Abstract: Establishing a secure communication of Internet
conferences for participants is very important. Before starting the
conference, all the participants establish a common conference key to
encrypt/decrypt communicated messages. It enables participants to
exchange the secure messages. Nevertheless, in the conference, if
there are any malicious participants who may try to upset the key
generation process causing other legal participants to obtain a different
conference key. In this article, we propose an improved conference
key agreement with fault-tolerant capability. The proposed scheme
can filter malicious participants at the beginning of the conference to
ensure that all participants obtain the same conference key. Compare
with other schemes, our scheme is more secure and efficient than
others.
Abstract: This paper is introduced a modification to Diffie-
Hellman protocol to be applicable on the decimal numbers, which
they are the numbers between zero and one. For this purpose we
extend the theory of the congruence. The new congruence is over
the set of the real numbers and it is called the “real congruence"
or the “real modulus". We will refer to the existing congruence by
the “integer congruence" or the “integer modulus". This extension
will define new terms and redefine the existing terms. As the
properties and the theorems of the integer modulus are extended as
well. Modified Diffie-Hellman key exchange protocol is produced a
sharing, secure and decimal secret key for the the cryptosystems that
depend on decimal numbers.