Codes from Generalized Hexagons

A. De Wispelaere, H. Van Maldeghem
2005 Designs, Codes and Cryptography  
In this paper, we construct some codes that arise from generalized hexagons with small parameters. As our main result we discover two new projective two-weight codes constructed from two-character sets in PG(5, 4) and PG(11, 2). These in turn are constructed using a new distance-2-ovoid of the classical generalized hexagon H(4). We remark that also the corresponding strongly regular graph is new, and we determine the automorphism group of the two-character set, which turns out to be the linear
more » ... roup L 2 (13). In fact, the two-character set is the union of two orbits in PG(5, 4) under the action of L 2 (13).
doi:10.1007/s10623-005-4035-3 fatcat:dzvjcui3kjen7prowy4twaks7y