Shimura Modular Curves and Asymptotic Symmetric Tensor Rank of Multiplication in any Finite Field

DOI10.1007/978-3-642-40663-8_16zbMath1318.11162arXiv1304.0043OpenAlexW1604181045MaRDI QIDQ2850012

Stéphane Ballet, Julia Pieltant, Jean Chaumine

Publication date: 20 September 2013

Published in: Algebraic Informatics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.0043

zbMATH Keywords

algorithmfinite fieldShimura curvemodular curvetensor rankalgebraic function fieldtower of function fields

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Finite fields (field-theoretic aspects) (12E20) Arithmetic aspects of modular and Shimura varieties (11G18)

Related Items (8)

Complexity of computation in finite fields ⋮ Rank classification of tensors over ⋮ Canonical forms of order-k(k= 2, 3, 4) symmetric tensors of format 3 × … × 3 over prime fields ⋮ The maximum rank of 2 × ⋯ × 2 tensors over 𝔽₂ ⋮ On the tensor rank of multiplication in finite extensions of finite fields and related issues in algebraic geometry ⋮ New uniform and asymptotic upper bounds on the tensor rank of multiplication in extensions of finite fields ⋮ Unnamed Item ⋮ Construction of asymmetric Chudnovsky-type algorithms for multiplication in finite fields

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