克利福德代数校准后量子密码学
Clifford Algebra Calibration Post-Quantum Cryptography
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中文总结 AI 辅助
该研究基于克利福德代数的广义校准，提出一种可实现双锁秘密传递的后量子密码学候选方案，需探究其能否生成安全密码系统。
中文摘要 AI 辅助
双锁场景可在无需预先交换私钥/公钥等秘密的情况下，实现秘密在两人间传递，这可通过克利福德代数中广义校准的旋转来实现。校准映射到凯莱-迪克森代数，对其进行推广可为密码系统所需的巨大代码空间提供数学结构。该系统使用克利福德代数和准代数的理想，这些理想有时嵌入凯莱-迪克森代数，使其成为后量子密码学的候选方案。本手稿提出的挑战在于，探究广义校准的新数学能否生成安全的密码系统。
英文摘要
The double lock scenario allows a secret to be transferred from one person to another without having previously exchanged secrets such as private/public keys. This can be realised by rotations of generalised calibrations in Clifford algebra. Calibrations map to Cayley-Dickson algebras and generalising this provides the mathematical structure enabling the enormous code space needed for a cryptosystem. Commuting rotations in large dimensional spaces are used but the complexity comes from the message being embedded in generalised calibrations. This system uses ideals of Clifford algebras and quasi-algebras that are sometimes embedded in Cayley-Dickson algebras making it a candidate for post-quantum cryptography. Understanding whether the new mathematics of generalised calibrations can produce a secure cryptosystem is the challenge presented in this manuscript.
