In
cryptography
Cryptography, or cryptology (from grc, , translit=kryptós "hidden, secret"; and ''graphein'', "to write", or ''-logia'', "study", respectively), is the practice and study of techniques for secure communication in the presence of adver ...
, a subgroup confinement attack, or small subgroup confinement attack, on a cryptographic method that operates in a large
finite group is where an attacker attempts to compromise the method by forcing a key to be confined to an unexpectedly small
subgroup
In group theory, a branch of mathematics, given a group ''G'' under a binary operation ∗, a subset ''H'' of ''G'' is called a subgroup of ''G'' if ''H'' also forms a group under the operation ∗. More precisely, ''H'' is a subgroup ...
of the desired
group
A group is a number of persons or things that are located, gathered, or classed together.
Groups of people
* Cultural group, a group whose members share the same cultural identity
* Ethnic group, a group whose members share the same ethnic ide ...
.
Several methods have been found to be vulnerable to subgroup confinement attack, including some forms or applications of
Diffie–Hellman key exchange and
DH-EKE.
References
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Cryptographic attacks
Finite groups
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