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Value of S and r in Fiat-Shamir Protocol
Note that the original 1988 paper says "Choose k random numbers $S_1 ..... S_k$ in $Z_n$" (p. 86)
Encryption with data loss protection
Perhaps it's not what you need, but you may be interested in locality sensitive hashing -- it's what Google uses to identify identical web pages, even where there's slight difference in HTML content (different ads, etc.). It's been a while since I've looked at LSH, but I think it allows the recipient to calculate the distance of their copy of the book from the original book.