English

A simpler strong refutation of random $k$-XOR

Data Structures and Algorithms 2020-08-11 v1

Abstract

Strong refutation of random CSPs is a fundamental question in theoretical computer science that has received particular attention due to the long-standing gap between the information-theoretic limit and the computational limit. This gap is recently bridged by Raghavendra, Rao and Schramm where they study sub-exponential algorithms for the regime between the two limits. In this work, we take a simpler approach to their algorithm and analysis.

Cite

@article{arxiv.2008.03556,
  title  = {A simpler strong refutation of random $k$-XOR},
  author = {Kwangjun Ahn},
  journal= {arXiv preprint arXiv:2008.03556},
  year   = {2020}
}

Comments

16 pages; presented at International Conference on Randomization and Computation (RANDOM) 2020

R2 v1 2026-06-23T17:43:24.839Z