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Linear codes associated with the Desarguesian ovoids in Q^+(7,q)
[article]
2022
arXiv
pre-print
The Desarguesian ovoids in the orthogonal polar space Q^+(7,q) with q even have first been introduced by Kantor by examining the 8-dimensional absolutely irreducible modular representations of PGL(2,q^3). We investigate this module for all prime power values of q. The shortest PGL(2,q^3)-orbit O gives the Desarguesian ovoid in Q^+(7,q) for even q and it is known to give a complete partial ovoid of the symplectic polar space W(7,q) for odd q. We determine the hyperplane sections of O. As a
arXiv:2208.12919v1
fatcat:oqjp4i5xbrayrorcqp5eeabfhy