Abstract <p>Approaches for constructing postquantum electronic signature schemes are studied. Modern methods for improving the security of protocols based on elliptic curve isogenies are analyzed. A multisignature scheme based on the problem of finding isogenies between supersingular curves with participant authentication is proposed. The effectiveness and safety of the proposed scheme are proved.</p>

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Multisignature on Isogenies of Elliptic Curves with Participant Masking and Authentication

  • E. B. Aleksandrova,
  • S. O. Kostin

摘要

Abstract

Approaches for constructing postquantum electronic signature schemes are studied. Modern methods for improving the security of protocols based on elliptic curve isogenies are analyzed. A multisignature scheme based on the problem of finding isogenies between supersingular curves with participant authentication is proposed. The effectiveness and safety of the proposed scheme are proved.