Rethinking low genus hyperelliptic Jacobian arithmetic over binary fields: Interplay of field arithmetic and explicit formulæ

Computer Science

• Elliptic Curve 100%
• Jacobian matrix 100%
• Memory Requirement 50%
• Performance Test 50%
• Personal Computer 50%
• Discrete Logarithm 50%
• Fair Comparison 50%
• Cryptography 50%
• Software Library 50%

Mathematics

• Elliptic Curve 100%
• Binary Field 100%
• Minimizes 50%
• Discrete Logarithm 50%
• Fair Comparison 50%
• Cofactor 50%
• Cryptography 50%

Keyphrases

• Genus Four 50%