Huff-Edwards Hybrid Encryption for Quantum-Resistant Key Exchange

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Solution Overview

Problem

Existing encryption technologies face challenges in maintaining secure digital communication, especially with the emergence of quantum computers, and there is a need for improved encryption methods that can withstand quantum attacks while optimizing encryption operations.

Innovation Solution

A Huff-Edwards hybrid model is employed, combining operations on both Huff and Edwards curves to optimize encryption by setting specific parameters, calculating public keys, and establishing secure communication using isogeny operations and square-root Velu formulas.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Reliability

If traditional encryption methods are used, then current security standards are met, but security against quantum computer attacks is insufficient

Engineering Contradiction:
Improvesecurity against quantum attacksVSAvoidencryption system complexity
Core Design Contradiction:
ReliabilityVSDevice complexity

Solution Approach 1:

The patent employs a hybrid encryption system that combines two different elliptic curve cryptographic approaches (supersingular isogeny-based cryptography and Edwards curve cryptography) into a unified framework. This composite approach leverages the security strengths of both methods against quantum attacks while maintaining operational compatibility with existing cryptographic infrastructure, thereby achieving quantum-resistant security without requiring complete system replacement

Inventive Principle:
Principle #40Composite materials

2Reliability

If encryption security is enhanced to resist quantum attacks, then security level improves, but encryption operation complexity increases

Engineering Contradiction:
Improveencryption securityVSAvoidoperation complexity
Core Design Contradiction:
ReliabilityVSDevice complexity

Solution Approach 1:

The patent divides the encryption operation into distinct modular components: parameter setting module, public key calculation module, coefficient recovery module, and shared secret calculation module. Each module handles a specific aspect of the cryptographic operation, allowing for independent optimization and simplifying the overall complex quantum-resistant encryption process into manageable, reusable components

Inventive Principle:
Principle #1Segmentation

3Reliability

If quantum-resistant encryption is implemented, then future security is ensured, but current encryption speed may be reduced

Engineering Contradiction:
Improvefuture securityVSAvoidencryption speed
Core Design Contradiction:
ReliabilityVSProductivity

Solution Approach 1:

The patent utilizes specific mathematical parameter choices in the Huff curve representation (including the prime number form p = 4·l1·l2·...·ln−1 where li are odd primes) and the structured approach to isogeny computation that optimize computational efficiency. These parameter selections reduce the computational complexity of quantum-resistant operations, improving encryption speed while maintaining the security guarantees required for future quantum threat resistance

Inventive Principle:
Principle #35Parameter changes

Data Source

PatentUS20260039465A1Encryption system and method using huff-edwards hybrid model
Publication Date: 2026.02.05 SAMSUNG ELECTRONICS CO LTD
  • US20260039465A1 patent drawing
  • US20260039465A1 patent drawing
  • US20260039465A1 patent drawing

AI summary

According to an aspect of the present disclosure, an first encryption device using a Huff-Edwards hybrid model includes one or more processors including processing circuitry, and memory storing instructions. The instructions, when executed by the one or more processors individually or collectively, cause the first encryption device to set a plurality of encryption parameters including an elliptic curve and a prime number, calculate a first public key to be shared with a second encryption device based on a secret key, recover a coefficient of a second public key received from the second encryption device, calculate a shared secret curve based on the secret key and the second public key, and establish secure communication between the first encryption device and the second encryption device, based on the first public key and the second public key.