Implicit Certificates Using RLWE for Quantum-Resistant Authentication
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Solution Overview
Problem
Current cryptographic techniques, particularly those relying on asymmetric mathematical problems, may become vulnerable to advances in technology, necessitating the development of stronger cryptographic methods to maintain data security, especially in protecting sensitive information like financial and medical data.
Innovation Solution
The implementation of implicit certificates using Ring Learning With Errors (RLWE) public keys, which are resistant to quantum-based computing attacks, enables secure communication by generating and verifying cryptographic key pairs through a certificate authority, ensuring the authenticity of public keys and verified access to private keys.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If traditional asymmetric cryptographic techniques are used, then current data security requirements are met, but vulnerability to quantum computing attacks increases
Solution Approach 1:
The patent changes the fundamental mathematical parameters underlying cryptographic security from traditional asymmetric problems (factoring, discrete logarithm) to lattice-based problems (Learning With Errors). This parameter transformation provides quantum resistance while maintaining security requirements, directly resolving the contradiction between current security adequacy and quantum vulnerability
2Object-affected harmful factors
If stronger cryptographic techniques are implemented, then quantum resistance is achieved, but computational resource requirements increase
Solution Approach 1:
The patent extracts and eliminates unnecessary computational overhead from traditional certificate structures by using implicit certificates. Instead of full explicit certificates with multiple signature components, the system uses compact implicit certificates that embed only essential verification information, reducing computational and storage resources while maintaining quantum resistance
Solution Approach 2:
The patent inverts the traditional certificate verification approach by using implicit certificates where the verifier can derive public keys and verify signatures with reduced computational effort compared to explicit certificate validation, thereby achieving quantum resistance with lower resource consumption
3Speed
If certificate verification complexity is reduced, then processing speed increases, but security verification thoroughness may decrease
Solution Approach 1:
The patent extracts only the essential verification elements needed for security validation, removing redundant certificate components. The implicit certificate structure contains minimal necessary information for public key derivation and signature verification, enabling fast verification while maintaining thorough security checks through the mathematical properties of lattice-based cryptography
Data Source
AI summary
A first entity and a second entity establish a protected authenticated communication channel using an implicit certificate issued by a certificate authority. In some examples, the implicit certificate is generated based at least in part on the ring learning with errors (“RLWE”) problem. Using the implicit certificate, the first entity and the second entity exchange information that enables the entities to negotiate a shared secret. The shared secret may be used to establish a cryptographically protected communication channel. Successful use of the shared secret authenticates the identity of the first entity and the second entity.