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.
The geometry of $$(t\mod q)$$-arcs / Kurz, Sascha; Landjev, Ivan; Pavese, Francesco; Rousseva, Assia. - In: DESIGNS, CODES AND CRYPTOGRAPHY. - ISSN 0925-1022. - (2023). [10.1007/s10623-023-01290-w]
The geometry of $$(t\mod q)$$-arcs
Francesco Pavese;
2023-01-01
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.File in questo prodotto:
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