The Geometry of (t mod q)-arcs

Titelangaben

Kurz, Sascha ; Landjev, Ivan ; Pavese, Francesco ; Rousseva, Assia:
The Geometry of (t mod q)-arcs.
In: Designs, Codes and Cryptography. (11 November 2023) .
ISSN 1573-7586
DOI: https://doi.org/10.1007/s10623-023-01290-w

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Abstract

In this paper, we give a geometric construction of the three strong non-lifted (3 mod 5)-arcs in PG(3,5) of respective sizes 128, 143, and 168, and construct an infinite family
of non-lifted, strong (t mod q)-arcs in PG(r,q) with t=(q+1)/2 for all r≥3 and all odd prime powers q.