Codes, Bent Functions and Permutations Suitable For DES-likeCryptosystems
Designs, Codes and Cryptography
On the Minimum Distances of Non-Binary Cyclic Codes
Designs, Codes and Cryptography - Special issue on designs and codes—a memorial tribute to Ed Assmus
Algorithms for exponentiation in finite fields
Journal of Symbolic Computation
Handbook of Applied Cryptography
Handbook of Applied Cryptography
Shift Register Sequences
Exponentiation in Finite Fields: Theory and Practice
AAECC-12 Proceedings of the 12th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
Fast Key Exchange with Elliptic Curve Systems
CRYPTO '95 Proceedings of the 15th Annual International Cryptology Conference on Advances in Cryptology
New families of almost perfect nonlinear power mappings
IEEE Transactions on Information Theory
Periodic binary sequences with the "trinomial property"
IEEE Transactions on Information Theory
Irreducible Quadratic Factors of x(qn+1)/2+ax+bover Fq
Finite Fields and Their Applications
Factorization of Trinomials over Galois Fields of Characteristic 2
Finite Fields and Their Applications
Orthogonal Arrays, Primitive Trinomials, and Shift-Register Sequences
Finite Fields and Their Applications
Division of trinomials by pentanomials and orthogonal arrays
Designs, Codes and Cryptography
A Twin for Euler's φ Function in $\mathbb{F}_2[X]$
WAIFI '07 Proceedings of the 1st international workshop on Arithmetic of Finite Fields
Reduction Optimal Trinomials for Efficient Software Implementation of the ηT Pairing
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Random number generators with period divisible by a Mersenne prime
ICCSA'03 Proceedings of the 2003 international conference on Computational science and its applications: PartI
Reduction optimal trinomials for efficient software implementation of the ηT pairing
IWSEC'07 Proceedings of the Security 2nd international conference on Advances in information and computer security
Swan-like results for binomials and trinomials over finite fields of odd characteristic
Designs, Codes and Cryptography
On the distribution of irreducible trinomials over F3
Finite Fields and Their Applications
Parity of the number of irreducible factors for composite polynomials
Finite Fields and Their Applications
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A necessary condition for irreducibility of a trinomial over a finite field, based on classical results of Stickelberger and Swan, is established. It is applied in the special case F3, and some experimental discoveries are reported.