Introduction to Cryptography: Principles and Applications by Hans Delfs, Helmut Knebl

By Hans Delfs, Helmut Knebl

Due to the fast development of electronic communique and digital facts alternate, details safeguard has turn into an important factor in undefined, company, and management. smooth cryptography presents crucial thoughts for securing info and keeping data.

In the 1st half, this e-book covers the major options of cryptography on an undergraduate point, from encryption and electronic signatures to cryptographic protocols. crucial ideas are validated in protocols for key trade, person id, digital elections and electronic funds. within the moment half, extra complex issues are addressed, equivalent to the bit defense of one-way capabilities and computationally excellent pseudorandom bit turbines. the safety of cryptographic schemes is a imperative subject. general examples of provably safe encryption and signature schemes and their safety proofs are given. although specific consciousness is given to the mathematical foundations, no distinctive historical past in arithmetic is presumed. the mandatory algebra, quantity conception and chance conception are incorporated within the appendix. each one bankruptcy closes with a set of routines.

The moment version comprises corrections, revisions and new fabric, together with an entire description of the AES, a longer part on cryptographic hash services, a brand new part on random oracle proofs, and a brand new part on public-key encryption schemes which are provably safe opposed to adaptively-chosen-ciphertext attacks.

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Extra info for Introduction to Cryptography: Principles and Applications (Information Security and Cryptography)

Example text

The Rijndael algorithm and its steps are byte-oriented. They operate on the bytes of the state matrix. 3). Then adding (which is the same as bitwise XORing) and multiplying bytes means to add and multiply them as elements of the field F28 . The SubBytes Step. SubBytes is the only non-linear transformation of Rijndael. It substitutes the bytes of the state matrix byte by byte, by applying the function SRD 5 to each element of the matrix state. The function SRD is also called the S-box; it does not depend on the key.

Each round key is a sequence of Nb words. AddKey simply bitwise XORs the state with the roundkey to get the new value of state: (state, roundkey) → state ⊕ roundkey. Since we arrange state as a matrix, a round key is also represented as a round key matrix of bytes with 4 rows and Nb columns. Each of the Nb words of the round key yields a column. Then the corresponding entries of the state matrix and the round key matrix are bitwise XORed by AddKey to get the new state matrix. Note that bitwise XORing two bytes means to add two elements of the field F28 .

If the same initial value x1 is used for two messages m and m , then identical key streams are generated for m and m , and an eavesdropper Eve immediately computes the difference between m and m from the ciphertexts: m ⊕ m = c ⊕ c . Thus, it is strongly recommended to choose a new random initial value for each message. A transmission bit error in block ci only affects the decryption of that block. The block recovered from ci has bit errors precisely where ci did. However, the output feedback mode will not recover from a lost ciphertext block – all following ciphertext blocks will be decrypted incorrectly.

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