منابع مشابه
Integral point sets over finite fields
We consider point sets in the affine plane Fq where each Euclidean distance of two points is an element of Fq . These sets are called integral point sets and were originally defined in m-dimensional Euclidean spaces Em. We determine their maximal cardinality I(Fq , 2). For arbitrary commutative rings R instead of Fq or for further restrictions as no three points on a line or no four points on a...
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 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 کاملInclusion-maximal integral point sets over finite fields
We consider integral point sets in affine planes over finite fields. Here an integral point set is a set of points in F2q where the formally defined Euclidean distance of every pair of points is an element of Fq. From another point of view we consider point sets over F2q with few and prescribed directions. So this is related to Rédei’s work. Another motivation comes from the field of ordinary i...
متن کاملValue Sets of Polynomial Maps over Finite Fields
We provide upper bounds for the cardinality of the value set of a polynomial map in several variables over a finite field. These bounds generalize earlier bounds for univariate polynomials.
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ژورنال
عنوان ژورنال: The Annals of Mathematical Statistics
سال: 1957
ISSN: 0003-4851
DOI: 10.1214/aoms/1177706978