Codes, Bent Functions and Permutations Suitable For DES-likeCryptosystems
Designs, Codes and Cryptography
Multiplicative Difference Sets via Additive Characters
Designs, Codes and Cryptography - Special issue on designs and codes—a memorial tribute to Ed Assmus
Hyperplane Sections of Fermat Varieties in P3 in Char.2 and Some Applications to Cyclic Codes
AAECC-10 Proceedings of the 10th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
Almost perfect nonlinear power functions on GF(2n): the Welch case
IEEE Transactions on Information Theory
Binary m-sequences with three-valued crosscorrelation: a proof of Welch's conjecture
IEEE Transactions on Information Theory
A Proof of the Welch and Niho Conjectures on Cross-Correlations of Binary m-Sequences
Finite Fields and Their Applications
Codes, Bent Functions and Permutations Suitable For DES-likeCryptosystems
Designs, Codes and Cryptography
Maximally Nonlinear Functions and Bent Functions
Designs, Codes and Cryptography - Special issue on designs and codes—a memorial tribute to Ed Assmus
Multiplicative Difference Sets via Additive Characters
Designs, Codes and Cryptography - Special issue on designs and codes—a memorial tribute to Ed Assmus
A New Family of Cyclic Difference Sets with Singer Parameters in Characteristic Three
Designs, Codes and Cryptography
On the Non-linearity of Power Functions
Designs, Codes and Cryptography
A family of m-sequences with five-valued cross correlation
IEEE Transactions on Information Theory
Further results on m-sequences with five-valued cross correlation
IEEE Transactions on Information Theory
Determining the nonlinearity of a new family of APN functions
AAECC'07 Proceedings of the 17th international conference on Applied algebra, algebraic algorithms and error-correcting codes
On the Walsh spectrum of a new APN function
Cryptography and Coding'07 Proceedings of the 11th IMA international conference on Cryptography and coding
Near bent functions on a hyperplane
Finite Fields and Their Applications
The weight distribution of a class of p-ary cyclic codes
Finite Fields and Their Applications
New cyclic difference sets with Singer parameters
Finite Fields and Their Applications
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We give a short direct prooffor a famous theorem published by Kasami in 1971. In terms ofWalsh analysis it states that for d = 2^{2k}-2^k+1the Walsh spectrum of the Boolean function \T(x^d)on \G{2^n} consists precisely of the three values 0,\pm 2^{(n+s)/2} if s = \gcd(k,n) = \gcd(2k,n).