Information Security and Cryptology
ASIACRYPT '08 Proceedings of the 14th International Conference on the Theory and Application of Cryptology and Information Security: Advances in Cryptology
A class of Boolean functions with four-valued Walsh spectra
APCC'09 Proceedings of the 15th Asia-Pacific conference on Communications
Designs, Codes and Cryptography
IEEE Transactions on Information Theory
Designs, Codes and Cryptography
Results on the immunity of Boolean functions against probabilistic algebraic attacks
ACISP'11 Proceedings of the 16th Australasian conference on Information security and privacy
Boolean functions optimizing most of the cryptographic criteria
Discrete Applied Mathematics
Constructions of 1-resilient Boolean functions on odd number of variables with a high nonlinearity
Security and Communication Networks
Perfect algebraic immune functions
ASIACRYPT'12 Proceedings of the 18th international conference on The Theory and Application of Cryptology and Information Security
Designs, Codes and Cryptography
A new method to construct Boolean functions with good cryptographic properties
Information Processing Letters
Secondary constructions of Boolean functions with maximum algebraic immunity
Cryptography and Communications
On the immunity of rotation symmetric Boolean functions against fast algebraic attacks
Discrete Applied Mathematics
| Hi-index | 754.90 |
In this correspondence, we introduce a method to construct Boolean functions in any number of variables, with optimal algebraic immunity. Remarkably, all functions of this type with an odd number of variables can be obtained in this way. We study some cryptographic properties, such as balancedness, algebraic degree of the constructed functions. Moreover, a lower bound of the number of Boolean functions with optimal algebraic immunity is given.