Affine One-Wayness: Post-Quantum Temporal Verification Primitive → Research

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Briefing

This research introduces Affine One-Wayness (AOW), a novel cryptographic primitive for post-quantum temporal verification based on iterative polynomial evaluation over finite fields. AOW provides robust temporal binding guarantees, reducing its security to the hardness of the discrete logarithm problem in high-genus hyperelliptic curves and the Affine Iterated Inversion Problem. The construction features a transparent setup and formal security proofs against both classical and quantum adversaries, enabling practical applications in Byzantine-resistant event ordering and distributed synchronization.

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Context

Distributed systems fundamentally require robust and transparent mechanisms for verifiable temporal ordering, traditionally relying on trusted authorities or synchronized clocks. The advent of quantum computing poses a significant threat to existing cryptographic foundations, necessitating new primitives that can provide provable security against both classical and quantum adversaries while ensuring temporal integrity in a trustless environment.

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Analysis

The core mechanism of Affine One-Wayness (AOW) is its reliance on iterative polynomial evaluation over finite fields to establish temporal binding. This primitive reduces its security to the computationally hard discrete logarithm problem in high-genus hyperelliptic curves (HCDLP) and the Affine Iterated Inversion Problem (AIIP), which draws from multivariate quadratic algebra and hyperelliptic curve arithmetic. The construction is designed with a transparent setup, eliminating trusted third parties, and integrates efficiently with STARK proof systems for zero-knowledge verification of sequential computation, achieving logarithmic scaling. This approach fundamentally differs by offering a post-quantum secure primitive for temporal verification, moving beyond pre-quantum assumptions.

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Parameters

Core Concept → Affine One-Wayness (AOW)
Problem Addressed → Post-quantum temporal verification in distributed systems
Key Mechanism → Iterative polynomial evaluation over finite fields
Security Reduction → Hardness of Discrete Logarithm Problem in high-genus hyperelliptic curves (HCDLP) and Affine Iterated Inversion Problem (AIIP)
Integration → STARK proof systems for zero-knowledge verification
Applications → Byzantine-resistant event ordering, distributed synchronization
Key Author → MINKA MI NGUIDJOI Thierry Emmanuel
Publication Date → September 17, 2025

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Outlook

The development of Affine One-Wayness (AOW) opens new research avenues in post-quantum cryptography and its application to decentralized systems. Future work will likely involve further optimizing its integration with various zero-knowledge proof systems and exploring its deployment in real-world blockchain architectures to enhance verifiable event ordering and secure distributed synchronization against quantum threats. This primitive lays a crucial groundwork for building resilient and trustless temporal verification mechanisms for the quantum era.

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Verdict

Affine One-Wayness establishes a critical post-quantum cryptographic primitive, fundamentally advancing the security and verifiability of temporal ordering in future decentralized architectures.

Signal Acquired from → iacr.org