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| Written by cecco | |
| Tuesday, 22 January 2008 | |
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In some situations you need to share a password, for example the one of your encrypted office documents, with other people, for example your boss or your secretary giving them the possibility to access your documents even if you loose that password. But I think you now that your password is a secret and no one can see it, other wise it would not be called a secret! So I will discuss some techniques to achieve the goal of split your password and give pieces of it to the people who need to restore it in case you loose it. But remember that you want confidentiality: a person alone with a piece of your secret could not be able to restore your password. 2-way secret splitting: you must generate a casual string R1 of the same length of your password S and execute a logical XOR b R1 and S obtaining R2. Then distribute R1 and R2 to your friends, being sure that none of those alone will be able to known your password. If you want to reconstruct your secret then you need to get R1 and R2 and to calculate R1 XOR R2. g(x)=(a_[t-1]x^(t-1)+a_[t-2]^(t-2)+…+ax+S) mod p, where p >> a_[i] for (t-1)<i<1 Generate n shadows and evaluate the polynomial at 1,2,..,n obtaining R1=g(1), R2=g(2), … , Rn=g(n). Then discard the polynomial and distribute the shadows to your friends. If you want to reconstruct your password you need any t shadows to rebuild the polynomial g(x). Then evaluate g(0) and the result is your password. |
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| Last Updated ( Tuesday, 22 January 2008 ) |
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