Small Complete Caps from Singular Cubics

2013 ◽  
Vol 22 (10) ◽  
pp. 409-424 ◽  
Author(s):  
Nurdagül Anbar ◽  
Daniele Bartoli ◽  
Massimo Giulietti ◽  
Irene Platoni
Keyword(s):  
Complete Caps

scholarly journals Small complete caps from singular cubics, II

2014 ◽  
Vol 41 (1) ◽  
pp. 185-216 ◽  
Author(s):  
Nurdagül Anbar ◽  
Daniele Bartoli ◽  
Irene Platoni ◽  
Massimo Giulietti
Keyword(s):  
Complete Caps

scholarly journals Bicovering arcs and small complete caps from elliptic curves

2012 ◽  
Vol 38 (2) ◽  
pp. 371-392 ◽  
Author(s):  
Nurdagül Anbar ◽  
Massimo Giulietti
Keyword(s):  
Elliptic Curves ◽  
Complete Caps

Complete caps in AG(3, q) from elliptic curves

2014 ◽  
Vol 13 (08) ◽  
pp. 1450050 ◽  
Author(s):  
Irene Platoni
Keyword(s):  
Elliptic Curves ◽  
Lower Bounds ◽  
Three Dimensional ◽  
Complete Caps ◽  
Odd Order ◽  
Galois Space

In a three-dimensional Galois space of odd order q, the known infinite families of complete caps have size far from the theoretical lower bounds. In this paper, we investigate some caps defined from elliptic curves. In particular, we show that for each q between 100 and 350 they can be extended to complete caps, which turn out to be the smallest complete caps known in the literature.

Computer search for small complete caps

2000 ◽  
Vol 69 (1-2) ◽  
pp. 172-179 ◽  
Author(s):  
Patric R. J. �sterg�rd
Keyword(s):  
Computer Search ◽  
Complete Caps

On sizes of complete caps in projective spaces PG(n, q) and arcs in planes PG(2, q)

2009 ◽  
Vol 94 (1-2) ◽  
pp. 31-58 ◽  
Author(s):  
Alexander A. Davydov ◽  
Giorgio Faina ◽  
Stefano Marcugini ◽  
Fernanda Pambianco
Keyword(s):  
Projective Spaces ◽  
Complete Caps

Some families of complete caps of quadrics and symplectic polarities over GF(8)

1996 ◽  
Vol 60 (3) ◽  
Author(s):  
R.H. Dye
Keyword(s):  
Complete Caps

scholarly journals Small complete caps in three-dimensional Galois spaces

2013 ◽  
Vol 24 ◽  
pp. 184-191 ◽  
Author(s):  
Daniele Bartoli ◽  
Giorgio Faina ◽  
Massimo Giulietti
Keyword(s):  
Three Dimensional ◽  
Complete Caps

scholarly journals Small complete caps in Galois affine spaces

2006 ◽  
Vol 25 (2) ◽  
pp. 149-168 ◽  
Author(s):  
Massimo Giulietti
Keyword(s):  
Complete Caps ◽  
Affine Spaces

Complete Caps in AG(N,q) with BothNandqOdd

2017 ◽  
Vol 25 (9) ◽  
pp. 419-425 ◽  
Author(s):  
Daniele Bartoli ◽  
Giorgio Faina ◽  
Stefano Marcugini ◽  
Fernanda Pambianco
Keyword(s):  
Complete Caps

A construction of small complete caps in projective spaces

2016 ◽  
Vol 108 (1) ◽  
pp. 215-246 ◽  
Author(s):  
Daniele Bartoli ◽  
Giorgio Faina ◽  
Stefano Marcugini ◽  
Fernanda Pambianco
Keyword(s):  
Projective Spaces ◽  
Complete Caps
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