Selected Areas in Cryptography: 19th International by Martin R. Albrecht, Gregor Leander (auth.), Lars R. Knudsen,

By Martin R. Albrecht, Gregor Leander (auth.), Lars R. Knudsen, Huapeng Wu (eds.)

This ebook constitutes the completely refereed post-conference complaints of the nineteenth overseas convention on chosen parts in Cryptography, SAC 2012, held in Windsor, Ontario, Canada, in August 2012. The 24 papers awarded have been rigorously reviewed and chosen from 87 submissions. they're prepared in topical sections named: cryptanalysis, electronic signatures, movement ciphers, implementations, block cipher cryptanalysis, lattices, hashfunctions, blockcipher buildings, and miscellaneous.

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Extra info for Selected Areas in Cryptography: 19th International Conference, SAC 2012, Windsor, ON, Canada, August 15-16, 2012, Revised Selected Papers

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Em ] ∈ Fn2 , we can solve the polynomial system {f1 +e1 , f2 +e2 , . . , fn + em } by an algebraic method. We can exhaustively searching E in the order of increasing Hamming weight and solve the corresponding polynomial system for each E. If the corresponding equation set of some E have a solution, then it is the solution of the Max-PoSSo problem. To improve the solving and searching efficiencies, we combine the incremental solving method and backtracking search method with the above idea. For a polynomial set P, we can solve it by some algebraic method, such as the Characteristic Set(CS) method [2,6] or the Gr¨ obner Basis method [4,5].

1 Preliminaries AES-128 In this section, aspects of AES-128 that are relevant for this paper are described. For detailed information, refer to FIPS 197 [9]. AES-128 is an iterated block cipher mapping a 16 byte plaintext to a 16 byte ciphertext using a 128 bit key. AES-128 consists of 10 rounds and has 11 round keys which are derived 36 Y. De Mulder, P. Roelse, and B. Preneel from the AES-128 key using the AES key scheduling algorithm. Each round of the algorithm updates a 16 byte state; the initial state of the algorithm is the plaintext and the final state of the algorithm is the ciphertext.

2. Else, u = u − ek ck , k = k − 1. 5. Get (x1 , . . , xn ) from S, and return (x1 , . . , xn ). Input: Proof: The termination of Algorithm 1 is trivial, since in this algorithm we are searching all possible values of [e1 , e2 , . . , em ] with backtracking and the number of possible values is finite. In the following, we will explain the operations of this algorithm more specifically, from which we can show the correctness of this algorithm. From Step 1 to Step 3, we do the following operations recursively.

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