexistence of [132, 6, 86]3 Codes and [135, 6, 88]3 Codes

Oya, Yusuke (2011)

Serdica Journal of Computing

We prove the nonexistence of [g3(6, d), 6, d]3 codes for d = 86, 87, 88, where g3(k, d) = ∑⌈d/3i⌉ and i=0 ... k−1. This determines n3(6, d) for d = 86, 87, 88, where nq(k, d) is the minimum length n for which an [n, k, d]q code exists.

The Nonexistence of some Griesmer Arcs in PG(4, 5)

Landjev, Ivan, Rousseva, Assia (2008)

Serdica Journal of Computing

In this paper, we prove the nonexistence of arcs with parameters (232, 48) and (233, 48) in PG(4,5). This rules out the existence of linear codes with parameters [232,5,184] and [233,5,185] over the field with five elements and improves two instances in the recent tables by Maruta, Shinohara and Kikui of optimal codes of dimension 5 over F5.

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