By Mikael Goldmann, Mats NÄslund (auth.), Burton S. Kaliski Jr. (eds.)
This booklet constitutes the refereed court cases of the seventeenth Annual overseas Cryptology convention, CRYPTO'97, held in Santa Barbara, California, united states, in August 1997 lower than the sponsorship of the foreign organization for Cryptologic examine (IACR).
The quantity provides 35 revised complete papers chosen from a hundred and sixty submissions got. additionally incorporated are invited displays. The papers are prepared in sections on complexity idea, cryptographic primitives, lattice-based cryptography, electronic signatures, cryptanalysis of public-key cryptosystems, details conception, elliptic curve implementation, number-theoretic structures, dispensed cryptography, hash capabilities, cryptanalysis of secret-key cryptosystems.
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Extra info for Advances in Cryptology — CRYPTO '97: 17th Annual International Cryptology Conference Santa Barbara, California, USA August 17–21, 1997 Proceedings
This gives a total value of We shall now evaluate the above sum, by counting columnwise, the number of agreements minus the number of disagreements between all lower entries with the top entries. Case: p even. By G1, the contribution of each column will be since each column counts exactly agreements of a lower entry with the top entry and exactly p/2 disagreements. Summing this value over all columns gives – p for the total sum. AC(k) is an integer. This is not possible when , Case: p odd. One gets for columns the contribution which is 0, and for columns the contribution which is -2.
In this way the system is unconditionally secure, as is intuitively clear and will be proved in Chapter 5. The "hot line" between Washington and Moscow uses this system. The major drawback of this system is the length of the key, which makes this system impractical for most applications. 2 The Playfair Cipher The Playfair cipher (1854, named after the Englishman L. Playfair) was used by the British in World War I. It operates on 2-grams. First of all, one has to identify the letters i and j. The remaining 25 letters of the alphabet are put rowwise in a 5 × 5 matrix K, as follows.
For centuries, no one had an effective way of breaking this system, mainly because one did not have a technique of determining the key length r. Once one knows r, one can find the r simple substitutions by grouping together the letters for each i, and break each of these r simple substitutions individually. W. Kasiski, solved the problem of finding the key length r by statistical means. In the next section, we shall discuss this method. 1)). As explained at the end of the previous section, the key to breaking the Vigenère system is to determine the key length r.
Advances in Cryptology — CRYPTO '97: 17th Annual International Cryptology Conference Santa Barbara, California, USA August 17–21, 1997 Proceedings by Mikael Goldmann, Mats NÄslund (auth.), Burton S. Kaliski Jr. (eds.)