Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Efficient Construction of a Substitution Box Based on a Mordell Elliptic
  Curve Over a Finite Field   Elliptic curve cryptography (ECC) is used in many security systems due to its
small key size and high security as compared to the other cryptosystems. In
many well-known security systems substitution box (S-box) is the only
non-linear component. Recently, it is shown that the security of a cryptosystem
can be improved by using dynamic S-boxes instead of a static S-box. This fact
necessitates the construction of new secure S-boxes. In this paper, we propose
an efficient method for the generation of S-boxes based on a class of Mordell
elliptic curves (MECs) over prime fields by defining different total orders.
The proposed scheme is developed in such a way that for each input it outputs
an S-box in linear time and constant space. Due to this property, our method
takes less time and space as compared to all existing S-box construction
methods over elliptic curve. Furthermore, it is shown by the computational
results that the proposed method is capable of generating cryptographically
strong S-boxes with comparable security to some of the existing S-boxes
constructed over different mathematical structures.

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The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ex