Abstract
AbstractIn this paper, we give a geometric construction of the three strong non-lifted $$(3\mod 5)$$
(
3
mod
5
)
-arcs in $${{\,\textrm{PG}\,}}(3,5)$$
PG
(
3
,
5
)
of respective sizes 128, 143, and 168, and construct an infinite family of non-lifted, strong $$(t\mod q)$$
(
t
mod
q
)
-arcs in $${{\,\textrm{PG}\,}}(r,q)$$
PG
(
r
,
q
)
with $$t=(q+1)/2$$
t
=
(
q
+
1
)
/
2
for all $$r\ge 3$$
r
≥
3
and all odd prime powers q.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computer Science Applications