A characterization of the Grassmannian of points and lines for -buildings.
A characterization of the Hall planes by planar and nonplanar involutions.
A class of Buekenhout unitals in the Hall plane.
A class of complete arcs in multiply derived planes.
A Class of Translation Planes of Order 3...
A classification of finite homogeneous semilinear spaces.
A combinatorial approach to the known projective planes of order nine
A combinatorial characterization of finite projective planes using strongly canonical forms of incidence matrices is presented. The corresponding constructions are applied to known projective planes of order 9. As a result a new description of the Hughes plane of order nine is obtained.
A coordinatization of generalized quadrangles of order , .
A family of complete arcs in finite projective planes
A Family of Not (V, l)-Transitivity Projective Planes of Order q3, q ... 1 (mod 3) and q ... 2.
A flag transitive plane of order 49 and its translation complement.
A general coordinatization principle for projective planes with comparison of Hall and Hughes frames and with examples of generalized oval frames
A generalization of a construction due to Van Nypelseer.
A geometrical characterization of the projective plane of order
A geometrical construction of the oval(s) associated with an -flock.
A Goldbach theorem for polynomials of low degree over odd finite fields
A group-free characterization of the -geometry for .
A Jacobson radical decomposition of the Fano-Snowflake configuration.
A Necessary and Sufficient Condition for the Existence of an (n,r)-arc in PG(2,q) and Its Applications
ACM Computing Classification System (1998): E.4.Let q be a prime or a prime power ≥ 3. The purpose of this paper is to give a necessary and sufficient condition for the existence of an (n, r)-arc in PG(2, q ) for given integers n, r and q using the geometric structure of points and lines in PG(2, q ) for n > r ≥ 3. Using the geometric method and a computer, it is shown that there exists no (34, 3) arc in PG(2, 17), equivalently, there exists no [34, 3, 31] 17 code.This research was partially...
A Note of Affine Planes with Transitive Collineation Groups.