網際網路盛行，全球資訊網出現，造就電子商務時代來臨，商業交易興盛與否，必須仰賴電子文件與數位簽章來確立其權利與義務，資訊的完整性、鑑別性及不可否認性則是電子簽章所提供的功能，因此每份傳遞出來的文件必經過嚴格簽章或加密的作業，然而數以萬計的文件往來勢必經過數以萬次的簽章或加密運算，所耗費的時間甚鉅，本研究以研究橢圓曲線快速運算為基礎，其計算效率比現行其他公開金鑰演算法快速，且運用背包型態提出多份文件一次簽密之應用方法，能夠大量減少企業間商用文件的簽章次數，達到提升效率縮短作業時間的效益。

With the prevalence of the Internet, World Wide Web emerged, creating e-commerce era, the rise of commercial transactions, and otherwise must rely on electronic documents and digital signatures to establish their rights and obligations, authenticity of information, authenticity and non-repudiation is provided by the electronic signature function, digital signature technology affect the development of e-commerce. This paper is to study fast computing based on elliptic curve cryptosystem, computational efficiency than other existing public key algorithm quickly, and make multiple copies of documents used a signcryption method of application, this method can significantly reduce the number of commercial paper encryption and signature, to enhance the efficiency of the benefits of reduced operating time.

電子商務;楕圓曲線密碼學;多文件簽密

E-commerce; elliptic curve cryptosystem; multi-signcryption