Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Aspects of Nonabelian Group Based Cryptography: A Survey and Open
  Problems   Most common public key cryptosystems and public key exchange protocols
presently in use, such as the RSA algorithm, Diffie-Hellman, and elliptic curve
methods are number theory based and hence depend on the structure of abelian
groups. The strength of computing machinery has made these techniques
theoretically susceptible to attack and hence recently there has been an active
line of research to develop cryptosystems and key exchange protocols using
noncommutative cryptographic platforms. This line of investigation has been
given the broad title of noncommutative algebraic cryptography. This was
initiated by two public key protocols that used the braid groups, one by Ko,
Lee et.al.and one by Anshel, Anshel and Goldfeld. The study of these protocols
and the group theory surrounding them has had a large effect on research in
infinite group theory. In this paper we survey these noncommutative group based
methods and discuss several ideas in abstract infinite group theory that have
arisen from them. We then present a set of open problems.

29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess