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Good Locally Testable Codes

Information Theory 2022-07-26 v1 Combinatorics Group Theory math.IT

Abstract

An explicit construction of locally testable codes of constant rate, constant distance and constant number of queries is given. Hence answering affirmatively the c3c^3-problem.

Keywords

Cite

@article{arxiv.2207.11929,
  title  = {Good Locally Testable Codes},
  author = {Irit Dinur and Shai Evra and Ron Livne and Alexander Lubotzky and Shahar Mozes},
  journal= {arXiv preprint arXiv:2207.11929},
  year   = {2022}
}

Comments

This is a revision of arxiv.org/2111.04808 that has been adapted to a mathematical audience

R2 v1 2026-06-25T01:11:29.175Z