Bookcover of Secret Sharing Using the Chinese Remainder Theorem
Booktitle:
Secret Sharing Using the Chinese Remainder Theorem
Betascript Publishing
(2010-06-09
)
eligible for voucher
ISBN-13:
978-613-0-39161-4
ISBN-10:
6130391617
EAN:
9786130391614
Book language:
English
Blurb/Shorttext:
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Secret sharing consists of recovering a secret S from a set of shares, each containing partial information about the secret. Secret sharing can thus use the CRT to produce the shares presented in the congruence equations and the secret could be recovered by solving the system of congruences to get the unique solution, which will be the secret to recover. There are several types of secret sharing schemes. The most basic types are the so-called threshold schemes, where only the cardinality of the set of shares matters. In other words, given a secret S, and n shares, any set of t shares is a set with the smallest cardinality from which the secret can be recovered, in the sense that any set of t-1 shares is not enough to give S. This is known as a threshold access structure. We call such schemes (t,n) threshold secret sharing schemes, or t-out-of-n scheme. Threshold secret sharing schemes differ from one another by the method of generating the shares, starting from a certain secret.