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By Francisco Rodriguez-Henriquez, N.A. Saqib, Arturo Díaz Pérez, Cetin Kaya Koc
Software-based cryptography can be utilized for protection purposes the place information site visitors isn't really too huge and occasional encryption expense is tolerable. yet tools are enhanced the place velocity and real-time encryption are wanted. in the past, there was no e-book explaining how cryptographic algorithms should be carried out on reconfigurable units. This publication covers computational tools, laptop mathematics algorithms, and layout development recommendations had to enforce effective cryptographic algorithms in FPGA reconfigurable systems. the writer emphasizes the sensible points of reconfigurable layout, explaining the elemental arithmetic concerned, and giving a complete description of state of the art implementation techniques.
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Computer Arithmetic: Addition, Substraction, Squaring, Multiplication, Division, Exponentiation, Square Root Computation Fig. 1. A Hierarchical Six-Layer Model for Information Security Applications portant cryptographic applications in the industry are studied and analyzed. Furthermore, alternatives for the implementation of cryptographic algorithms on various software and hardware platforms are also discussed. 1 Introduction A cryptographic cipher system can hide the actual contents of every message by transforming (enciphering) it before transmission or storage.
2. Secret Key Cryptography Both encryption and decryption keys (which sometimes are the same keys) are kept secret and must be known at both ends to perform encryption or decryption as is shown in Fig. 2. Symmetric algorithms are fast and are used for encrypting/decrypting high volume data. It is customary to classify symmetric algorithms into two types: stream ciphers and block ciphers. • • Stream ciphers: A stream cipher is a type of symmetric encryption algorithms in which the input data is encrypted one bit (sometimes one byte) at a time.
T h e number of 2. T h e coeffcients 3. A base point P a prime order. 4. T h e order n of 5. T h e cofactor h field elements (finite field order) q. a , 6 G Fg t h a t define t h e eUiptic equation E over Fg. = (xp, yp) e¥q t h a t belongs to t h e curve E. P must have P. - #E{¥q)/n. E C D S A Key Generation Let P e E{¥q) with order n, where E is an elliptic curve as defined above. We consider t h e field order q, the elliptic curve equation E and t h e base point P as public domain p a r a m e t e r s .