Anshel–Anshel–Goldfeld protocol, also known as a commutator key exchange, is a key-exchange protocol using nonabelian groups. It was invented by Drs. Michael Anshel, Iris Anshel, and Dorian Goldfeld. Unlike other group-based protocols, it does not employ any commuting or commutative subgroups of a given platform group and can use any nonabelian group with efficiently computable normal forms. It is often discussed specifically in application of braid groups, which notably are infinite (and the group elements can take variable quantities of space to represent). The computed shared secret is an element of the group, so in practice this scheme must be accompanied with a sufficiently secure compressive hash function to normalize the group element to a usable bitstring.
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| - Anshel–Anshel–Goldfeld key exchange (en)
- Anshel Anshel Goldfeld (es)
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| - Anshel–Anshel–Goldfeld protocol, also known as a commutator key exchange, is a key-exchange protocol using nonabelian groups. It was invented by Drs. Michael Anshel, Iris Anshel, and Dorian Goldfeld. Unlike other group-based protocols, it does not employ any commuting or commutative subgroups of a given platform group and can use any nonabelian group with efficiently computable normal forms. It is often discussed specifically in application of braid groups, which notably are infinite (and the group elements can take variable quantities of space to represent). The computed shared secret is an element of the group, so in practice this scheme must be accompanied with a sufficiently secure compressive hash function to normalize the group element to a usable bitstring. (en)
- El protocolo de Anshel-Anshel-Goldfeld, también conocido como AAG propuesto por Iris Anshel, Michael Anshel y Dorian Goldfeld, es un protocolo de establecimiento de claves, en el cuál la llave va compartida entre dos partes, por medio de un canal público. A diferencia de otros protocolos basados en grupos, este protocolo no emplea ninguna propiedad de los grupos abelianos, ya que su dificultad radica en resolver ecuaciones sobre estructuras algebraicas para estos grupos particulares, al aplicarlo se consigue ampliar el número de permutaciones posibles para conjugar la clave y el costo computacional del cálculo de la llave se reduce. (es)
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| - Anshel–Anshel–Goldfeld protocol, also known as a commutator key exchange, is a key-exchange protocol using nonabelian groups. It was invented by Drs. Michael Anshel, Iris Anshel, and Dorian Goldfeld. Unlike other group-based protocols, it does not employ any commuting or commutative subgroups of a given platform group and can use any nonabelian group with efficiently computable normal forms. It is often discussed specifically in application of braid groups, which notably are infinite (and the group elements can take variable quantities of space to represent). The computed shared secret is an element of the group, so in practice this scheme must be accompanied with a sufficiently secure compressive hash function to normalize the group element to a usable bitstring. (en)
- El protocolo de Anshel-Anshel-Goldfeld, también conocido como AAG propuesto por Iris Anshel, Michael Anshel y Dorian Goldfeld, es un protocolo de establecimiento de claves, en el cuál la llave va compartida entre dos partes, por medio de un canal público. A diferencia de otros protocolos basados en grupos, este protocolo no emplea ninguna propiedad de los grupos abelianos, ya que su dificultad radica en resolver ecuaciones sobre estructuras algebraicas para estos grupos particulares, al aplicarlo se consigue ampliar el número de permutaciones posibles para conjugar la clave y el costo computacional del cálculo de la llave se reduce. Este protocolo requiere que cada parte realice un cálculo algebraico (varias multiplicaciones seguidas de la reescritura de un monoide), luego los resultados de los cálculos, las llaves se intercambian entre las partes a través de un canal público y cada parte obtiene una clave secreta compartida, después de realizar un segundo cálculo; el segundo cálculo implica un algoritmo para resolver el problema de la palabra en el monoide. (es)
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