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Post-Quantum Cryptosystems: Open Problems and Current Solutions. Isogeny-Based and Code-Based Cryptosystems

  • E. S. Malygina,
  • A. V. Kutsenko,
  • S. A. Novoselov,
  • N. S. Kolesnikov,
  • A. O. Bakharev,
  • I. S. Khilchuk,
  • A. S. Shaporenko,
  • N. N. Tokareva

摘要

Abstract

This paper is a survey of modern post-quantum cryptographic schemes based on codesand isogenies. Special attention is paid to cryptanalysis of these schemes. In particular, forcode-based cryptosystems we describe the information set decoding and the support splittingalgorithm as main attacks, and for cryptosystems based on isogenies we describe in detail theCastryck–Decru attack on SIDH/SIKE.