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    • 1. 发明授权
    • Threshold secret sharing apparatus, threshold secret sharing scheme, secret information decryption method, and program for the same
    • 阈值秘密共享装置,阈值秘密共享方案,秘密信息解密方法及其程序
    • US08275124B2
    • 2012-09-25
    • US12014471
    • 2008-01-15
    • Jun KuriharaShinsaku KiyomotoToshiaki Tanaka
    • Jun KuriharaShinsaku KiyomotoToshiaki Tanaka
    • H04L29/06
    • H04L9/085
    • A threshold secret sharing apparatus, a threshold secret sharing scheme, a secret information recovery apparatus a secret information recovery method, and a program thereof are provided using XOR computation, thereby offering a general (k,n) threshold secret sharing scheme with high computation speed. Secret information K is divided into (np−1) divided pieces of secret information Kq (np is a prime number which is equal to or greater than a secret distribution number n). Furthermore, dummy secret information K0 is generated. Moreover, random numbers R, which are mutually independent are generated. Then, pieces of shares are created using exclusive-OR (XOR) operations based upon the dummy secret information K0, the divided piece of secret information Kq, and the random numbers R. The pieces of shares thus generated are concatenated so as to generate n shares Si, thereby providing a (k,n) threshold secret sharing scheme.
    • 使用XOR计算提供阈值秘密共享装置,阈值秘密共享方案,秘密信息恢复装置,秘密信息恢复方法及其程序,从而提供具有高计算速度的通用(k,n)阈值秘密共享方案 。 秘密信息K被分成(np-1)个分割的秘密信息Kq(np是等于或大于秘密分配数n的质数)。 此外,生成伪秘密信息K0。 此外,生成相互独立的随机数R。 然后,使用基于伪秘密信息K0,分割的秘密信息Kq和随机数R的异或(XOR)操作创建股份。这样产生的股份被级联以产生n 共享Si,从而提供(k,n)阈值秘密共享方案。