Nonlinearly balanced Boolean functions and their propagation characteristics
CRYPTO '93 Proceedings of the 13th annual international cryptology conference on Advances in cryptology
Elliptic Curve Public Key Cryptosystems
Elliptic Curve Public Key Cryptosystems
Maximum Correlation Analysis of Nonlinear S-boxes in Stream Ciphers
CRYPTO '00 Proceedings of the 20th Annual International Cryptology Conference on Advances in Cryptology
On Correlation-Immune Functions
CRYPTO '91 Proceedings of the 11th Annual International Cryptology Conference on Advances in Cryptology
ASIACRYPT '94 Proceedings of the 4th International Conference on the Theory and Applications of Cryptology: Advances in Cryptology
On Cryptographically Secure Vectorial Boolean Functions
ASIACRYPT '99 Proceedings of the International Conference on the Theory and Applications of Cryptology and Information Security: Advances in Cryptology
S-boxes with controllable nonlinearity
EUROCRYPT'99 Proceedings of the 17th international conference on Theory and application of cryptographic techniques
A Brief Outline of Research on Correlation Immune Functions
ACISP '02 Proceedings of the 7th Australian Conference on Information Security and Privacy
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 the link of some semi-bent functions with Kloosterman sums
IWCC'11 Proceedings of the Third international conference on Coding and cryptology
Semi-bent functions with multiple trace terms and hyperelliptic curves
LATINCRYPT'12 Proceedings of the 2nd international conference on Cryptology and Information Security in Latin America
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In this paper, we propose a novel relationship between the correlation of two polynomial-type Boolean functions and the order of an associated algebraic curve. By this relationship, we propose a method to generate a resilient (correlation immune and balanced) function from a cubic polynomial. Since our resilient function is derived from a polynomial over a finite field, its nonlinearity is much easier to control. Moreover we can construct a resilient function with multi-bit outputs. We present several examples of a resilient function with 2 outputs.