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On the Sporadic Semifield Flock

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Abstract

We obtain the BLT-set associated with the sporadic semifield flock of the quadratic cone in PG(3,35) as the complete intersection of the Payne–Thas and the Kantor–Knuth ovoids of the parabolic quadric Q(4,35. Also, we give an alternative construction of the Penttila–Williams ovoid of Q(4,35).

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Authors and Affiliations

  1. Dip. di Matematica e Applicazioni, Università degli Studi di Napoli “Federico II”, Complesso di Monte S. Angelo, Edificio T, Via Cintia, I-80126, Napoli, Italy

    I. Cardinali, O. Polverino & R. Trombetti

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  1. I. Cardinali
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  2. O. Polverino
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  3. R. Trombetti
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Cardinali, I., Polverino, O. & Trombetti, R. On the Sporadic Semifield Flock. Designs, Codes and Cryptography 30, 219–226 (2003). https://doi.org/10.1023/A:1025488922550

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