Found 318 Documents (Results 1–100)
Minimal linear codes derived from weakly regular bent and plateaued functions. (English) Zbl 07888082
A standard form for scattered linearized polynomials and properties of the related translation planes. (English) Zbl 07879477
Reviewer: Geertrui Van de Voorde (Canterbury)
On subspace designs. (English) Zbl 07854807
On the 430-cap of \(\mathrm{PG}(6,4)\) having two intersection sizes with respect to hyperplanes. (English) Zbl 1534.51007
Reviewer: Hendrik Van Maldeghem (Gent)
On regular sets of affine type in finite Desarguesian planes and related codes. (English) Zbl 1533.51006
Grassmannians of codes. (English) Zbl 1531.51004
Codes and pseudo-geometric designs from the ternary \(m\)-sequences with Welch-type decimation \(d = 2 \cdot 3^{(n -1)/2} + 1\). (English) Zbl 1531.51003
Optimal additive quaternary codes of dimension \(3.5\). arXiv:2410.07650
Preprint, arXiv:2410.07650 [math.CO] (2024).
New Results on Arcs in Projective Hjelmslev Planes over Small Chain Rings. arXiv:2409.02099
Preprint, arXiv:2409.02099 [math.CO] (2024).
On the equivalence issue of a class of 2-dimensional linear maximum rank distance codes. (English) Zbl 07757986
Cones from maximum \(h\)-scattered linear sets and a stability result for cylinders from hyperovals. (English) Zbl 1523.51006
Renitent lines. (English) Zbl 1523.51008
A note on small weight codewords of projective geometric codes and on the smallest sets of even type. (English) Zbl 1522.51009
Small complete caps in \(\mathrm{PG}(4n+1, q)\). (English) Zbl 1521.51004
Reviewer: Luca Giuzzi (Brescia)
Combining subspace codes. (English) Zbl 1525.94067
Reviewer: Xiang-Dong Hou (Tampa)
Two pointsets in \(\mathrm{PG}(2,q^n)\) and the associated codes. (English) Zbl 1530.51002
Reviewer: Norbert Knarr (Stuttgart)
Upper bounds on the length function for covering codes with covering radius \(R\) and codimension \(tR+1\). (English) Zbl 1521.94137
Some 3-designs and shortened codes from binary cyclic codes with three zeros. (English) Zbl 07697474
Reviewer: Andrea Švob (Rijeka)
Near MDS codes of non-elliptic-curve type from Reed-Solomon codes. (English) Zbl 1521.94108
Reviewer: Luca Giuzzi (Brescia)
On near-MDS codes and caps. (English) Zbl 1519.51007
Reviewer: Stefano Lia (Dublin)
Embedded antipodal planes and the minimum weight of the dual code of points and lines in projective planes of order \(p^2\). (English) Zbl 1509.51002
Automorphisms of maximal cliques of graphs of non-degenerate linear codes. arXiv:2312.14523
Preprint, arXiv:2312.14523 [math.CO] (2023).
Multispreads. arXiv:2312.07883
Preprint, arXiv:2312.07883 [cs.IT] (2023).
An asymptotic property of quaternary additive codes. arXiv:2308.05229
Preprint, arXiv:2308.05229 [math.CO] (2023).
New bounds for covering codes of radius 3 and codimension 3t+1. arXiv:2305.11955
Preprint, arXiv:2305.11955 [math.CO] (2023).
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)
The Geometry of \((t\mod{q})\)-arcs. arXiv:2211.16793
Preprint, arXiv:2211.16793 [math.CO] (2022).
Coding theory and Galois geometries. (English) Zbl 1489.94196
Huffman, W. Cary (ed.) et al., Concise encyclopedia of coding theory. Boca Raton, FL: CRC Press. 285-305 (2021).
Extended cyclic codes, maximal arcs and ovoids. (English) Zbl 1519.94242
Reviewer: Luca Giuzzi (Brescia)
On the Grassmann graph of linear codes. (English) Zbl 1479.51012
Reviewer: Ferdinando Zullo (Caserta)
Steiner systems and configurations of points. (English) Zbl 1486.51005
Reviewer: Zihong Tian (Shijiazhuang)
On certain linearized polynomials with high degree and kernel of small dimension. (English) Zbl 1481.11114
Reviewer: Kanat Abdukhalikov (Al Ain)
Ovoidal fibrations in \(\mathrm{PG}(3,q),q\) even. (English) Zbl 1473.51009
Reviewer: Guglielmo Lunardon (Napoli)
On planes through points off the twisted cubic in \(\mathrm{PG}(3,q)\) and multiple covering codes. (English) Zbl 1459.51004
Reviewer: Geertrui Van de Voorde (Canterbury)
Equivalence and characterizations of linear rank-metric codes based on invariants. (English) Zbl 1447.51010
On varieties defined by large sets of quadrics and their application to error-correcting codes. (English) Zbl 1458.51004
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)
A linear code based on resilient Boolean maps whose dual is a platform for a robust secret sharing scheme. (English) Zbl 1444.94126
Reviewer: Matteo Bonini (Trento)
On the structure of some arcs related to caps and the nonexistence of some optimal codes. (English) Zbl 1474.51005
Bounds on \(m_r(2,29)\). (English) Zbl 1455.51003
On linear codes of almost constant weight and the related arcs. (English) Zbl 1474.94081
Reviewer: Ivan D. Chipchakov (Sofia)
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).
New covering codes of radius \(R\), codimension \(tr\) and \(tr+\frac{R}{2}\), and saturating sets in projective spaces. (English) Zbl 1428.51003
Identifiers for MRD-codes. (English) Zbl 1423.51007
Reviewer: Daniele Bartoli (Perugia)
Nuclei and automorphism groups of generalized twisted Gabidulin codes. (English) Zbl 1423.51006
Reviewer: Daniele Bartoli (Perugia)
Linear codes close to the Griesmer bound and the related geometric structures. (English) Zbl 1443.94114
Combinatorial metrics: MacWilliams-type identities, isometries and extension property. (English) Zbl 1421.94026
A general construction for blocking sets in finite affine geometries. (English) Zbl 1413.51003
Reviewer: Angela Slavova (Sofia)
Minimum distance of orthogonal line-Grassmann codes in even characteristic. (English) Zbl 1403.51003
Reviewer: Geertrui Van de Voorde (Gent)
A new family of MRD-codes. (English) Zbl 1401.51006
Reviewer: Daniele Bartoli (Perugia)
Stability of \(k \pmod p\) multisets and small weight codewords of the code generated by the lines of \(\mathrm{PG}(2,q)\). (English) Zbl 1390.51008
Classification of minimal 1-saturating sets in PG(v, 2), 2 <= v <= 6. arXiv:1802.04214
Preprint, arXiv:1802.04214 [math.CO] (2018).
On the sharpness of the Griesmer bound. (English) Zbl 1431.94156
Kabatiansky, Grigory (ed.) et al., Algebraic and combinatorial coding theory – 2016. Selected papers from the 15th international workshop (ACCT-XV), Albena, Bulgaria, June 18–24, 2016. Amsterdam: Elsevier. Electron. Notes Discrete Math. 57, 147-152 (2017).
Constant dimension codes from Riemann-Roch spaces. (English) Zbl 1384.94122
Reviewer: Carlos Munuera (Valladolid)
A note on divisible arcs in projective spaces of prime order. (English) Zbl 1389.51002
Reviewer: Ivan D. Chipchakov (Sofia)
Chow’s theorem for linear codes. (English) Zbl 1383.51008
Reviewer: Leo Storme (Gent)
On linear codes admitting large automorphism groups. (English) Zbl 1368.51011
Reviewer: Leo Storme (Gent)
Upper bounds on the smallest size of a saturating set in projective planes and spaces of even dimension. arXiv:1702.07939
Preprint, arXiv:1702.07939 [math.CO] (2017).
Veronese subspace codes. (English) Zbl 1358.51006
Reviewer: Norbert Knarr (Stuttgart)
Further results on multiple coverings of the farthest-off points. (English) Zbl 1348.94094
Reviewer: Steven T. Dougherty (Scranton)
The non-existence of \((104,22;3,5)\)-arcs. (English) Zbl 1352.51006
Reviewer: Steven T. Dougherty (Scranton)
On the extendability of quasidivisible Griesmer arcs. (English) Zbl 1354.51013
Reviewer: Norbert Knarr (Stuttgart)
Upper bounds on the smallest size of a complete arc in a finite Desarguesian projective plane based on computer search. (English) Zbl 1336.51004
Tables, bounds and graphics of the smallest known sizes of complete caps in the spaces \(\mathrm{PG}(3,q)\) and \(\mathrm{PG}(4,q)\). arXiv:1610.09656
Preprint, arXiv:1610.09656 [math.CO] (2016).
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