A classical introduction to modern cryptography by Serge Vaudenay

By Serge Vaudenay

A Classical creation to Cryptography: Applications for Communications protection introduces basics of data and verbal exchange safety via offering applicable mathematical ideas to end up or holiday the protection of cryptographic schemes.

This advanced-level textbook covers traditional cryptographic primitives and cryptanalysis of those primitives; easy algebra and quantity concept for cryptologists; public key cryptography and cryptanalysis of those schemes; and different cryptographic protocols, e.g. mystery sharing, zero-knowledge proofs and indisputable signature schemes.

A Classical creation to Cryptography: Applications for Communications protection  is designed for upper-level undergraduate and graduate-level scholars in machine technological know-how. This booklet is additionally compatible for researchers and practitioners in undefined. A separate exercise/solution e-book is out there to boot, please visit www.springeronline.com lower than writer: Vaudenay for extra information on the best way to buy this publication.

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It was developed during the PhD studies of Xuejia Lai under the supervision of James Massey at the ETH Z¨urich. IDEA was published in Lai’s thesis (Ref. [110]) in 1992. 5 Like DES, IDEA is a block cipher for 64-bit blocks. IDEA uses much longer keys than DES as it allows for 128-bit keys. In the same way that DES was dedicated to hardware, IDEA was dedicated to software implementation on 16-bit microprocessors (which used to be a luxurious architecture in the early nineties). It makes an extensive use of the XOR, the addition modulo 216 , and the product of nonzero residues modulo 216 + 1.

Every round processes a data block and a round key RK (whose size consists of two blocks) and produces another data block. The r − 1 first rounds have identical structure but the last round is a little different. Direction K ❄ Round ✛ RK1 ❄ Round ✛ RK2 ❄ Key schedule ❄ ... . 20. The FOX skeleton. 21. One round of FOX64 with an orthomorphism. 2 with the XOR as the addition law and an orthomorphism as depicted in Fig. 21. Note that branches in the Lai–Massey scheme are split into two in the figure, leading us to four branches in total.

The addition law which is used in the Lai–Massey scheme of IDEA is the XOR. 15. The Lai–Massey scheme with orthomorphism σ . 16. One round of IDEA. 17. The MA structure in IDEA. 3 Substitution–Permutation Network Shannon originally defined the encryption as a cascade of substitutions (like the Caesar cipher, or like the S-boxes in DES) and permutations (or transpositions, like the Spartan scytales, or the bit permutation after the S-boxes in DES). Therefore, many block ciphers fit to the category of substitution–permutation networks.

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