NFC encryption authentication system based on algebraic number theory

By constructing a quadratic algebraic number field and performing public key encryption and decryption through an NFC encryption and authentication system based on algebraic number theory, data transmission and interaction are optimized, solving the security, efficiency and functional scalability problems of traditional NFC systems, and achieving high security, efficient transmission and personalized services.

CN122028052APending Publication Date: 2026-05-12NANTONG UNIV
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Patent Information

Application Number
CN202610364827.3
Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Filing Date
2026-03-24
Publication Date
2026-05-12

AI Technical Summary

Technical Problem

Traditional NFC systems have significant shortcomings in security, transmission efficiency, and functional scalability. They are vulnerable to attacks, have low data transmission rates, and limited application boundaries.

Method used

An NFC encryption authentication system based on algebraic number theory is adopted. By constructing a quadratic algebraic number field, public and private keys are generated for data encryption and decryption. Combined with channel coding, data transmission is optimized to achieve user behavior modeling and personalized interaction.

Benefits of technology

Significantly enhances security, improves transmission efficiency, expands application scenarios, adapts to existing NFC hardware without large-scale modifications, and supports high-definition image transmission and personalized service push.

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Abstract

The invention discloses an NFC encryption authentication system based on an algebraic number theory, and belongs to the technical field of information security. The system comprises an NFC encryption authentication module, a data transmission optimization module and an intelligent interaction expansion module: generating public and private keys based on ideal operation by constructing an algebraic number field and an algebraic integer ring, and mapping NFC data into a ring element sequence to complete encryption and decryption; the transmission efficiency is optimized through number theory channel coding and data grouping, and the stability of big data transmission is improved; intelligent interaction and security enhancement are realized through user behavior modeling and a dynamic one-time key. Based on mathematical problem characteristics of algebraic number theory, attack means such as man-in-the-middle attack and cryptographic analysis are effectively resisted, NFC transmission efficiency and application expansibility are improved, and the method is suitable for scenes such as mobile payment, digital car keys and intelligent access control.
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