Orbiter 2022
Combinatorial Objects
orbiter::layer1_foundations::geometry Namespace Reference

Projective geometry over a finite field and related topics. More...

Classes

class  andre_construction
 Andre / Bruck / Bose construction of a translation plane from a spread. More...
 
class  andre_construction_line_element
 a line in the projective plane created using the Andre construction More...
 
class  andre_construction_point_element
 a point in the projective plane created using the Andre construction More...
 
class  arc_basic
 arcs, ovals, hyperovals etc. in projective planes More...
 
class  arc_in_projective_space
 arcs, ovals, hyperovals etc. in projective planes More...
 
class  buekenhout_metz
 Buekenhout-Metz unitals. More...
 
class  decomposition
 decomposition of an incidence matrix More...
 
class  desarguesian_spread
 desarguesian spread More...
 
class  flag
 a maximal chain of subspaces More...
 
class  geometric_object_create
 to create a geometric object from a description using class geometric_object_description More...
 
class  geometric_object_description
 to create a geometric object encoded as a set using a description from the command line More...
 
class  geometry_global
 various functions related to geometries More...
 
class  grassmann
 to rank and unrank subspaces of a fixed dimension in F_q^n More...
 
class  grassmann_embedded
 subspaces with a fixed embedding More...
 
class  hermitian
 hermitian space More...
 
class  hjelmslev
 Hjelmslev geometry. More...
 
class  incidence_structure
 interface for various incidence geometries More...
 
class  klein_correspondence
 the Klein correspondence between lines in PG(3,q) and points on the Klein quadric More...
 
class  knarr
 the Knarr construction of a GQ from a BLT-set More...
 
class  object_with_canonical_form
 a combinatorial object for which a canonical form can be computed using Nauty More...
 
struct  plane_data
 auxiliary class for the class point_line More...
 
class  point_line
 a data structure for general projective planes, including non-desarguesian ones More...
 
class  points_and_lines
 points and lines in projective space, for instance on a surface More...
 
class  polarity
 a polarity between points and hyperplanes in PG(n,q) More...
 
class  projective_space
 projective space PG(n,q) of dimension n over Fq More...
 
class  projective_space_implementation
 internal representation of a projective space PG(n,q) More...
 
class  spread_tables
 tables with line-spreads in PG(3,q) More...
 
class  W3q
 isomorphism between the W(3,q) and the Q(4,q) generalized quadrangles More...
 

Detailed Description

Projective geometry over a finite field and related topics.