Abstract
We determine all homogeneous pseudo-embeddings of the affine space AG(n, 4) and the projective space PG(n, 4). We give a classification of all pseudo-hyperplanes of AG(n, 4). We also prove that the two homogeneous pseudo-embeddings of the generalized quadrangle Q(4, 3) are induced by the two homogeneous pseudo-embeddings of AG(4, 4) into which Q(4, 3) is fully embeddable.
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This is one of several papers published together in Designs, Codes and Cryptography on the special topic: “Geometric and Algebraic Combinatorics”.
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De Bruyn, B. The pseudo-hyperplanes and homogeneous pseudo-embeddings of AG(n, 4) and PG(n, 4). Des. Codes Cryptogr. 65, 127–156 (2012). https://doi.org/10.1007/s10623-011-9577-y
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DOI: https://doi.org/10.1007/s10623-011-9577-y