Search Results - Algebraic functions and function fields in algebraic geometry

Explicit Arithmetic of Jacobians of Generalized Legendre Curves Over Global Function Fields by Berger, Lisa, Hall, Chris, Pannekoek, René, Park, Jennifer, Pries, Rachel, Sharif, Shahed, Silverberg, Alice, Ulmer, Douglas

“…We study the Jacobian…”
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Bases for Riemann–Roch spaces of linearized function fields with applications to generalized algebraic geometry codes by Navarro, Horacio

“… In this paper, we determine explicit bases for Riemann–Roch spaces of linearized function fields, and we give a lower bound for the minimum distance of generalized algebraic geometry codes…”
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A New Construction of Nonlinear Codes via Algebraic Function Fields by Liu, Shu, Ma, Liming, Wu, Ting-Yi, Xing, Chaoping

“… In this paper, we provide a new explicit construction of <inline-formula> <tex-math notation="LaTeX">(q+1) </tex-math></inline-formula>-ary nonlinear codes via algebraic function fields…”
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Abelian varieties and number theory by Jarden, Moshe, Shaska, Tanush

“… of superelliptic Jacobians, obstructions to local-global principles over semi-global fields, Drinfeld modular varieties, representations of etale fundamental groups and specialization of algebraic…”
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Algebraic curves over a finite field by Hirschfeld, J. W. P, Korchmaros, Gabor, Torres, Fernando

“… Unlike other books, this one emphasizes the algebraic geometry rather than the function field approach to algebraic curves…”
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On cyclic algebraic-geometry codes by Cabaña, Gustavo, Chara, María, Podestá, Ricardo, Toledano, Ricardo

“…In this paper we initiate the study of cyclic algebraic geometry codes. We give conditions to construct cyclic algebraic geometry codes in the context of algebraic function fields over a finite field by using their group of automorphisms…”
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Arithmetic, geometry, cryptography, and coding theory 2021 : 18th International Conference, Arithmetic, Geometry, Cryptography, and Coding Theory, May 31-June 4, 2021, Centre international de rencontres mathématiques, Marseille, France by International Conference "Arithmetic, Geometry, Cryptography and Coding Theory", Anni, Samuele, Karemaker, Valentijn, Lorenzo García, Elisa

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Arithmetic geometry : computation and applications : 16th International Conference, Arithmetic, Geometry, Cryptography, and Coding Theory, June 19-23, 2017, Centre International de Rencontres Mathématiques, Marseille, France by International Conference "Arithmetic, Geometry, Cryptography and Coding Theory", Aubry, Yves, Howe, Everett W., Ritzenthaler, Christophe

“…The papers are original research articles covering a large range of topics, including weight enumerators for codes, function field analogs of the Brauer-Siegel theorem, the computation…”
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Algebraic Geometry Codes in the Sum-Rank Metric by Berardini, Elena, Caruso, Xavier

“… in the function field of an algebraic curve. We study the parameters of these codes and give lower bounds for their dimension and minimum distance…”
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Lifting iso-dual algebraic geometry codes by Chara, María, Podestá, Ricardo, Quoos, Luciane, Toledano, Ricardo

“…In this work we investigate the problem of producing iso-dual algebraic geometry (AG…”
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Riemann–Roch spaces of the Hermitian function field with applications to algebraic geometry codes and low-discrepancy sequences by Maharaj, Hiren, Matthews, Gretchen L., Pirsic, Gottlieb

“…This paper is concerned with two applications of bases of Riemann–Roch spaces. In the first application, we define the floor of a divisor and obtain improved bounds on the parameters of algebraic geometry codes…”
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Ansätze for scattering amplitudes from p-adic numbers and algebraic geometry by De Laurentis, Giuseppe, Page, Ben

“… To systematically study these surfaces and rational functions on them, we employ tools from algebraic geometry…”
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Women in Numbers 2 : research directions in number theory : BIRS Workshop, WIN2 -- Women in Numbers 2, November 6-11, 2011, Banff International Research Station, Banff, Alberta, Canada by WIN (Conference), David, Chantal, Lalin, Matilde, Manes, Michelle

“…The second Women in Numbers workshop (WIN2) was held November 6-11, 2011, at the Banff International Research Station (BIRS) in Banff, Alberta, Canada. During…”
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Linear Complementary Dual Codes and Linear Complementary Pairs of AG Codes in Function Fields by Castellanos, Alonso S., Marques, Adler V., Quoos, Luciane

“…> in the function field. The results are applied in constructing LCPs of algebraic geometry codes and LCD algebraic geometry (AG…”
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Arithmetic, geometry, cryptography and coding theory: 13th Conference on Arithmetic, Geometry, Cryptography and Coding Theory, March 14-18, 2011, CIRM, Marseille, France : Geocrypt 2011, June 19-24, 2011, Bastia, France by Aubry, Yves

“… The original research articles contained in this volume cover various topics ranging from algebraic number theory to Diophantine geometry, curves and abelian varieties over finite fields…”
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An Elementary Recursive Bound for Effective Positivstellensatz and Hilbert’s 17th problem by Lombardi, Henri, Perrucci, Daniel, Roy, Marie-Françoise

“… of rational functions, and we obtain as degree estimates for the numerators and denominators the following tower of five exponentials…”
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Complementary Dual Algebraic Geometry Codes by Mesnager, Sihem, Tang, Chunming, Qi, Yanfeng

“…) and fault non-invasive attacks. In this paper, we are interested in the construction of particular algebraic geometry LCD codes which could be good candidates to be resistant against SCA…”
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Explicit Constructions of MDS Self-Dual Codes by Sok, Lin

“…In this paper, we study self-dual codes over finite fields using tools from algebraic function fields in one variable…”
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p-adic analysis, arithmetic and singularities : UIMP-RSME Lluís A. Santaló Summer School, p-Adic Analysis, Arithmetic and Singularities, June 24-28, 2019, Universidad Internacional Menéndez Pelayo, Santander, Spain by UIMP-RSME Santaló Summer School, Galindo, Carlos, Melle-Hernández, Alejandro, Moyano-Fernández, Julio José, Zúñiga-Galindo, Wilson A.

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Cylinder partition function of the 6-vertex model from algebraic geometry by Bajnok, Zoltan, Jacobsen, Jesper Lykke, Jiang, Yunfeng, Nepomechie, Rafael I., Zhang, Yang

“…A bstract We compute the exact partition function of the isotropic 6-vertex model on a cylinder geometry with free boundary conditions, for lattices of intermediate size, using Bethe ansatz and algebraic geometry…”
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