We demonstrate an efficient method for computing a Gröbner basis of a zero-dimensional ideal describing the key-recovery problem from a single plaintext/ciphertext pair for the full AES-128. This Gröbner basis is relative to a degree-lexicographical order. We investigate whether the existence of this Gröbner basis has any security implications for the AES
Title: Applications of Gröbner bases in cryptography Author: Aleš Fuchs Department: Department of Al...
A basis for an ideal is such that every element in the ideal can be expressed as a linear combinatio...
Abstract. While the symmetric-key cryptography community has now a good experience on how to build a...
Abstract. We demonstrate an efficient method for computing a Gröbner basis of a zero-dimensional id...
The zero-dimensional Gröbner basis construction is a crucial step in Gröbner basis cryptanalysis on ...
This thesis is a contribution to the field of algebraic cryptanalysis. Specifically the following to...
Abstract. We construct and analyze Feistel and SPN ciphers that have a sound design strategy against...
AbstractWe present an efficient algorithm for the transformation of a Gröbner basis of a zero-dimens...
AbstractThe combinatorics of reduced Gröbner bases of certain zero-dimensional ideals, which arise w...
This thesis investigates the application of Groebner bases to cryptanalysis of block ciphers. The ba...
This paper introduces a new efficient algorithm, called MXL3, for computing Gröbner bases of zero-di...
The related-key model is now considered an important scenario for block cipher security and many sch...
AbstractWe construct an explicit minimal strong Gröbner basis of the ideal of vanishing polynomials ...
Abstract. This paper introduces a new efficient algorithm, called MXL3, for computing Gröbner bases...
International audienceIn this paper, we give first some non-trivial improvements of the well-known b...
Title: Applications of Gröbner bases in cryptography Author: Aleš Fuchs Department: Department of Al...
A basis for an ideal is such that every element in the ideal can be expressed as a linear combinatio...
Abstract. While the symmetric-key cryptography community has now a good experience on how to build a...
Abstract. We demonstrate an efficient method for computing a Gröbner basis of a zero-dimensional id...
The zero-dimensional Gröbner basis construction is a crucial step in Gröbner basis cryptanalysis on ...
This thesis is a contribution to the field of algebraic cryptanalysis. Specifically the following to...
Abstract. We construct and analyze Feistel and SPN ciphers that have a sound design strategy against...
AbstractWe present an efficient algorithm for the transformation of a Gröbner basis of a zero-dimens...
AbstractThe combinatorics of reduced Gröbner bases of certain zero-dimensional ideals, which arise w...
This thesis investigates the application of Groebner bases to cryptanalysis of block ciphers. The ba...
This paper introduces a new efficient algorithm, called MXL3, for computing Gröbner bases of zero-di...
The related-key model is now considered an important scenario for block cipher security and many sch...
AbstractWe construct an explicit minimal strong Gröbner basis of the ideal of vanishing polynomials ...
Abstract. This paper introduces a new efficient algorithm, called MXL3, for computing Gröbner bases...
International audienceIn this paper, we give first some non-trivial improvements of the well-known b...
Title: Applications of Gröbner bases in cryptography Author: Aleš Fuchs Department: Department of Al...
A basis for an ideal is such that every element in the ideal can be expressed as a linear combinatio...
Abstract. While the symmetric-key cryptography community has now a good experience on how to build a...
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