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AES
2004
Springer

General Principles of Algebraic Attacks and New Design Criteria for Cipher Components

10 years 9 months ago
General Principles of Algebraic Attacks and New Design Criteria for Cipher Components
This paper is about the design of multivariate public key schemes, as well as block and stream ciphers, in relation to recent attacks that exploit various types of multivariate algebraic relations. We survey these attacks focusing on their common fundamental principles and on how to avoid them. From this we derive new very general design criteria, applicable for very different cryptographic components. These amount to avoiding (if possible) the existence of, in some sense “too simple” algebraic relations. Though many ciphers that do not satisfy this new paradigm probably still remain secure, the design of ciphers will never be the same again. Key Words: algebraic attacks, polynomial relations, multivariate equations, finite fields, design of cryptographic primitives, generalised linear cryptanalysis, multivariate public key encryption and signature schemes, HFE, Quartz, Sflash, stream ciphers, Boolean functions, combiners with memory, block ciphers, AES, Rijndael, Serpent, elim...
Nicolas Courtois
Added 30 Jun 2010
Updated 30 Jun 2010
Type Conference
Year 2004
Where AES
Authors Nicolas Courtois
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