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.

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.