Found 37 Documents (Results 1–37)
On the equivalence issue of a class of 2-dimensional linear maximum rank distance codes. (English) Zbl 07757986
Small complete caps in \(\mathrm{PG}(4n+1, q)\). (English) Zbl 1521.51004
Reviewer: Luca Giuzzi (Brescia)
Two pointsets in \(\mathrm{PG}(2,q^n)\) and the associated codes. (English) Zbl 1530.51002
Reviewer: Norbert Knarr (Stuttgart)
Higher-degree symmetric rank-metric codes. arXiv:2303.06745
Preprint, arXiv:2303.06745 [cs.IT] (2023).
Extending two families of maximum rank distance codes. (English) Zbl 1500.94083
Reviewer: Gianira N. Alfarano (Zürich)
Polynomial methods and incidence theory. (English) Zbl 1505.51001
Cambridge Studies in Advanced Mathematics 197. Cambridge: Cambridge University Press (ISBN 978-1-108-83249-6/hbk; 978-1-108-95998-8/ebook). xvi, 246 p. (2022).
Reviewer: Audie Warren (Linz)
The cap set problem and standard diagrams. (English) Zbl 1477.51003
Reviewer: Luca Giuzzi (Brescia)
On certain linearized polynomials with high degree and kernel of small dimension. (English) Zbl 1481.11114
Reviewer: Kanat Abdukhalikov (Al Ain)
MRD-codes arising from the trinomial \(x^q + x^{q^3} + c x^{q^5} \in \mathbb{F}_{q^6} [x]\). (English) Zbl 1437.51006
Reviewer: Steven T. Dougherty (Scranton)
Divisible arcs, divisible codes, and the extension problem for arcs and codes. (English. Russian original) Zbl 1468.94485
Probl. Inf. Transm. 55, No. 3, 226-240 (2019); translation from Probl. Peredachi Inf. 55, No. 3, 30-45 (2019).
Bounds on sizes of generalized caps in \(\mathrm{AG} (n,q)\) via the Croot-Lev-Pach polynomial method. (English) Zbl 1421.05027
New applications of the polynomial method: the cap set conjecture and beyond. (English) Zbl 1434.11033
Multi-wise and constrained fully weighted Davenport constants and interactions with coding theory. (English) Zbl 1343.11012
Proof of a conjecture of Segre and Bartocci on monomial hyperovals in projective planes. (English) Zbl 1266.51013
Reviewer: Nick Gill (Milton Keynes)
A condition for arcs and MDS codes. (English) Zbl 1210.05019
Reviewer: Carlos Munuera (Valladolid)
Twisted tensor product codes. (English) Zbl 1184.94270
Sequences in abelian groups \(G\) of odd order without zero-sum subsequences of length \(\exp(G)\). (English) Zbl 1196.11043
Partial permutation decoding for codes from affine geometry designs. (English) Zbl 1143.94025
Reviewer: Sharad Sane (Mumbai)
Error-correcting codes. An introduction. (Codici correttori. Un’ introduzione.) (Italian) Zbl 1118.94001
Unitext 27. La Matematica per il 3 + 2. Milano: Springer (ISBN 88-470-0539-6/pbk). xiv, 402 p. (2006).
Reviewer: Giorgio Faina (Perugia)
Reed-Solomon codes. (Slovenian. English summary) Zbl 1119.94310
On the discrepancy of point distributions on spheres and hyperbolic spaces. (English) Zbl 1033.11037
Reviewer: Martin Blümlinger (Wien)
Fermat curves over finite fields and cyclic subsets in high-dimensional projective spaces. (English) Zbl 0981.11022
Reviewer: Hubert Kiechle (Hamburg)
On Kerdock codes. (English) Zbl 0920.94013
Mullin, Ronald C. (ed.) et al., Finite fields: theory, applications, and algorithms. Fourth international conference, Waterloo, Ontario, Canada, August 12–15, 1997. Providence, RI: American Mathematical Society. Contemp. Math. 225, 155-163 (1999).
Reviewer: T.Helleseth (Bergen)
A characterization of some minihypers and codes meeting the Griesmer bound over GF\((q), q>9\). (English) Zbl 0792.05034
Mullen, Gary L. (ed.) et al., Finite fields, coding theory, and advances in communications and computing. Proceedings of the international conference on finite fields, coding theory, and advances in communications and computing, held at the University of Nevada, Las Vegas, USA, August 7-10, 1991. New York: Marcel Dekker, Inc. Lect. Notes Pure Appl. Math. 141, 105-122 (1993).
Reviewer: N.Hamada (Osaka)
Groupe d’automorphismes des codes de Reed et Muller \(q\)-aires. (The automorphism group of the \(q\)-ary Reed-Muller codes). (French) Zbl 0744.94006
Reviewer: G.Faina (Perugia)
The Eisenstein measure and real quadratic fields. (English) Zbl 0684.10028
Théorie des nombres, C. R. Conf. Int., Québec/Can. 1987, 887-927 (1989).
Reviewer: T.M.Apostol
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