On Gabor orthonormal bases over finite prime fields
نویسندگان
چکیده
منابع مشابه
Structure of finite wavelet frames over prime fields
This article presents a systematic study for structure of finite wavelet frames over prime fields. Let $p$ be a positive prime integer and $mathbb{W}_p$ be the finite wavelet group over the prime field $mathbb{Z}_p$. We study theoretical frame aspects of finite wavelet systems generated by subgroups of the finite wavelet group $mathbb{W}_p$.
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In this paper we construct Galois towers with good asymptotic properties over any nonprime finite field F`; i.e., we construct sequences of function fields N = (N1 ⊂ N2 ⊂ · · · ) over F` of increasing genus, such that all the extensions Ni/N1 are Galois extensions and the number of rational places of these function fields grows linearly with the genus. The limits of the towers satisfy the same ...
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Over all non-prime finite fields, we construct some recursive towers of function fields with many rational places. Thus we obtain a substantial improvement on all known lower bounds for Ihara’s quantity A(`), for ` = p with p prime and n > 3 odd. A modular interpretation of the towers is given as well.
متن کاملstructure of finite wavelet frames over prime fields
this article presents a systematic study for structure of finite wavelet frames over prime fields. let $p$ be a positive prime integer and $mathbb{w}_p$ be the finite wavelet group over the prime field $mathbb{z}_p$. we study theoretical frame aspects of finite wavelet systems generated by subgroups of the finite wavelet group $mathbb{w}_p$.
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It is known that a linear code can be represented by a binomial ideal. In this paper, we give standard bases for the ideals in a localization of the multivariate polynomial ring in the case of the linear codes over prime fields.
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ژورنال
عنوان ژورنال: Bulletin of the London Mathematical Society
سال: 2020
ISSN: 0024-6093,1469-2120
DOI: 10.1112/blms.12426