A note on using finite non-abelian p-groups in the MOR cryptosystem
نویسنده
چکیده
The MOR cryptosystem [9] is a natural generalization of the El-Gamal cryptosystem to non-abelian groups. Using a p-group, a cryptosystem was built in [4]. It seems resoanable to assume the cryptosystem is as secure as the El-Gamal cryptosystem over finite fields. A natural question arises can one make a better cryptosystem using p-groups? In this paper we show that the answer is no.
منابع مشابه
A Simple Generalization of the Elgamal Cryptosystem to Non-abelian Groups
In this article we study the MOR cryptosystem. We use the group of unitriangular matrices over a finite field as the non-abelian group in the MOR cryptosystem. We show that a cryptosystem similar to the ElGamal cryptosystem over finite fields can be built using the proposed groups and a set of automorphisms of these groups. We also show that the security of this proposed MOR cryptosystem is equ...
متن کاملA simple generalization of El-Gamal cryptosystem to non-abelian groups
In this paper we study the MOR cryptosystem. We use the group of unitriangular matrices over a finite field as the non-abelian group in the MOR cryptosystem. We show that a cryptosystem similar to the El-Gamal cryptosystem over finite fields can be built using the proposed groups and a set of automorphisms of these groups. We also show that the security of this proposed MOR cryptosystem is equi...
متن کاملDesign und Analyse kryptografischer Bausteine auf nicht-abelschen Gruppen
English Abstract Public-key cryptography enables two (or more) parties to execute cryptographic protocols (e.g. to send confidential messages) without requiring a common secret. The methods in use today are mostly based on abelian groups (see [35] for example). Recently, several cryptographic protocols using non-abelian groups were proposed [23, 42]. The underlying security assumption on which ...
متن کاملMOR Cryptosystem and classical Chevalley groups in odd characteristic
In this paper we study the MOR cryptosystem with finite Chevalley groups. There are four infinite families of finite classical Chevalley groups. These are: special linear groups SL(d, q), orthogonal groups O(d, q) and symplectic groups Sp(d, q). The family O(d, q) splits to two different families of Chevalley groups depending on the parity of d. The MOR cryptosystem over SL(d, q) was studied by...
متن کاملSecurity Analysis of the MOR Cryptosystem
The paper cryptanalyses a new public key cryptosystem that has been recently proposed by Paeng, Ha, Kim, Chee and Park [5]. The scheme works on finite non-abelian groups. We focus on the group SL(2, ZZp)×θ ZZp which was discussed in [5] extensively.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- CoRR
دوره abs/cs/0702095 شماره
صفحات -
تاریخ انتشار 2007