This book constitutes the thoroughly refereed post-workshop proceedings of the 8th International Workshop on the Arithmetic of Finite Field, WAIFI 2022, held in Chengdu, China, in August - September 2022.
The 19 revised full papers and 3 invited talks presented were carefully reviewed and selected from 25 submissions. The papers are organized in topical sections: structures in finite fields; efficient finite field arithmetic; coding theory; cryptography; sequences.
Inhaltsverzeichnis
Structures in Finite Fields. -
On a conjecture on irreducible polynomials over finite fields with restricted coefficients. - On two applications of polynomials xk cx d over finite fields and more. -
Efficient Finite Field Arithmetic. -
Polynomial Constructions of Chudnovsky-Type Algorithms for Multiplication in Finite Fields with Linear Bilinear Complexity. - Reduction-free Multiplication for Finite Fields and Polynomial Rings. - Finite Field Arithmetic in Large Characteristic for Classical and Post-Quantum Cryptography. - Fast enumeration of superspecial hyperelliptic curves of genus 4 with automorphism group V4. -
Coding theory. -
Two Classes of Constacyclic Codes with Variable Parameters. - Near MDS Codes with Dimension 4 and Their Application in Locally Recoverable Codes. - Optimal possibly nonlinear 3-PIR codes of small size. - PIR codes from combinatorial structures. - The Projective General Linear Group PGL(2, 5m) and Linear Codes of Length 5m + 1. - Private Information Retrieval Schemes Using Cyclic Codes. - Two Classes of Optimal Few-Weight Codes over Fq + uFq. - Explicit Non-Malleable Codes from Bipartite Graphs. -
Cryptography. -
Algebraic Relation of Three MinRank Algebraic Modelings. - Decomposition of Dillon' s APN permutation with efficient hardware implementation. - New Versions of Miller-loop Secured against Side-Channel Attacks. - A Class of Power Mappings with Low Boomerang Uniformity. - New Classes of Bent Functions via the Switching Method. -
Sequences. -
Correlation measure of binary sequence families with trace representation. - Linear complexity of generalized cyclotomic sequences with period pnqm. - On the 2-adic complexity of cyclotomic binary sequences with period p2 and 2p2.
