β-Expansions in algebraic function fields over finite fields
نویسندگان
چکیده
منابع مشابه
beta-Expansions in algebraic function fields over finite fields
In the present paper, we define a new kind of digit system in algebraic function fields over finite fields. There are striking analogies of these digit systems to the well known β-expansions defined in R+. Results corresponding to classical theorems as well as open problems will be proved. In order to pursue this analogy we will recall the definition of real β-expansions and state the classical...
متن کاملClassical Wavelet Transforms over Finite Fields
This article introduces a systematic study for computational aspects of classical wavelet transforms over finite fields using tools from computational harmonic analysis and also theoretical linear algebra. We present a concrete formulation for the Frobenius norm of the classical wavelet transforms over finite fields. It is shown that each vector defined over a finite field can be represented as...
متن کاملWorkshop on Algebraic Curves Over Finite Fields
Let L(t) = 1+a1t+ · · ·+a2gt be the numerator of the zeta function of an algebraic curve C defined over the finite field Fq of genus g. We show that the coefficients ar of L(t) satisfy certain inequalities. Conversely, for any integers a1, . . . , am satisfying these inequalities and all sufficiently large integers g there exist curves of genus g, whose L-polynomial satisfies the following cong...
متن کاملAlgebraic Cayley graphs over finite fields
Article history: Received 6 April 2013 Received in revised form 23 January 2014 Accepted 25 January 2014 Available online xxxx Communicated by Igor Shparlinski MSC: 11L40 05C75 05C50
متن کاملClassical wavelet systems over finite fields
This article presents an analytic approach to study admissibility conditions related to classical full wavelet systems over finite fields using tools from computational harmonic analysis and theoretical linear algebra. It is shown that for a large class of non-zero window signals (wavelets), the generated classical full wavelet systems constitute a frame whose canonical dual are classical full ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Finite Fields and Their Applications
سال: 2007
ISSN: 1071-5797
DOI: 10.1016/j.ffa.2005.08.008