Codes, Bent Functions and Permutations Suitable For DES-likeCryptosystems
Designs, Codes and Cryptography
On The Correlation Of Binary M-sequences
Designs, Codes and Cryptography
EUROCRYPT '02 Proceedings of the International Conference on the Theory and Applications of Cryptographic Techniques: Advances in Cryptology
Cryptographic Functions and Design Criteria for Block Ciphers
INDOCRYPT '01 Proceedings of the Second International Conference on Cryptology in India: Progress in Cryptology
Journal of Complexity - Special issue on coding and cryptography
On the Non-linearity of Power Functions
Designs, Codes and Cryptography
Bent functions embedded into the recursive framework of $${\mathbb{Z}}$$ -bent functions
Designs, Codes and Cryptography
Information Sciences: an International Journal
New Sequences with Low Correlation and Large Family Size
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Differential properties of power functions
International Journal of Information and Coding Theory
Crosscorrelation of m-sequences, exponential sums, bent functions and Jacobsthal sums
Cryptography and Communications
New pairs of m-sequences with 4-level cross-correlation
Finite Fields and Their Applications
On three weights in cyclic codes with two zeros
Finite Fields and Their Applications
A Proof of the Welch and Niho Conjectures on Cross-Correlations of Binary m-Sequences
Finite Fields and Their Applications
| Hi-index | 754.84 |
In 1972 Niho gave various conjectures about the crosscorrelation between a binary maximum-length linear shift register sequence and a decimation of that sequence by an integer d. We prove that the crosscorrelation function for two new values of d takes on precisely three values and thereby confirm two of Niho's conjectures