Radix-n Cryptographic Operation for Unpredictable Security
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Solution Overview
Problem
Existing cryptographic methods are susceptible to attacks due to their predictable nature, despite using public and standard procedures that are widely recognized for their security.
Innovation Solution
A cryptographic device that implements an n-state reversible 2 operand function and an n-state 2 operand transition function, generating a cryptographic message through a radix-n operation, which is a non-reversible operation, to enhance security by making attacks harder to succeed.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If standard cryptographic procedures are used, then security protocols are widely recognized and publicly available, but they are susceptible to attacks due to their predictable nature
Solution Approach 1:
The patent modifies standard cryptographic procedures by changing parameters such as using variable radix-n operations instead of fixed binary operations, implementing n-state reversible functions with varying n values, and introducing unpredictable transition functions. These parameter changes make the cryptographic system less predictable while maintaining security protocols, directly resolving the contradiction between reliable security and predictability.
Solution Approach 2:
The patent introduces dynamic elements into cryptographic procedures by using variable radix values, dynamic state transitions, and adaptable n-state functions that can change during operation. This dynamism prevents attackers from predicting cryptographic behavior, thereby reducing predictability while maintaining security reliability.
2Reliability
If cryptographic procedures are modified to be unpredictable, then security against attacks is enhanced, but the procedures deviate from standard methods
Solution Approach 1:
The patent segments cryptographic operations into modular components: radix-n conversion modules, n-state reversible function modules, transition function modules, and cryptographic message generation modules. Each module can be independently configured and modified without affecting the entire system, allowing unpredictable modifications while maintaining compatibility with standard cryptographic frameworks through standardized interfaces.
Solution Approach 2:
The patent designs the cryptographic device with universal capabilities that can perform both standard cryptographic operations and modified unpredictable operations. The system can adapt between different radix values, different n-state functions, and various cryptographic modes, providing versatility that maintains compatibility across different applications while enabling security enhancements through unpredictable modifications.
Data Source
AI summary
A cryptographic computer processes a word of p bits in an electronic message as a set of k n-state elements with n an integer greater than 2 and 2{circumflex over ( )}p>n and k>1, with the p bits being characterized as a word of k n-state elements. The computer processes two words of k n-state elements as an radix-n operation that includes a 2 operand reversible n-state operation of which an output is a residue and a 2 operand n-state transition function of which an output is an n-state transition element. An output of the radix-n operation is a word of k n-state elements. The radix-n operation is preferably not reversible and is part of an operation that generates a cryptographic message. A standard cryptographic operation is modified by applying the radix-n operation. The cryptographic message is transmitted over a physical channel.