A new criterion on normal bases of finite field extension Fqn/Fq is presented and explicit criterions for several particular finite field extensions are derived from this new criterion.

Given a prime power q and positive integer n, let Fqn denote the finite field with qn elements. Also a,b be arbitrary members of ground Fq. We investigate existence non-zero element ξ∈Fqn such that ξ+ξ−1 is primitive T(ξ)=a, T(ξ−1)=b, where T(ξ) denotes trace ξ in This was question intended to addressed by Cao Wang (2014). Their work dealt instead another problem already literature. Our solutio...

A queue layout of a graph consists of a linear order of its vertices and a partition of its edges into queues, such that no two edges in the same queue are nested. The minimum number of queues in a queue layout of a graph G, denoted by qn(G), is called the queuenumber of G. An n-dimensional folded hypercube, denoted by FQn, is an enhanced n-dimensional hypercube with one extra edge between vert...

Let Fq be a finite field and consider an extension Fqn where an optimal normal element exists. Using the trace of an optimal normal element in Fqn , we provide low complexity normal elements in Fqm , with m = n/k. We give theorems for Type I and Type II optimal normal elements. When Type I normal elements are used with m = n/2, m odd and q even, our construction gives Type II optimal normal ele...

هدف: این تحقیق با هدف ارائه مدلی برای ارتقای صلاحیت‌های حرفه‌ای مشاوران آموزشی در خدمات به دانش‌آموزان مقطع متوسطه اول انجام شد.مواد و روش‌ها: روش پژوهش حاضر، توصیفی از نوع اکتشافی حیث رویکرد، ترکیبی (کیفی-کمی) بود. بدو کار بخش کیفی مبتنی بر اجرای مصاحبه‌های صورت نیمه‌ساختاریافته خبرگان، ابعاد مؤلفه‌ها شناسایی کمی بهره‌گیری پرسشنامه، نسبت جمع‌آوری داده‌ها اقدام شد. مشارکت‌کنندگان 14 خبره حوزه م...