基于廣義XTR體制的簽名方案
Signature Schemes Based on Extended XTR System
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摘要: 與RSA和ECC相比較,同等安全程度下XTR密鑰長(zhǎng)度遠(yuǎn)遠(yuǎn)小于RSA,最多只是ECC密鑰長(zhǎng)度的2倍;而XTR參數(shù)和密鑰選取遠(yuǎn)遠(yuǎn)快于ECC。該文利用有限域中元素跡的快速算法,給出了兩種特殊的基于廣義XTR體制的簽名方案,其安全性等價(jià)于解廣義XTR群中的離散對(duì)數(shù)困難問(wèn)題,但是傳輸?shù)臄?shù)據(jù)量只有原來(lái)方案的1/3.
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關(guān)鍵詞:
- 廣義XTR公鑰體制; 數(shù)字簽名; 跡表示
Abstract: Compared with RSA and ECC, XTR keys are much smaller than RSA keys of equivalent security, and are at most twice as big as ECC keys, but parameter and key selections for XTR are much faster than ECC. With the fast method for computing the trace of the elements in the finite field, two blind signature schemes based on extended XTR system are presented in this paper, the security is equivalent to solving discrete logarithm problem of extended XTR group while the datum is only 1/3 of the previous schemes. -
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