We determine explicit constructions for the five homogeneous pseudo-embeddings of the generalized quadrangle GQ(3, 5). We also discuss a number of applications to hyperovals and tight sets. In particular, we find explicit equations for each of the eight hyperovals of GQ(3, 5).(c) 2023 Elsevier B.V. All rights reserved.
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Univ Tunku Abdul Rahman, Fac Sci & Engn, Dept Math & Actuarial Sci, Kuala Lumpur 53300, MalaysiaUniv Tunku Abdul Rahman, Fac Sci & Engn, Dept Math & Actuarial Sci, Kuala Lumpur 53300, Malaysia
Chen, H. V.
Chin, A. Y. M.
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Univ Malaya, Fac Sci, Inst Math Sci, Kuala Lumpur 50603, MalaysiaUniv Tunku Abdul Rahman, Fac Sci & Engn, Dept Math & Actuarial Sci, Kuala Lumpur 53300, Malaysia
Chin, A. Y. M.
Sharmini, S.
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Univ Tunku Abdul Rahman, Fac Sci & Engn, Dept Math & Actuarial Sci, Kuala Lumpur 53300, MalaysiaUniv Tunku Abdul Rahman, Fac Sci & Engn, Dept Math & Actuarial Sci, Kuala Lumpur 53300, Malaysia