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Pacifico, Bastien [Author] ; Aix-Marseille [Contributor]; Ballet, Stéphane [Contributor]; Bonnecaze, Alexis [Contributor]

Polynomial construction of Chudnovsky-type algorithms with a linear bilinear complexity ; Construction polynomiale d'algorithmes de multiplication de type Chudnovsky de complexité bilinéaire linéaire

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http://www.theses.fr/2022AIXM0411/document

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theses.fr, 2022-12-15
Rambaud, Matthieu

Arithmetic of Finite Fields: Finding Optimal Chudnovsky-Chudnovsky Multiplication Algorithms

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Springer International Publishing, 2015

Published in: Arithmetic of Finite Fields (2015), Seite 45-60
Atighehchi, Kevin; Ballet, Stéphane; Bonnecaze, Alexis; Rolland, Robert

Arithmetic in finite fields based on the Chudnovsky-Chudnovsky multiplication algorithm

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American Mathematical Society (AMS), 2017

Published in: Mathematics of Computation, 86 (2017) 308, Seite 2975-3000
ATIGHEHCHI, KEVIN; BALLET, STÉPHANE; BONNECAZE, ALEXIS; ROLLAND, ROBERT

ARITHMETIC IN FINITE FIELDS BASED ON THE CHUDNOVSKY-CHUDNOVSKY MULTIPLICATION ALGORITHM

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American Mathematical Society, 2017

Published in: Mathematics of Computation, 86 (2017) 308, Seite 2975-3000
Atighehchi, Kévin; Ballet, Stéphane; Bonnecaze, Alexis; Rolland, Robert

Effective arithmetic in finite fields based on Chudnovsky's multiplication algorithm

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Cellule MathDoc/Centre Mersenne, 2016

Published in: Comptes Rendus. Mathématique, 354 (2016) 2, Seite 137-141
Ballet, Stéphane; Pacifico, Bastien

Codes, Cryptology and Information Security: Chudnovsky-Type Algorithms over the Projective Line Using Generalized Evaluation Maps

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Springer Nature Switzerland, 2023

Published in: Codes, Cryptology and Information Security (2023), Seite 360-375
Ballet, Stéphane; Baudru, Nicolas; Bonnecaze, Alexis; Tukumuli, Mila

Construction of asymmetric Chudnovsky-type algorithms for multiplication in finite fields

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Springer Science and Business Media LLC, 2022

Published in: Designs, Codes and Cryptography, 90 (2022) 12, Seite 2783-2811
Ballet, Stéphane; Bonnecaze, Alexis; Dang, Thanh-Hung

Optimization of the scalar complexity of Chudnovsky2 multiplication algorithms in finite fields

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Springer Science and Business Media LLC, 2021

Published in: Cryptography and Communications, 13 (2021) 4, Seite 495-517
Janabi, Ameer; Wang, Bingsen; Czarkowski, Dariusz

Generalized Chudnovsky Algorithm for Real-Time PWM Selective Harmonic Elimination/Modulation: Two-Level VSI Example

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Institute of Electrical and Electronics Engineers (IEEE), 2020

Published in: IEEE Transactions on Power Electronics, 35 (2020) 5, Seite 5437-5446
Ballet, Stéphane; Bonnecaze, Alexis; Dang, Thanh-Hung

Algebraic Informatics: On the Scalar Complexity of Chudnovsky$$^2$$ Multiplication Algorithm in Finite Fields

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Springer International Publishing, 2019

Published in: Algebraic Informatics (2019), Seite 64-75
Ballet, Stéphane; Baudru, Nicolas; Bonnecaze, Alexis; Tukumuli, Mila

On the construction of the asymmetric Chudnovsky multiplication algorithm in finite fields without derivated evaluation

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Cellule MathDoc/Centre Mersenne, 2017

Published in: Comptes Rendus. Mathématique, 355 (2017) 7, Seite 729-733
Ballet, Stéphane; Bonnecaze, Alexis; Pacifico, Bastien

Arithmetic of Finite Fields: Polynomial Constructions of Chudnovsky-type Algorithms for Multiplication in Finite Fields with Linear Bilinear Complexity

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Springer International Publishing, 2023

Published in: Arithmetic of Finite Fields (2023), Seite 35-52
Ballet, Stéphane; Rolland, Robert

Algebraic Informatics: Chaining Multiplications in Finite Fields with Chudnovsky-Type Algorithms and Tensor Rank of the k-Multiplication

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Springer International Publishing, 2022

Published in: Algebraic Informatics (2022), Seite 3-14
Ballet, S.

An improvement of the construction of the D.V. and G.V. Chudnovsky algorithm for multiplication in finite fields

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Elsevier BV, 2006

Published in: Theoretical Computer Science, 352 (2006) 1-3, Seite 293-305

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