Found 80 Documents (Results 1–80)
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 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
A characterization of the Coxeter cap. (English) Zbl 1504.51005
Reviewer: Norbert Knarr (Stuttgart)
Extended cyclic codes, maximal arcs and ovoids. (English) Zbl 1519.94242
Reviewer: Luca Giuzzi (Brescia)
Twisted cubic and point-line incidence matrix in \(\operatorname{PG}(3,q)\). (English) Zbl 1473.51008
Classifying sets of class \([1,q+1,2q+1,q^2+q+1]_2\) in \(\mathrm{PG}(r, q)\), \(r\ge 3\). (English) Zbl 1459.51003
Steiner systems and configurations of points. (English) Zbl 1486.51005
Reviewer: Zihong Tian (Shijiazhuang)
New covering codes of radius \(R\), codimension \(tr\) and \(tr+\frac{R}{2}\), and saturating sets in projective spaces. (English) Zbl 1428.51003
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
On linear codes admitting large automorphism groups. (English) Zbl 1368.51011
Reviewer: Leo Storme (Gent)
Veronese subspace codes. (English) Zbl 1358.51006
Reviewer: Norbert Knarr (Stuttgart)
On the extendability of quasidivisible Griesmer arcs. (English) Zbl 1354.51013
Reviewer: Norbert Knarr (Stuttgart)
On the sharpness of Bruen’s bound for intersection sets in Desarguesian affine spaces. (English) Zbl 1296.51012
Reviewer: Basri Çelik (Nilüfer-Bursa)
Proof of a conjecture of Segre and Bartocci on monomial hyperovals in projective planes. (English) Zbl 1266.51013
Reviewer: Nick Gill (Milton Keynes)
A geometric proof of a theorem on antiregularity of generalized quadrangles. (English) Zbl 1257.51003
Reviewer: Leo Storme (Gent)
On construction of involutory MDS matrices from Vandermonde matrices in \(\mathrm{GF}(2^q)\). (English) Zbl 1255.94083
Small weight codewords in the dual code of points and hyperplanes in PG\((n, q), q\) even. (English) Zbl 1242.51005
Reviewer: Daniele Bartoli (Perugia)
A condition for arcs and MDS codes. (English) Zbl 1210.05019
Reviewer: Carlos Munuera (Valladolid)
On multiple caps in finite projective spaces. (English) Zbl 1204.51016
Reviewer: Giorgio Faina (Perugia)
Linear codes with covering radius 3. (English) Zbl 1189.94061
Reviewer: Leo Storme (Gent)
Complete \((q^2+q+8)/2\)-caps in the spaces \(\mathrm{PG}(3,q)\), \(q\equiv 2 \pmod 3\) an odd prime, and a complete 20-cap in \(\mathrm{PG}(3,5)\). (English) Zbl 1404.51008
Twisted tensor product codes. (English) Zbl 1184.94270
A characterization of quadrics by intersection numbers. (English) Zbl 1201.51013
Reviewer: Vito Napolitano (Napoli)
MSC:
51E20
On cyclic caps in 4-dimensional projective spaces. (English) Zbl 1196.51009
Reviewer: Norbert Knarr (Gießen)
Sequences in abelian groups \(G\) of odd order without zero-sum subsequences of length \(\exp(G)\). (English) Zbl 1196.11043
Maximal caps in \(\mathrm{AG}(6,3)\). (English) Zbl 1187.51010
Reviewer: Richard Bödi (Rüschlikon)
A lower bound for the minimum weight of the dual 7-ary code of a projective plane of order 49. (English) Zbl 1146.94013
The polynomial degree of the Grassmannian \(G(1,n,q)\) of lines in finite projective space \(PG(n,q)\). (English) Zbl 1196.14042
A family of complete caps in \(\mathbf{PG}(n,2)\). (English) Zbl 1081.51007
Reviewer: Giorgio Faina (Perugia)
New results on codes with covering radius 1 and minimum distance \(2\). (English) Zbl 1081.94041
Reviewer: Peter Boyvalenkov (Sofia)
On the minimum size of some minihypers and related linear codes. (English) Zbl 1065.94020
Reviewer: Giorgio Faina (Perugia)
A sequence of unique quaternary Griesmer codes. (English) Zbl 1061.94064
Reviewer: Ivan Landjev (Sofia)
LDPC codes from triangle-free line sets. (English) Zbl 1052.51008
Reviewer: Antonio Cossidente (Potenza)
Extensions of generalized product caps. (English) Zbl 1057.51005
Reviewer: Pavel Burda (Ostrava)
MSC:
51E22
On optimal codes over the field with five elements. (English) Zbl 1030.94044
Reviewer: Antonio Cossidente (Potenza)
The largest cap in \(AG\)(4, 4) and its uniqueness. (English) Zbl 1027.51015
Reviewer: Leo Storme (Gent)
MSC:
51E22
On sets without tangents in Galois planes of even order. (English) Zbl 1029.51001
Reviewer: Basri Çelik (Nilüfer-Bursa)
Projective planes, coverings and a network problem. (English) Zbl 1027.51014
Reviewer: Leo Storme (Gent)
Large caps in small spaces. (English) Zbl 0994.51005
Reviewer: Richard Bödi (Adliswil)
Veronese varieties over finite fields and their projections. (English) Zbl 0980.51009
Reviewer: Arnfried Kemnitz (Braunschweig)
Two-weight codes, partial geometries and Steiner systems. (English) Zbl 0971.51007
Designs Codes Cryptography 21, No. 1-3, 87-98 (2000); Erratum 23, No. 1, 113-123 (2001).
Reviewer: A.Cossidente (Potenza)
Mixed partitions of projective geometries. (English) Zbl 0969.51017
Reviewer: Norbert Knarr (Braunschweig)
MSC:
51E22
Long binary linear codes and large caps in projective space. (English) Zbl 0977.94050
Reviewer: Mario A.de Boer (Amsterdam)
41 is the largest size of a cap in \(PG(4, 4)\). (English) Zbl 0935.51008
Reviewer: D.Leemans (Bruxelles)
The nonexistence of some optimal ternary codes of dimension five. (English) Zbl 0968.94010
Reviewer: O.Ninnemann (Berlin)
Codes of small defect. (English) Zbl 0873.94020
Reviewer: G.Faina (Perugia)
Partitioning quadrics, symmetric group divisible designs and caps. (English) Zbl 0868.05008
Reviewer: W.E.Cherowitzo (Denver)
\(m\)-systems and partial \(m\)-systems of polar spaces. (English) Zbl 0877.51005
Reviewer: A.Makhnev (Ekaterinburg)
MSC:
51A50
\(k\)-arcs, hyperovals, partial flocks and flocks. (English) Zbl 0862.51008
Reviewer: T.G.Ostrom (Pullman)
On cyclic caps in projective spaces. (English) Zbl 0860.51003
Reviewer: G.Faina (Perugia)
Maximal three-independent subsets of \(\{0,1,2\}^ n\). (English) Zbl 0803.51016
Reviewer: G.Faina (Perugia)
Nets and their codes. (English) Zbl 0788.51015
Reviewer: G.Faina (Perugia)
The \(GF(p)\)-dimension of the codes generated by the classical point-line geometries over \(GF(p)\). (English) Zbl 0772.94013
Codes of Steiner triple and quadruple systems. (English) Zbl 0779.51004
Reviewer: A.Kondrat’ev (Sverdlovsk)
Hermitian varieties as codewords. (English) Zbl 0745.51007
Reviewer: M.J.De Resmini (Roma)
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