New covering codes of radius R, codimension tR and $$tR+\frac{R}{2}$$, and saturating sets in projective spaces-Reference-Cited by-同舟云学术

New covering codes of radius R, codimension tR and $$tR+\frac{R}{2}$$, and saturating sets in projective spaces

Published:2019-06-10 Issue:12 Volume:87 Page:2771-2792
ISSN:0925-1022
Container-title:Designs, Codes and Cryptography
language:en
Short-container-title:Des. Codes Cryptogr.

Author:

Davydov Alexander A.^ORCID,Marcugini Stefano^ORCID,Pambianco Fernanda^ORCID

Funder

Italian National Group for Algebraic and Geometric Structures and their Applications

University of Perugia

Russian Government

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computer Science Applications

Link

http://link.springer.com/content/pdf/10.1007/s10623-019-00649-2.pdf

Reference33 articles.

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2. Bartoli D., Davydov A.A., Giulietti M., Marcugini S., Pambianco F.: New bounds for linear codes of covering radii 2 and 3, Cryptography and Communications, to appear, https://doi.org/10.1007/s12095-018-0335-0 . Accessed 26 May 2019.

3. Blokhuis A., Lovász L., Storme L., Szőnyi T.: On multiple blocking sets in Galois planes. Adv. Geom. 7(1), 39–53 (2007).

4. Boros E., Szőnyi T., Tichler K.: On defining sets for projective planes. Discret. Math. 303(1–3), 17–31 (2005).

5. Brualdi R.A., Pless V.S., Wilson R.M.: Short codes with a given covering radius. IEEE Trans. Inf. Theory 35(1), 99–109 (1989).

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