The cyclic q - clans with q F 2

The cyclic < ? - clans with q = 2 e

A Simple Classification of Finite Groups of Order p2q2

‎Suppose G is a group of order p^2q^2 where p>q are prime numbers and suppose P and Q are Sylow p-subgroups and Sylow q-subgroups of G, ‎respectively‎. ‎In this paper‎, ‎we show that up to isomorphism‎, ‎there are four groups of order p^2q^2 when Q and P are cyclic‎, ‎three groups when Q is a cyclic and P is an elementary ablian group‎, ‎p^2+3p/2+7 groups when Q is an elementary ablian group an...

Maximal Arcs in PG(2, q) and partial flocks of the quadratic cone

In this paper we show that there are several other structures that arise from the functions associated with the maximal arcs of Mathon type. So it is shown that maximal arcs of Mathon type are equivalent to additive partial flocks of the quadratic cone in PG(3, q) and to additive partial q-clans. Further they yield partial ovoids of Q(5, q), partial spreads of lines of PG(3, q), translation k-a...

Skew cyclic codes over $\mathbb{F}_{q}+v\mathbb{F}_{q}+v^{2}\mathbb{F}_{q}$

In this article, we study skew cyclic codes over ring R = Fq + vFq + v 2 Fq, where q = p, p is an odd prime and v3 = v. We describe generator polynomials of skew cyclic codes over this ring and investigate the structural properties of skew cyclic codes over R by a decomposition theorem. We also describe the generator polynomials of the duals of skew cyclic codes. Moreover, the idempotent genera...

Cyclic codes of arbitrary length over F q + uF q + u 2 F q + . . . + u k − 1 F

In this paper, we study the structure of cyclic codes of an arbitrary length n over the ring Fq + uFq + uFq + . . . + uFq, where u = 0 and q is a power of prime. Also we study the rank for these codes, and we find their minimal spanning sets. This study is a generalization and extension of the works in references [9] and [12], the dual codes over the ring Fq + uFq + uFq, where u3 = 0 are studie...