Overview

This book constitutes the refereed proceedings of the 11th International Workshop on Arithmetic of Finite Fields, WAIFI 2026, held in Santander, Spain, during June 3–5, 2026. The 21 full papers and 3 Invited papers  included in this book were carefully reviewed and selected from 31 submissions. They were organized in topical sections as follows: Invited talks; Coding Theory and Related Structures; Cryptography and Boolean Functions; Finite Field Arithmetic, Algorithms, and Implementations; and Combinatorics, Curves, and Dynamical Structures.

Full Product Details

Author:   Lejla Batina ,  Ferruh Özbudak
Publisher:   Springer Nature Switzerland AG
Imprint:   Springer Nature Switzerland AG
ISBN:  

9783032275738

ISBN 10:   3032275733
Pages:   400
Publication Date:   01 June 2026
Audience:   Professional and scholarly ,  College/higher education ,  Professional & Vocational ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   Not yet available  
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Table of Contents

.- Invited Talks. .- New invariants for rank metric codes, with applications to the classification of rank two semifields of order. .- A Survey on Code Equivalence: The State-of-the-Art and Open Questions. .- Eidolon: A Post-Quantum Signature Scheme Based on k-Colorability in the Age of Graph Neural Networks. .- Coding Theory and Related Structures. .- Output feedback transformations for preserving observability and structural decodability in convolutional codes. .- The Non-Asymptotic Landscape of Abelian Codes: A Framework for (F,G) Goodness. .- Algebraic geometry codes with many automorphisms arising from Galois points. .- Classification of Hermitian-relative curves up to projective equivalence. .- Improvements to Jacobian Arithmetic in Global Function Fields. .- On Secret Sharing from Extended Norm-Trace Curves. .- Self-Orthogonal Codes from p-ary Quadratic Forms via Character Sums with Applications to LCD and Arbitrary Hull Dimensional Codes. .- Cryptography and Boolean Functions. .- On the (Non-)Existence of Efficient Class Group Orbits for Collision Search in CSIDH. .- A new construction of locally-APN functions on F_2^{2m} using spreads and Sidon sets. .- On the Resilience Order of Weightwise Almost Perfectly Balanced Functions. .- A notion on S-boxes for a partial resistance to some integral attacks. .- Boolean Arithmetic over F_2 from Group Commutators. .- Finite Field Arithmetic, Algorithms, and Implementations. .- Equality Tests in the Polynomial Modular Number System. .- Period Counting versus Direct Sampling in Oscillator-based TRNGs: Architectures and Characteristics. .- On the Feasibility of 256-bit Prime Field Arithmetic via PMNS on 8-bit  Architectures. .- Fast and Energy-Efficient Polynomial Multiplication using FFT, FFNT, and NTT on GPUs for Fully Homomorphic Encryption. .- From Compact to Fast: Exploring 32- and 64-Bit AES Datapaths for IoT Systems. .- Combinatorics, Curves, and Dynamical Structures. .- Constructing a parameterized polynomial map through functional graphs and applications. .- Codegrees and an Exact Triangle Formula for the Norm-One Cayley Graph over F_{q^3} in Characteristics. .- Explicit Bounds on the Existence Probability of Random Multivariate Quadratic Systems over Finite Fields. .- Automorphism groups of hyperelliptic curves of 2-rank zero.

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