Device for Verifying a Quality and for Generating a Group of Rational Points of a Key Generation Variety

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This invention is a device and method for examining the quality and generating groups of rational points on algebraic structures used in cryptography, such as Jacobians of hyperelliptic curves and elliptic curves over finite fields. These structures are crucial for secure key generation in cryptographic systems.

Use CasesContent extracted from patent full text and abstract with AI.

• Generation of secure cryptographic keys for encrypted communication
• Validation and assessment of cryptographic algorithms based on algebraic curves
• Implementation in security chips or hardware devices requiring strong cryptography
• Research and development for new cryptographic protocols based on elliptic and hyperelliptic curves

BenefitsContent extracted from patent full text and abstract with AI.

• Enhances the security of cryptographic key generation by thorough validation of algebraic structures
• Provides a systematic method to generate reliable rational points for use in encryption systems
• Supports the development of efficient and secure cryptographic algorithms
• Can be integrated into various hardware and software security solutions

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Patent Abstract

The device (100) has a unit (110) for determining an arrangement of a group of rational points of a Jacobian variable. Another unit (120) for determining an arrangement of a group of rational points of an elliptical curve over the finite body. The elliptical curve is that curve, which carries fixed body of involution of a hyperelliptic curve, which is formed from a morphism (f) that belongs to the involution. An independent claim is also included for a method for checking a performance of a group of rational point of a key generation variable.