On the constructions of highly nonlinear zigzag functions and unbiased functions
Information Processing Letters
A Brief Outline of Research on Correlation Immune Functions
ACISP '02 Proceedings of the 7th Australian Conference on Information Security and Privacy
Cheating Immune Secret Sharing
ICICS '01 Proceedings of the Third International Conference on Information and Communications Security
New Results on Correlation Immunity
ICISC '00 Proceedings of the Third International Conference on Information Security and Cryptology
Constructions of Cheating Immune Secret Sharing
ICISC '01 Proceedings of the 4th International Conference Seoul on Information Security and Cryptology
Improved Upper Bound on the Nonlinearity of High Order Correlation Immune Functions
SAC '00 Proceedings of the 7th Annual International Workshop on Selected Areas in Cryptography
Linear Codes in Constructing Resilient Functions with High Nonlinearity
SAC '01 Revised Papers from the 8th Annual International Workshop on Selected Areas in Cryptography
Nonlinear Vector Resilient Functions
CRYPTO '01 Proceedings of the 21st Annual International Cryptology Conference on Advances in Cryptology
On Relationships among Avalanche, Nonlinearity, and Correlation Immunity
ASIACRYPT '00 Proceedings of the 6th International Conference on the Theory and Application of Cryptology and Information Security: Advances in Cryptology
Improved Construction of Nonlinear Resilient S-Boxes
ASIACRYPT '02 Proceedings of the 8th International Conference on the Theory and Application of Cryptology and Information Security: Advances in Cryptology
Connections among nonlinearity, avalanche and correlation immunity
Theoretical Computer Science - Algorithms,automata, complexity and games
On the constructions and nonlinearity of binary vector-output correlation-immune functions
Journal of Complexity - Special issue on coding and cryptography
New construction of resilient functions with satisfying multiple cryptographic criteria
InfoSecu '04 Proceedings of the 3rd international conference on Information security
Highly Nonlinear Resilient Functions Through Disjoint Codes in Projective Spaces
Designs, Codes and Cryptography
Construction of high degree resilient S-boxes with improved nonlinearity
Information Processing Letters
Analysis and construction of correctors
IEEE Transactions on Information Theory
On guess and determine cryptanalysis of LFSR-based stream ciphers
IEEE Transactions on Information Theory
Construction of high degree resilient S-boxes with improved nonlinearity
Information Processing Letters
Constructions of almost resilient functions
CANS'05 Proceedings of the 4th international conference on Cryptology and Network Security
Efficient representation and software implementation of resilient maiorana-mcfarland s-boxes
WISA'04 Proceedings of the 5th international conference on Information Security Applications
On boolean functions with generalized cryptographic properties
INDOCRYPT'04 Proceedings of the 5th international conference on Cryptology in India
Results on almost resilient functions
ACNS'06 Proceedings of the 4th international conference on Applied Cryptography and Network Security
Characterisations of extended resiliency and extended immunity of s-boxes
ICISC'05 Proceedings of the 8th international conference on Information Security and Cryptology
Construction of highly nonlinear resilient S-boxes with given degree
Designs, Codes and Cryptography
A recursive construction of highly nonlinear resilient vectorial functions
Information Sciences: an International Journal
| Hi-index | 754.96 |
This correspondence studies resilient functions which have applications in fault-tolerant distributed computing, quantum cryptographic key distribution, and random sequence generation for stream ciphers. We present a number of new methods for synthesizing resilient functions. An interesting aspect of these methods is that they are applicable both to linear and nonlinear resilient functions. Our second major contribution is to show that every linear resilient function can be transformed into a large number of nonlinear resilient functions with the same parameters. As a result, we obtain resilient functions that are highly nonlinear and have a high algebraic degree