By Victor Shoup, Rosario Gennaro (auth.), Kaisa Nyberg (eds.)
This publication constitutes the refereed court cases of the 1998 foreign convention at the concept and alertness of Cryptographic thoughts, EUROCRYPT '98, held in Espoo, Finland, in May/June 1998.
The booklet offers forty four revised complete papers chosen from a complete of 161 submissions. The papers are equipped in sections on allotted cryptography, complexity, cryptanalysis of block ciphers, computational algorithms, paradigms for symmetric structures, public key cryptosystems, multi-party computation, electronic signatures, Boolean capabilities, combinatorial layout and research, elliptic curve platforms, and digital trade and payment.
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Extra resources for Advances in Cryptology — EUROCRYPT'98: International Conference on the Theory and Application of Cryptographic Techniques Espoo, Finland, May 31 – June 4, 1998 Proceedings
We call alphabet a finite set of elements (called characters). The cardinal number of a finite set V is the number of elements it contains and is denoted by . A sequence of characters belonging to V is called a string . We denote by the set of all the strings over V, and the set of all the strings whose length is not equal to 0. As the alphabet of the code and the alphabet of the source may differ, we will distinguish the source alphabet and the code alphabet. For the example of the fax, the source alphabet is the result of the scanner, that is, and the code alphabet will be the set of bits .
The presentation of these models includes some introduction to useful mathematical concepts for the manipulation of codes, as well as general notions on the efficiency of calculation methods, which will be frequently used throughout the present work. Reading this chapter will require a basic theoretical knowledge of linear algebra (a first course in this field should be sufficient). Some elements go beyond the standard knowledge of nonmathematician students and are presented in detail here. The reader will soon be aware of their real practical importance, most of the time during their very introduction.
For now, the decryption method is very simple and consists in applying the inverse function of the encryption function, possibly customized with a key, namely . In our case, the recipient of Caesar's fax would have to apply for every number received on the channel The message is now decrypted. Now, we still have to perform the inverse of all the remaining transformations. First of all, the format of each line is checked in order to detect possible errors (in this case, we ask for a second transmission), then the decoding algorithm is performed which –given a sequence of numbers – will return the initial pixel sequence.