Tensile Sphere Symmetric Cryptography for Quantum-Resistant Exchange

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Solution Overview

Problem

Existing public-key (PKI) cryptography systems, including elliptic curve cryptography, are vulnerable to quantum computing due to algorithms like Shor's algorithm, which can factor large integers and compute discrete logarithms, compromising security.

Innovation Solution

Implementing symmetric cryptography using tensile spheres, where two overlapping spheres create a common circle, determining angles and multiplicands through a modulo function, and applying these to encrypt and decrypt data, ensuring secure and anonymous data exchange between parties.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Reliability

If public-key cryptography (RSA or elliptic curve) is used to provide security, then security level is improved, but vulnerability to quantum computing attacks increases

Engineering Contradiction:

Improvesecurity levelVSAvoidquantum computing vulnerability

Core Design Contradiction:

ReliabilityVSObject-affected harmful factors

Solution Approach 1:

The patent transitions from asymmetric cryptography parameters (public/private key pairs based on mathematical problems) to symmetric cryptography parameters (shared secret keys), fundamentally changing the cryptographic parameter space to achieve quantum resistance while maintaining security

Inventive Principle:

Principle #35Parameter changes

Solution Approach 2:

The patent replaces the mathematical problem-based cryptographic mechanism (factoring, discrete logarithms) with a geometric-based mechanism (tensile spheres, circles, angles, and intersections) that is not vulnerable to quantum algorithms like Shor's algorithm

Inventive Principle:

Principle #28Mechanics substitution (Replace mechanical system)

2Quantity of substance

If elliptic curve cryptography is used to reduce key size, then storage and transmission requirements are reduced, but security against quantum attacks is compromised

Engineering Contradiction:

Improvekey sizeVSAvoidquantum computing vulnerability

Core Design Contradiction:

Quantity of substanceVSObject-affected harmful factors

Solution Approach 1:

The patent changes the cryptographic paradigm from asymmetric to symmetric, allowing for smaller key sizes comparable to elliptic curve cryptography while achieving quantum resistance through the tensile sphere geometric construction

Inventive Principle:

Principle #35Parameter changes

Solution Approach 2:

The patent introduces tensile spheres and their geometric intersections as intermediary structures that enable secure key derivation without requiring large key sizes, using the physical geometry of sphere intersections to generate shared secrets

Inventive Principle:

Principle #24Intermediary (Mediator)

3Productivity

If symmetric cryptography is implemented using traditional methods, then computational speed is improved, but security against quantum attacks deteriorates

Engineering Contradiction:

Improvecomputational speedVSAvoidquantum resistance

Core Design Contradiction:

ProductivityVSReliability

Solution Approach 1:

The patent replaces traditional symmetric cryptography mathematical operations with geometric operations based on tensile sphere intersections, maintaining computational efficiency while achieving quantum resistance through the novel geometric construction

Inventive Principle:

Principle #28Mechanics substitution (Replace mechanical system)

Data Source

PatentUS12580763B2Use of tensile spheres for extended symmetric cryptography

Publication Date: 2026.03.17 INTERNATIONAL BUSINESS MACHINE CORPORATION

AI summary

A computer-implemented method includes generating two tensile circles based on a common circle created by overlapping two tensile spheres. An angle is determined using a modulo function and a predefined value. The angle is applied to both tensile circles. Next, multiplicands are determined for both tensile circles based on the angle applied to both tensile circles. The method then encrypts and/or decrypts data using a symmetric cryptography technique and the multiplicands.