A family of caps in projective 4-space in characteristic 2. (English) Zbl 0984.51003
Reviewer: Norbert Knarr (Braunschweig)
Found 721 Documents (Results 501–600)
Average interest rate caps. (English) Zbl 0947.91044
MSC:
91B28
Transition from circle packing to covering on a sphere: the odd case of 13 circles. (English) Zbl 0958.52020
Reviewer: William Moser (Montreal)
MSC:
52C15
Long binary linear codes and large caps in projective space. (English) Zbl 0977.94050
Reviewer: Mario A.de Boer (Amsterdam)
Classification of Goppa codes of genus zero. (English) Zbl 0964.05071
Reviewer: Robert F.Lax (Baton Rouge)
Linear programming bounds for codes in infinite projective spaces. (English) Zbl 0938.94019
Reviewer: A.Cossidente (Potenza)
A class of complete \(k\)-caps of small cardinality in projective spaces over fields of characteristic three. (English) Zbl 0939.51019
Reviewer: T.G.Ostrom (Pullman)
MSC:
51E22
Hyperovals in PG(2,4) and a self-dual code. (English) Zbl 0944.51005
Reviewer: G.Faina (Perugia)
Cyclic and elementary abelian caps in projective spaces. (English) Zbl 0944.51006
Reviewer: G.L.Ebert (Newark/Delaware)
MSC:
51E22
Mixed partitions of PG\((5,q)\). (English) Zbl 0939.51004
Reviewer: A.Makhnev (Ekaterinburg)
Constructions and families of nonbinary linear codes with covering radius \(2\). (English) Zbl 0957.94034
Giuseppe Veronese and Ernst Witt – neighbours in PG(5,3). (English) Zbl 0936.51006
Reviewer: Bart De Bruyn (Gent)
On the largest caps contained in the Klein quadric of \(PG(5,q)\), \(q\) odd. (English) Zbl 0947.51009
Reviewer: Jörg Eisfeld (Gießen)
Minkowski circle packings on the sphere. (English) Zbl 0945.52009
Reviewer: A.Florian (Salzburg)
Recursive constructions for large caps. (English) Zbl 0941.51009
Reviewer: T.G.Ostrom (Pullman)
Normal spreads. (English) Zbl 0944.51004
Reviewer: G.L.Ebert (Newark/Delaware)
41 is the largest size of a cap in \(PG(4, 4)\). (English) Zbl 0935.51008
Reviewer: D.Leemans (Bruxelles)
Fermat curves over finite fields and cyclic subsets in high-dimensional projective spaces. (English) Zbl 0981.11022
Reviewer: Hubert Kiechle (Hamburg)
A survey of recent results on optimal linear codes. (English) Zbl 0916.94009
Holroyd, Fred C. (ed.) et al., Combinatorial designs and their applications. Proceedings of the one-day conference, Milton Keynes, UK, 19 March 1997. London: Chapman & Hall/CRC. Chapman & Hall/CRC Res. Notes Math. 403, 127-152 (1999).
Reviewer: Tor Helleseth (Bergen)
New families of complete caps, and the asymptotic size of the largest caps, of quadrics over prime fields. (English) Zbl 0926.51006
Reviewer: W.E.Cherowitzo (Denver)
On the size of a cap in \(\text{PG} (n,q)\) with \(q\) even and \(n\geq 3\). (English) Zbl 0920.51004
Reviewer: A.Cossidente (Potenza)
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)
The sizes \(k\) of the complete \(k\)-caps in \(PG(n,q)\), for small \(q\) and \(3\leq n \leq 5\). (English) Zbl 0970.51014
Reviewer: Aleš Drápal (Praha)
A determination of the weight enumerator of the code of the projective plane of order 5. (English) Zbl 0992.94033
Reviewer: G.Faina (Perugia)
A characterization of MMD codes. (English) Zbl 0969.94031
Reviewer: G.Faina (Perugia)
The nonexistence of some optimal ternary codes of dimension five. (English) Zbl 0968.94010
Reviewer: O.Ninnemann (Berlin)
Linear spaces of quadrics and new good codes. (English) Zbl 0929.51007
Reviewer: Mario A.de Boer (Amsterdam)
A note on small complete caps in the Klein quadric. (English) Zbl 0927.51018
Reviewer: T.G.Ostrom (Pullman)
MSC:
51E22
On caps and cap partitions of Galois projective spaces. (English) Zbl 0927.51019
Reviewer: Norbert Knarr (Braunschweig)
MSC:
51E22
Binary codes and caps. (English) Zbl 0917.51015
Reviewer: A.Cossidente (Potenza)
Caps on parabolic and hyperbolic quadrics. (English) Zbl 0920.51005
Ballico, E. (ed.) et al., Recent progress in geometry. Palermo: Circolo Matemàtico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 51, 57-69 (1998).
Reviewer: W.E.Cherowitzo (Denver)
Averages of norms and quasi-norms. (English) Zbl 0920.46006
Reviewer: H.Junek (Potsdam)
On the existence of cyclic and pseudo-cyclic MDS codes. (English) Zbl 0928.94011
Reviewer: L.M.G.M.Tolhuizen (Eindhoven)
On the non-existence of cyclic MDS codes. (English) Zbl 0927.94015
Reviewer: A.Cossidente (Potenza)
On the spectrum of the values \(k\) for which a complete \(k\)-cap in \(PG(n,q)\) exists. (English) Zbl 0917.51016
Reviewer: L.Teirlinck (Auburn)
MSC:
51E22
Codes and projective multisets. (English) Zbl 0928.94009
Reviewer: D.Jungnickel (Augsburg)
Partitioning problems and flag-transitive planes. (English) Zbl 0926.51012
Combinatorics ’98. Proceedings of the international conference, Mondello, Italy, June 14–20, 1998. Mondello: Circolo Matemático di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 53, 27-44 (1998).
Reviewer: H.Löwe (Braunschweig)
On complete caps different from ovaloids of the space \(PG(3,q)\), \(q\) odd. (Italian. English summary) Zbl 0911.51014
Reviewer: Leo Storme (Gent)
Caps embedded in Grassmannians. (English) Zbl 0911.51013
Reviewer: D.Hachenberger (Augsburg)
Small sets of even type and codewords. (English) Zbl 0910.51005
Reviewer: G.Faina (Perugia)
External flats to varieties in \(\mathbb{P}\mathbb{G}(\bigwedge^2(V))\) over finite fields. (English) Zbl 0893.51010
Reviewer: A.Cossidente (Potenza)
The code of a regular generalized quadrangle of even order. (English) Zbl 0896.20010
Adem, Alejandro (ed.) et al., Group representations: cohomology, group actions and topology. Summer Research Institute on cohomology, representations, and actions of finite groups, Seattle, WA, USA, July 7–27, 1996, Providence, RI: American Mathematical Society. Proc. Symp. Pure Math. 63, 485-496 (1998).
Reviewer: A.Makhnev (Ekaterinburg)
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)
A note on the Flesaker-Hughston model of the term structure of interest rates. (English) Zbl 1009.91020
MSC:
91B28
On some caps of class \([1,m,n]_2\) in \(AG(3,q)\). (English) Zbl 0928.51008
Reviewer: P.Burda (Ostrava)
MSC:
51E22
On Kestenband-Ebert partitions. (English) Zbl 0916.20035
Reviewer: G.L.Ebert (Newark/Delaware)
On the completeness of certain caps. (English) Zbl 0903.12001
Reviewer: Dirk Hachenberger (Augsburg)
The spectrum of codes associated with the Grassmannian variety \(G(3,6)\). (English. Russian original) Zbl 1038.94565
Probl. Inf. Transm. 33, No. 2, 114-123 (1997); translation from Probl. Peredachi Inf. 33, No. 2, 26-36 (1997).
On the closeness of ball packings and the thickness of point sets in the spherical space. (Über die Enge von Kugelpackungen und Dicke von Punktsystemen im sphärischen Raum.) (German) Zbl 0892.52011
Reviewer: Peter Braß (Berlin)
Complete arcs and caps in some papers of Giuseppe Tallini and Walking with Giuseppe Tallini along the streets of “Augusta Perusia”. (English) Zbl 0895.51003
Reviewer: V.V.Pambuccian (Phoenix)
Small complete caps in \(PG(r,q)\), \(r\geq 3\). (English) Zbl 0892.51009
Reviewer: A.Cossidente (Potenza)
MSC:
51E22
Cyclic arcs and pseudo-cyclic MDS codes. (English) Zbl 0892.51008
Reviewer: A.Cossidente (Potenza)
Geometry of classical groups over finite fields and its applications. (English) Zbl 0895.20040
Reviewer: G.Stroth (Halle)
Partial flocks of quadratic cones with a point vertex in \(PG(n,q)\), \(n\) odd. (English) Zbl 0897.51007
Reviewer: K.Strambach (Erlangen)
MSC:
51E26
Some \(p\)-ranks related to geometric structures. (English) Zbl 0893.51012
Johnson, Norman L. (ed.), Mostly finite geometries. In celebration of T. G. Ostrom’s 80th birthday. Proceedings of the TEDFEST ’96 conference, Iowa City, IA, USA, March 1996. Dedicated to T. G. Ostrom on the occasion of his 80th birthday. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 190, 353-364 (1997).
Reviewer: J.W.P.Hirschfeld (Falmer)
Inscribed bundles, Veronese surfaces and caps. (English) Zbl 0948.51007
Hirschfeld, J. W. P. (ed.) et al., Geometry, combinatorial designs and related structures. Proceedings of the first Pythagorean conference, Island of Spetses, Greece, June 1-7, 1996. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 245, 27-32 (1997).
Reviewer: Arnfried Kemnitz (Braunschweig)
Intersection-sets in \(PG(n,2)\). (English) Zbl 0917.51006
Reviewer: A.Cossidente (Potenza)
Caps in finite projective spaces of odd order. (English) Zbl 0884.51009
Reviewer: H.Van Maldeghem (Gent)
MSC:
51E22
A geometrical construction of \((k;r,s;n,q^ 2)\)-sets. (English) Zbl 0888.51006
Reviewer: M.de Boer (Eindhoven)
MSC:
51E20
All \(\mathbb{Z}_ 4\) codes of type II and length 16 are known. (English) Zbl 0872.94050
Reviewer: G.Faina (Perugia)
\(m\)-systems and partial \(m\)-systems of polar spaces. (English) Zbl 0877.51005
Reviewer: A.Makhnev (Ekaterinburg)
MSC:
51A50
Multiple packings and coverings of the sphere. (English. Russian original) Zbl 0871.52015
Discrete Math. Appl. 6, No. 4, 413-426 (1996); translation from Diskretn. Mat. 8, No. 3, 148-160 (1996).
Reviewer: W.Moser (Montreal)
MSC:
52C17
Survey on geometry of classical groups over finite fields and its applications. (English) Zbl 0873.20035
Wan, Zhexian (ed.) et al., Group theory in China. Dedicated to Hsio-Fu Tuan on the occasion of his 82nd birthday. Dordrecht: Kluwer Academic Publishers. Math. Appl., Dordr. 365, 182-202 (1996).
Reviewer: G.Stroth (Halle)
A class of complete \(k\)-caps in \(PG(3,q)\) for \(q\) an odd prime. (English) Zbl 0871.51006
Reviewer: D.Jungnickel (Augsburg)
MSC:
51E22
Classification of maximal caps in PG(3,5) different from elliptic quadrics. (English) Zbl 0871.51005
Reviewer: D.Jungnickel (Augsburg)
MSC:
51E22
\(k\)-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)
Moon hypersurfaces and some related existence results of capillary hypersurfaces without gravity and of rotational symmetry. (English) Zbl 0853.53007
Reviewer: R.Finn (Stanford)
A characterization of \(\{ 3v_ 1+v_ 4,3v_ 0+v_ 3;4,3\}\)-minihypers and projective ternary [78,5,51]codes. (English) Zbl 0852.94024
Reviewer: W.E.Cherowitzo (Denver)
Some families of complete caps of quadrics and symplectic polarities over \(\text{GF}(8)\). (English) Zbl 0847.51006
Reviewer: H.Van Maldeghem (Gent)
MSC:
51E22
There exist caps which block all spaces of fixed codimension in \(\mathbb{P}\mathbb{G} (n,2)\). (English) Zbl 0843.51012
Reviewer: H.Van Maldeghem (Gent)
Planes, nets, and codes. (English) Zbl 0931.51004
On the number of points of some hypersurfaces in \(\mathbb{F}^n_q\). (English) Zbl 0899.94025
Reviewer: G.Faina (Perugia)
Some \(p\)-ranks related to Hermitian varieties. (English) Zbl 0888.51007
Reviewer: N.Knarr (Braunschweig)
A complete 24-arc in \(PG(2,29)\) with the automorphism group \(PSL(2,7)\). (English) Zbl 0879.51005
Reviewer: Theo Grundhöfer (Würzburg)
Formula for the number of \([9,3]\) MDS codes. (English) Zbl 0856.94024
Reviewer: G.Faina (Perugia)
On the size of arcs in projective spaces. (English) Zbl 0853.51006
Reviewer: G.Faina (Perugia)
Hybrid changeable basis Galerkin technique for nonlinear analysis of structures. (English) Zbl 0836.73085
MSC:
74S30
74H45
The adaptive parameter incremental method for the analysis of snapping problems. (English) Zbl 0836.73086
MSC:
74S30
74K15
Caps on elliptic quadrics. (English) Zbl 0845.51008
Reviewer: Gary L. Ebert (Newark/Delaware)
Covering a sphere and extremal properties of orthogonal polynomials. (English. Russian original) Zbl 0842.05021
Discrete Math. Appl. 5, No. 4, 371-379 (1995); translation from Diskretn. Mat. 7, No. 3, 81-88 (1995).
Reviewer: P.Braß (Greifswald)
A note on tensor products of polar spaces over finite fields. (English) Zbl 0836.51004
Reviewer: D.Jungnickel (Augsburg)
MSC:
51A50
Cyclic caps in \(\mathrm{PG}(3,q)\). (English) Zbl 0834.51005
Reviewer: T. G. Ostrom (Pullman)
MSC:
51E22
Two-graphs and skew two-graphs in finite geometries. (English) Zbl 0839.05024
Reviewer: W.E.Cherowitzo (Denver)
Some \(p\)-ranks related to orthogonal spaces. (English) Zbl 0843.51011
Reviewer: C.W.L.Garner (Ottawa)
MSC:
51E20
A characterization of some \(\{v_ 1+v_ 2+2v_ 3, v_ 0+v_ 1+2v_ 2; 4,3\}\)-minihypers and some \([90,5,59:3]\)-codes meeting the Griesmer bound. (English) Zbl 0842.94018
Reviewer: W.E.Cherowitzo (Denver)
Projective geometry over a finite field. (English) Zbl 0822.51007
Buekenhout, Francis (ed.), Handbook of incidence geometry: buildings and foundations. Amsterdam: North-Holland. 295-347 (1995).
Reviewer: T.G.Ostrom (Pullman)
Characterization of some optimal codes. (English) Zbl 0908.94032
Optimal codes and related topics. Proceedings, international workshop, May 26 - June 1, 1995. Sozopol, Bulgaria. Shumen: Panorama. 141-142 (1995).
The non-existence of \([32,5,22]\)-codes over \(\mathrm{GF}(4)\). (English) Zbl 0908.94028
Optimal codes and related topics. Proceedings, international workshop, May 26 - June 1, 1995. Sozopol, Bulgaria. Shumen: Panorama, 90-95 (1995).
The nonexistence of ternary \([270, 6, 179]\) codes and \([309, 6, 205]\) codes. (English) Zbl 0907.94029
Optimal codes and related topics. Proceedings, international workshop, May 26 - June 1, 1995. Sozopol, Bulgaria. Shumen: Panorama. 65-68 (1995).
A characterization of \(\{3v_1+v_4,3v_0+v_3;4,3\}\)-minihypers and projective ternary [78, 5, 51] codes. (English) Zbl 0906.94021
Optimal codes and related topics. Proceedings, international workshop, May 26 - June 1, 1995. Sozopol, Bulgaria. Shumen: Panorama. 61-64 (1995).
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