Note on the size of standard two-character sets in PG(d,q)

This note concerns skills and research areas relating to the foundations of mathematics and the aspects of complementary and elementary mathematics from a higher point of view necessary for their treatment. In particular, we prove that, in PG(d,q), with d odd or q a square, any c-set of type (a,b) with 1 1 2 2 1 1 2 2 , d d d d d d c a J q b J q J J − − − − − −         +   −             ∈ has standard parameters.

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Publication Details

Journal
Journal of Discrete Mathematical Sciences and Cryptography
Published
2024-12-19
DOI
https://doi.org/10.47974/jdmsc-2056
Primary Topic
Mathematics and Applications
Type
article
Field-Weighted Citation Impact
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article

Note on the size of standard two-character sets in PG(d,q)

Daniela Toņdini
Journal of Discrete Mathematical Sciences and Cryptography
Mathematics and Applications
article

Note on the size of standard two-character sets in PG(d,q)

Daniela Toņdini
article en

Abstract

This note concerns skills and research areas relating to the foundations of mathematics and the aspects of complementary and elementary mathematics from a higher point of view necessary for their treatment. In particular, we prove that, in PG(d,q), with d odd or q a square, any c-set of type (a,b) with 1 1 2 2 1 1 2 2 , d d d d d d c a J q b J q J J − − − − − −         +   −             ∈ has standard parameters.

Journal of Discrete Mathematical Sciences and CryptographyVol. 28(1)
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Note on the size of standard two-character sets in PG(d,q) — Daniela Toņdini · Journal of Discrete Mathematical Sciences and Cryptography (2024) | TGRS Research Map | TGRS