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Semidefinite programming bounds for error-correcting codes

Information Theory 2021-04-27 v1 math.IT Optimization and Control

Abstract

This chapter is written for the forthcoming book "A Concise Encyclopedia of Coding Theory" (CRC press), edited by W. Cary Huffman, Jon-Lark Kim, and Patrick Sol\'e. This book will collect short but foundational articles, emphasizing definitions, examples, exhaustive references, and basic facts on the model of the Handbook of Finite Fields. The target audience of the Encyclopedia is upper level undergraduates and graduate students.

Cite

@article{arxiv.1902.01253,
  title  = {Semidefinite programming bounds for error-correcting codes},
  author = {Frank Vallentin},
  journal= {arXiv preprint arXiv:1902.01253},
  year   = {2021}
}

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17 pages