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Codes from Generalized Hexagons
2005
Designs, Codes and Cryptography
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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
doi:10.1007/s10623-005-4035-3
fatcat:dzvjcui3kjen7prowy4twaks7y