Linear codes close to the Griesmer bound and the related geometric structures

Author:

Rousseva AssiaORCID,Landjev Ivan

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computer Science Applications

Reference26 articles.

1. Ball S.: Table of bounds on three dimensional linear codes or (n,r) arcs in PG(2,q). https://mat-web.upc.edu/people/simeon.michael.ball/codebounds.html .

2. Ball S., Hill R., Landjev I., Ward H.N.: On $$(q^2+q+2, q+2)$$ ( q 2 + q + 2 , q + 2 ) -arcs in the projective plane $$PG(2, q)$$ P G ( 2 , q ) . Des. Codes Cryptogr. 24, 205–224 (2001).

3. Belov B.I., Logachev V.N., Sandimirov V.P.: Construction of a class of linear binary codes achieving the Varshamov–Griesmer bound. Probl. Inf. Transm. 10(3), 211–217 (1974).

4. Brouwer A.: Bounds on the minimum distance of linear codes. In: Pless V., Huffman W.C. (eds.) Handbook of Coding Theory, pp. 295–461. Elsevier, New York (1998).

5. Dodunekov S.: Optimal codes, DSc Thesis, Institute of Mathematics, Sofia (1985).

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