Giorgio Faina

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All published works

Action	Title	Year	Authors
+	Complete Caps in AG(N,q) with Both<i>N</i>and<i>q</i>Odd	2017	Daniele Bartoli Giorgio Faina Stefano Marcugini Fernanda Pambianco
+	Upper bounds on the smallest size of a complete cap in $\mathrm{PG}(N,q)$, $N\ge3$, under a certain probabilistic conjecture	2017	Alexander A. Davydov Giorgio Faina Stefano Marcugini Fernanda Pambianco
+	Conjectural upper bounds on the smallest size of a complete cap in PG( N , q ), N ≥ 3	2017	Daniele Bartoli Alexander A. Davydov Giorgio Faina Stefano Marcugini Fernanda Pambianco
+	Upper bounds on the smallest size of a complete cap in $\mathrm{PG}(N,q)$, $N\ge3$, under a certain probabilistic conjecture	2017	Alexander A. Davydov Giorgio Faina Stefano Marcugini Fernanda Pambianco
+	A construction of small complete caps in projective spaces	2016	Daniele Bartoli Giorgio Faina Stefano Marcugini Fernanda Pambianco
+	S5-invariant Nonsingular Quartic Surfaces	2016	Giorgio Faina Stefano Marcugini Fernanda Pambianco Hitoshi Kaneta
+	Upper bounds on the smallest size of a complete arc in a finite Desarguesian projective plane based on computer search	2015	Daniele Bartoli Alexander A. Davydov Giorgio Faina Alexey Kreshchuk Stefano Marcugini Fernanda Pambianco
+	Upper bounds on the smallest size of a complete arc in PG(2, q) under a certain probabilistic conjecture	2014	Daniele Bartoli Alexander A. Davydov Giorgio Faina Alexey Kreshchuk Stefano Marcugini Fernanda Pambianco
+	New types of estimates for the smallest size of complete arcs in a finite Desarguesian projective plane	2014	Daniele Bartoli Alexander A. Davydov Giorgio Faina Stefano Marcugini Fernanda Pambianco
+	Tables, bounds and graphics of sizes of complete lexiarcs in the plane $\mathrm{PG}(2,q)$ for all $q\le301813$ and sporadic $q$ in the interval $[301897\ldots430007]$ obtained by an algorithm with fixed order of points (FOP)	2014	Daniele Bartoli Alexander A. Davydov Giorgio Faina Alexey Kreshchuk Stefano Marcugini Fernanda Pambianco
+	Tables of sizes of small complete arcs in the plane PG(2,q), q 190027, obtained by an algorithm with fixed order of points (FOP)	2014	Daniele Bartoli Alexander A. Davydov Giorgio Faina Stefano Marcugini Fernanda Pambianco
+	Tables, bounds and graphics of sizes of complete arcs in the plane $\mathrm{PG}(2,q)$ for all $q\le321007$ and sporadic $q$ in $[323761\ldots430007]$ obtained by an algorithm with fixed order of points (FOP)	2014	Daniele Bartoli Alexander A. Davydov Giorgio Faina Alexey Kreshchuk Stefano Marcugini Fernanda Pambianco
+	Tables of sizes of random complete arcs in the plane $PG(2,q)$	2014	Daniele Bartoli Alexander A. Davydov Giorgio Faina Stefano Marcugini Fernanda Pambianco
+	2-semiarcs in PG(2, q), q 2 13.	2014	Daniele Bartoli Giorgio Faina Gyoergy Kiss Stefano Marcugini Fernanda Pambianco
+	2-semiarcs in $\mathrm{PG}(2,q)$, $q\leq 13$	2014	Daniele Bartoli Giorgio Faina György Kiss Stefano Marcugini Fernanda Pambianco
+	Tables, bounds and graphics of sizes of complete arcs in the plane $\mathrm{PG}(2,q)$ for all $q\le321007$ and sporadic $q$ in $[323761\ldots430007]$ obtained by an algorithm with fixed order of points (FOP)	2014	Daniele Bartoli Alexander A. Davydov Giorgio Faina Alexey Kreshchuk Stefano Marcugini Fernanda Pambianco
+	Tables of sizes of small complete arcs in the plane PG(2,q), q 360007	2013	Daniele Bartoli Alexander A. Davydov Giorgio Faina
+	On the minimum size of complete arcs and minimal saturating sets in projective planes	2013	Daniele Bartoli Giorgio Faina Stefano Marcugini Fernanda Pambianco
+	Small complete caps in three-dimensional Galois spaces	2013	Daniele Bartoli Giorgio Faina Massimo Giulietti
+	The nonexistence of an additive quaternary [15,5,9]-code	2013	Daniele Bartoli Juergen Bierbrauer Giorgio Faina Stefano Marcugini Fernanda Pambianco
+	Classification of the smallest minimal 1-saturating sets in	2013	Fernanda Pambianco Daniele Bartoli Giorgio Faina Stefano Marcugini
+	On the genus of a cyclic curve over a finite field	2013	Giorgio Faina Fabio Pasticci
+	A new algorithm and a new type of estimate for the smallest size of complete arcs in	2013	Daniele Bartoli Giorgio Faina Stefano Marcugini Fernanda Pambianco Alexander A. Davydov
+	New upper bounds on the smallest size of a complete arc in a finite Desarguesian projective plane	2013	Daniele Bartoli Alexander A. Davydov Giorgio Faina Stefano Marcugini Fernanda Pambianco
+	The structure of quaternary quantum caps	2013	Jürgen Bierbrauer Daniele Bartoli Giorgio Faina Stefano Marcugini Fernanda Pambianco Yves Edel
+	Tables, bounds and graphics of the smallest known sizes of complete arcs in the plane $\mathrm{PG}(2,q)$ for all $q\le160001$ and sporadic $q$ in the interval $[160801\ldots 430007]$	2013	Daniele Bartoli Alexander A. Davydov Giorgio Faina Alexey Kreshchuk Stefano Marcugini Fernanda Pambianco
+	Tables of parameters of symmetric configurations $v_{k}$	2013	Alexander A. Davydov Giorgio Faina Massimo Giulietti Stefano Marcugini Fernanda Pambianco
+	Two types of upper bounds on the smallest size of a complete arc in the plane PG(2, q)	2013	Daniele Bartoli Alexander A. Davydov Giorgio Faina Alexey Kreshchuk Stefano Marcugini Fernanda Pambianco
+	New upper bounds on the smallest size of a complete cap in the space PG(3, q)	2013	Daniele Bartoli Alexander A. Davydov Giorgio Faina Stefano Marcugini Fernanda Pambianco
+	The nonexistence of an additive quaternary [15,5,9]-code	2013	Daniele Bartoli Juergen Bierbrauer Giorgio Faina Stefano Marcugini Fernanda Pambianco
+	Embedding 1-Factorizations of K n in PG(2, 32)	2012	Giorgio Faina Cristiano Parrettini Fabio Pasticci
+	On constructions and parameters of symmetric configurations v_{k}	2012	Alexander A. Davydov Giorgio Faina Massimo Giulietti Stefano Marcugini Fernanda Pambianco
+	On constructions and parameters of symmetric configurations v_{k}	2012	Alexander A. Davydov Giorgio Faina Massimo Giulietti Stefano Marcugini Fernanda Pambianco
+	Upper bounds on the smallest size of a complete arc in the plane PG(2,q)	2011	Daniele Bartoli Alexander A. Davydov Giorgio Faina Stefano Marcugini Fernanda Pambianco
+ PDF Chat	On sizes of complete arcs in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si125.gif" display="inline" overflow="scroll"><mml:mi>P</mml:mi><mml:mi>G</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mi>q</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math>	2011	Daniele Bartoli Alexander A. Davydov Giorgio Faina Stefano Marcugini Fernanda Pambianco
+	Upper bounds on the smallest size of a complete arc in the plane PG(2,q)	2011	Daniele Bartoli Alexander A. Davydov Giorgio Faina Stefano Marcugini Fernanda Pambianco
+	On sizes of complete arcs in PG(2,q)	2010	Daniele Bartoli Alexander A. Davydov Giorgio Faina Stefano Marcugini Fernanda Pambianco
+	The maximal size of a maximal partial spread in PG(3,9)	2010	Giorgio Faina Olof Heden Stefano Marcugini Fernanda Pambianco
+	On sizes of complete arcs in PG(2,q)	2010	Daniele Bartoli Alexander A. Davydov Giorgio Faina Stefano Marcugini Fernanda Pambianco
+	New sizes of complete arcs in PG(2,q)	2010	Alexander A. Davydov Giorgio Faina Stefano Marcugini Fernanda Pambianco
+	On sizes of complete caps in projective spaces PG(n, q) and arcs in planes PG(2, q)	2009	Alexander A. Davydov Giorgio Faina Stefano Marcugini Fernanda Pambianco
+	Hyperfocused arcs in PG(2,32)	2008	Giorgio Faina Cristiano Parrettini Fabio Pasticci
+	On the spectrum of sizes of complete caps in projective spaces PG(n,q) of small dimension	2008	Alexander A. Davydov Giorgio Faina Stefano Marcugini Fernanda Pambianco
+	Hyperfocused arcs in PG(2,32)	2008	Giorgio Faina Cristiano Parrettini Fabio Pasticci
+	Aldo Cossu’s Work in Finite Geometry	2006	Giorgio Faina Gábor Korchmáros
+	Constructions of Small Complete Caps in Binary Projective Spaces	2005	Alexander A. Davydov Giorgio Faina Fernanda Pambianco
+	Computer search in projective planes for the sizes of complete arcs	2005	Alexander A. Davydov Giorgio Faina Stefano Marcugini Fernanda Pambianco
+	On small dense arcs in Galois planes of square order	2002	Giorgio Faina Massimo Giulietti
+	The Cyclic Model for(, ) and a Construction of Arcs	2002	Giorgio Faina György Kiss Stefano Marcugini Fernanda Pambianco
+	On some 10-arcs for deriving the minimum order for complete arcs in small projective planes	1999	Giorgio Faina Fernanda Pambianco
+	On the spectrum of the valuesk for which a completek- cap in PG(n, q) exists	1998	Giorgio Faina Fernanda Pambianco
+	The sizes k of the complete k-caps in PG(n, q), for small q and 3 = 5.	1998	Giorgio Faina Stefano Marcugini Alfredo Milani Fernanda Pambianco
+	Small complete caps in PG(r,q), r ⩾ 3	1997	Giorgio Faina Fernanda Pambianco
+	The Spectrum of Values k for which there Exists a Complete k-Arc in PG(2, q) for q<=23.	1997	Giorgio Faina Stefano Marcugini Alfredo Milani Fernanda Pambianco
+	A class of completek-caps inPG(3,q) forq an odd prime	1996	Giorgio Faina Fernanda Pambianco
+	Il Teorema di Hasse-Weil e la costruzione di archi completi di cardinalità piccola in piani di Galois di ordine dispari	1994	Giorgio Faina
+	Note on the number of solutions of an equation	1992	Giorgio Faina Emanuela Ughi
+	Planar functions: a remark concerning the number of solutions of an equation	1992	Giorgio Faina Emanuela Ughi
+	Sulla famiglia dei flocks lineari di una quadrica iperbolica assolutamente irriducibile di uno spazio proiettivo finito	1992	Arrigo Bonisoli Giorgio Faina
+	Recent intrinsic characterizations of ovoids and elliptic quadrics in PG(3,K)	1992	Giorgio Faina
+	Note on the non projective KrierB-oval	1986	Giorgio Faina
+	Pascalian Configurations in Projective Planes	1986	Giorgio Faina
+	Il sottogruppo generato dalle involuzioni regolari di un $B$-ovale $2$-transitivo	1985	Giorgio Faina Gábor Korchmáros
+	Sull'esistenza di certe configurazioni geometriche collegate ai piani proiettivi di ordine 10	1984	Giorgio Faina
+	The B-ovals of order q ⩽ 8	1984	Giorgio Faina
+	A Graphic Characterization of Hermitian Curves	1983	Giorgio Faina Gábor Korchmáros
+	Sui p-sottogruppi di Sylow di PSU(3, q2)	1983	Giorgio Faina
+	On the group of automorphisms of a finite Buekenhout oval which is not projective	1983	Giorgio Faina
+	Una costruzione di una classe di 3-tessuti	1982	Giorgio Faina
+	Desargues Configurations Inscribed in an Oval	1982	Giorgio Faina Gábor Korchmáros
+	Su una classe di ovali di un piano desarguesiano di ordine pari che danno luogo ad un piano inversivo	1980	Giorgio Faina Gábor Korchmáros
+	Una caratterizzazione del gruppo lineare PGL(2, K) e delle coniche astratte nel senso di Buekenhout	1980	Giorgio Faina G. Korchmàros

Common Coauthors

Coauthor	Papers Together
Fernanda Pambianco	46
Stefano Marcugini	41
Alexander A. Davydov	30
Daniele Bartoli	30
Alexey Kreshchuk	7
Gábor Korchmáros	5
Massimo Giulietti	5
Fabio Pasticci	4
Cristiano Parrettini	3
Alfredo Milani	2
György Kiss	2
Emanuela Ughi	2
Juergen Bierbrauer	2
Arrigo Bonisoli	1
Gyoergy Kiss	1
Yves Edel	1
Stefano Marcugini Fernanda Pambianco	1
Olof Heden	1
Hitoshi Kaneta	1
Jürgen Bierbrauer	1
G. Korchmàros	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Projective Geometries over Finite Fields	1998	J. W. P. Hirschfeld	19
+ PDF Chat	New inductive constructions of complete caps in<i>PG</i>(<i>N, q</i>),<i>q</i>even	2009	Alexander A. Davydov Massimo Giulietti Stefano Marcugini Fernanda Pambianco	18
+	Small Complete Arcs in Projective Planes	2003	J. H. Kim Van H. Vu	17
+	Computer search in projective planes for the sizes of complete arcs	2005	Alexander A. Davydov Giorgio Faina Stefano Marcugini Fernanda Pambianco	15
+	On sizes of complete caps in projective spaces PG(n, q) and arcs in planes PG(2, q)	2009	Alexander A. Davydov Giorgio Faina Stefano Marcugini Fernanda Pambianco	15
+ PDF Chat	Le geometrie di Galois	1959	Beniamino Segre	15
+	The Packing Problem in Statistics, Coding Theory and Finite Projective Spaces: Update 2001	2001	J. W. P. Hirschfeld Leo Storme	14
+	On the spectrum of the valuesk for which a completek- cap in PG(n, q) exists	1998	Giorgio Faina Fernanda Pambianco	14
+	The packing problem in statistics, coding theory and finite projective spaces	1998	J. W. P. Hirschfeld Leo Storme	13
+ PDF Chat	On sizes of complete arcs in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si125.gif" display="inline" overflow="scroll"><mml:mi>P</mml:mi><mml:mi>G</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mi>q</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math>	2011	Daniele Bartoli Alexander A. Davydov Giorgio Faina Stefano Marcugini Fernanda Pambianco	12
+	Complete caps in projective spaces PG (n, q)	2004	Alexander A. Davydov Stefano Marcugini Fernanda Pambianco	12
+	Computer search for small complete caps	2000	Patric R. J. �sterg�rd	12
+	Small complete caps in<i>PG</i>(<i>N</i>,<i>q</i>),<i>q</i>even	2006	Massimo Giulietti	11
+	New Examples of Complete k-Arcs in PG(2, q)	1983	Gábor Korchmáros	11
+ PDF Chat	Types of superregular matrices and the number of<i>n</i>‐arcs and complete<i>n</i>‐arcs in PG (<i>r, q</i>)	2005	Gerzson Kéri	11
+	New upper bounds on the smallest size of a complete arc in a finite Desarguesian projective plane	2013	Daniele Bartoli Alexander A. Davydov Giorgio Faina Stefano Marcugini Fernanda Pambianco	10
+	Small complete arcs in Galois planes	1985	Tamás Szőnyi	10
+ PDF Chat	Linear nonbinary covering codes and saturating sets in projective spaces	2011	Alexander A. Davydov Massimo Giulietti Stefano Marcugini Fernanda Pambianco	10
+	Small minimal blocking sets and complete k-arcs in PG(2,p3)	1999	Olga Polverino	10
+	On the Completeness of Certain Plane Arcs-II	1990	José Felipe Voloch	9
+	On the minimum size of complete arcs and minimal saturating sets in projective planes	2013	Daniele Bartoli Giorgio Faina Stefano Marcugini Fernanda Pambianco	9
+	On some 10-arcs for deriving the minimum order for complete arcs in small projective planes	1999	Giorgio Faina Fernanda Pambianco	9
+	The Spectrum of Values k for which there Exists a Complete k-Arc in PG(2, q) for q<=23.	1997	Giorgio Faina Stefano Marcugini Alfredo Milani Fernanda Pambianco	9
+	Orbits of arcs in PG(N, K) under projectivities	1992	CarlE. Gordon	8
+	Transitive A 6-invariant k-arcs in PG(2, q)	2012	Massimo Giulietti Gábor Korchmáros Stefano Marcugini Fernanda Pambianco	8
+	Small complete caps inPG(2,q), forq an odd square	2000	Massimo Giulietti	8
+	New types of estimates for the smallest size of complete arcs in a finite Desarguesian projective plane	2014	Daniele Bartoli Alexander A. Davydov Giorgio Faina Stefano Marcugini Fernanda Pambianco	8
+	Note on the order of magnitude of k for complete k-arcs in PG(2,q)	1987	Tamás Szőnyi	8
+	Some Applications of Algebraic Curves in Finite Geometry and Combinatorics	1997	Tamás Szőnyi	8
+ PDF Chat	Small complete caps in Galois affine spaces	2006	Massimo Giulietti	8
+	A new algorithm and a new type of estimate for the smallest size of complete arcs in	2013	Daniele Bartoli Giorgio Faina Stefano Marcugini Fernanda Pambianco Alexander A. Davydov	8
+	Minimal complete arcs in PG(2,q), q<= 32	2010	Stefano Marcugini Alfredo Milani Fernanda Pambianco	8
+	Random constructions and density results	2007	András Gács Tamás Szőnyi	7
+	On small dense arcs in Galois planes of square order	2002	Giorgio Faina Massimo Giulietti	7
+ PDF Chat	On sharply transitive sets in PG(2,q)	2008	Alexander A. Davydov Massimo Giulietti Stefano Marcugini Fernanda Pambianco	7
+	Small Complete Caps in Spaces of Even Characteristic	1996	Fernanda Pambianco Leo Storme	7
+	Finite projective spaces of three dimensions	1986	J. W. P. Hirschfeld	7
+	Complete arcs in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si98.gif" overflow="scroll"><mml:mtext>PG</mml:mtext><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mn>25</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math>: The spectrum of the sizes and the classification of the smallest complete arcs	2006	Stefano Marcugini Alfredo Milani Fernanda Pambianco	7
+	Constructions of small complete arcs with prescribed symmetry	2008	Petr Lisoněk Stefano Marcugini Fernanda Pambianco	6
+	Archi completi, contenenti (q+1)/2 punti di una conica, nei piani di Galois di ordine dispari	1993	Giuseppe di Pellegrino	6
+ PDF Chat	On complete caps and ovaloids in three-dimensional Galois spaces of characteristic two	1959	Beniamino Segre	6
+	On small complete arcs in a finite plane	1997	Simeon Ball	6
+	Small almost complete arcs	2002	Emanuela Ughi	5
+	Etude intrinsèque des ovales	1965	Francis Buekenhout Paul Libois	5
+	A class of completek-caps inPG(3,q) forq an odd prime	1996	Giorgio Faina Fernanda Pambianco	5
+	Two types of upper bounds on the smallest size of a complete arc in the plane PG(2, q)	2013	Daniele Bartoli Alexander A. Davydov Giorgio Faina Alexey Kreshchuk Stefano Marcugini Fernanda Pambianco	5
+ PDF Chat	Ovals In a Finite Projective Plane	1955	Beniamino Segre	5
+	A small complete arc in PG(2,q),q=p2,p≡3(mod4)	1999	Massimo Giulietti Emanuela Ughi	5
+	Sulle calotte complete, non ovaloidi, dello spazioPG(3,q),q dispari	1998	Giuseppe di Pellegrino	5
+	Small Complete Caps from Singular Cubics	2013	Nurdagül Anbar Daniele Bartoli Massimo Giulietti Irene Platoni	5