Results 241 to 250 of about 232,120 (259)
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On maximal curves with Frobenius dimension 3
Designs, Codes, and Cryptography, 2009Let \(\mathbb{F}_{q^{2}}\) be a finite field with \(q^{2}\) elements, where \(q\) is a power of a prime \(p\). An \(\mathbb{F}_{q^{2}}\)-rational curve, that is a projective, geometrically irreducible, non-singular algebraic curve defined over \(\mathbb{F}_{q^{2}}\), is called \(\mathbb{F}_{q^{2}}\)-maximal if the number of its \(\mathbb{F}_{q^{2 ...
Massimo Giulietti, Giulietti Massimo
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On a decoding algorithm for codes on maximal curves
IEEE Transactions on Information Theory, 1989A decoding algorithm for algebraic geometric codes that was given by A.N. Skorobogatov and S.G. Vladut (preprint, Inst. Problems of Information Transmission, 1988) is considered. The author gives a modified algorithm, with improved performance, which he obtains by applying the above algorithm a number of times in parallel.
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Maximal Isoptic Chords of Convex Curves
The American Mathematical Monthly, 2016AbstractIn this short note, we prove the following: for every convex body K in the plane of minimal width w, there exists a chord [x, y] with length larger than or equal to .w such that there are support lines of K through x and y which form an angle π/3. Moreover, if there is not such a chord with length exceeding w, then K is a Euclidean disc.
Jesús Jerónimo-Castro +1 more
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On maximal curves related to Chebyshev polynomials
Finite Fields and Their Applications, 2018Let \(\mathcal{C}\) be a (projective, nonsingular, geometrically irreducible, algebraic) curve of genus \(g\) defined over the finite field \(\mathbb{F}_{q^{2}}\), where \(q\) is a power of a prime \(p\). \(\mathcal{C}\) is called \(\mathbb{F}_{q^{2}}\)-maximal if its number of \(\mathbb{F}_{q^{2}}\)-rational points \(\#\mathcal{C}(\mathbb{F}_{q^{2}})\)
Ahmad Kazemifard +2 more
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Nonlinear Analysis: Theory, Methods & Applications, 1993
The authors give an application of an existence theorem for discontinuous differential equations proved by the first author and appearing elsewhere. Let \(U\) be a compact convex subset of \({\mathbf R}^ 2\) such that \(0\in \text{Int}(U)\). Set \[ U(x)= \Bigl\{u\in U: \langle u,x\rangle= \max_{v\in U} \langle v,x\rangle\Bigr\}. \] Let \(f: {\mathbf R}^
Rzymowski, Witold, Stachura, Adam
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The authors give an application of an existence theorem for discontinuous differential equations proved by the first author and appearing elsewhere. Let \(U\) be a compact convex subset of \({\mathbf R}^ 2\) such that \(0\in \text{Int}(U)\). Set \[ U(x)= \Bigl\{u\in U: \langle u,x\rangle= \max_{v\in U} \langle v,x\rangle\Bigr\}. \] Let \(f: {\mathbf R}^
Rzymowski, Witold, Stachura, Adam
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Weighted Lacunary Maximal Functions on Curves
Canadian Mathematical Bulletin, 1995AbstractLet γ(t) = (t, t2,..., tn) + a be a curve in Rn, where n ≥ 2 and a ∊ Rn. We prove LP-Lq estimates for the weighted lacunary maximal function, related to this curve, defined byIf n = 2 or 3 our results are (nearly) sharp.
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Explicit maximal and minimal curves of Artin–Schreier type from quadratic forms
Applicable Algebra in Engineering, Communications and Computing, 2020Luciane Quoos +2 more
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On the existence of superspecial and maximal nonhyperelliptic curves of genera four and five
Communications in Algebra, 2019Momonari Kudo
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Two-Point AG Codes on the GK Maximal Curves
IEEE Transactions on Information Theory, 2016Guilherme Tizziotti +1 more
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