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Due to the popularity of hackers in Internet, secrecy preservation is one of the most acceptable in the related works in interconnections of Internets. While secrecy is required, a lot of many cryptosystems have been allocated to hold the function of secrecy. Some examples like RSA or ElGamal cryptosystems have been used to keep secrecy from illegal displacement . Since 1995, Elliptic Curve cryptosystem(ECC) has been studied to reveal the applicability in signatures, it may have been found to find signatures with new scheme. ECC is a new scheme for signatures with some irrelative derivation which is viewed to be a discrete logarithm problems, some applications based on ECC have been developed. Signatures with ECC are the primary derivations; message with ECC signatures are the secondary directions. In this paper, we present a group-oriented(t,n)threshold digital signature scheme based on the difficulty of solving the elliptic curve discrete logarithm problem.By the way, we also propose a new efficient group-oriented multisignature scheme based on the elliptic curve cryptosystem, which provides a simple way with message recovery.There are several advantages supported to the ISW (Information Security Warfare) with our proposed schemes based on elliptic curve cryptosystem:(1)any group signature is mutually generated by at least t group members;(2)the size of the group signature is equivalent to the size of an individual signature and smaller than the schemes based on RSA or ElGamal cryptosystems;(3)half of data communications, stored space, and time cost can be reduced;(4)It also help us to prevent the data forged by the adversaries in the data communications.We expect that the result of the research can be applied to various types of communications. Data integrity and nonrepudiation are the main requirements.
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