The MAGMA algebra system I: the user language
Journal of Symbolic Computation - Special issue on computational algebra and number theory: proceedings of the first MAGMA conference
Elliptic curves and their applications to cryptography: an introduction
Elliptic curves and their applications to cryptography: an introduction
On Z_4-Linear Goethals Codes and KloostermanSums
Designs, Codes and Cryptography - Special issue on designs and codes—a memorial tribute to Ed Assmus
Elliptic Curve Public Key Cryptosystems
Elliptic Curve Public Key Cryptosystems
Hyperbent Functions, Kloosterman Sums, and Dickson Polynomials
IEEE Transactions on Information Theory
Kloosterman sum identities and low-weight codewords in a cyclic code with two zeros
Finite Fields and Their Applications
Propagation characteristics of x→ x-1 and Kloosterman sums
Finite Fields and Their Applications
On ternary Kloosterman sums modulo 12
Finite Fields and Their Applications
Ternary Kloosterman sums modulo 18 using Stickelberger's theorem
SETA'10 Proceedings of the 6th international conference on Sequences and their applications
Designs, Codes and Cryptography
Permutation polynomials EA-equivalent to the inverse function over GF (2n)
Cryptography and Communications
Binary kloosterman sums with value 4
IMACC'11 Proceedings of the 13th IMA international conference on Cryptography and Coding
On divisibility of exponential sums of polynomials of special type over fields of characteristic 2
Designs, Codes and Cryptography
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We explore the known connection of Kloosterman sums on fields of characteristic 2 and 3 with the number of points on certain elliptic curves over these fields. We use this connection to prove results on the divisibility of Kloosterman sums, and to compute numerical examples of zeros of Kloosterman sums on binary and ternary fields of large orders. We also show that this connection easily yields some formulas due to Carlitz that were recently used to prove certain non-existence results on Kloosterman zeros in subfields.