DEAL is a DES-based block cipher proposed by Knudsen. The block size of DEAL is 128 bits, twice as much as the DES block size. The main result of the current paper is a certificational attack on DEAL192, the DEAL variant with a 192-bit key. The attack allows a trade-off between the number of plaintext/ciphertext pairs and the time for the attacker’s computations. Nevertheless, the DEAL design p...

for the mean-square quantizing error where N is the. number of level&p(x) is the probability density of the input, and E’(x) is the slope of the compressor curve. The formula, an approximation based on the assumption that the number of levels is large and overI& distortion is negligible, is a useful tool for analytical studies of quantfzation. This paper gives a bedstlc argument generallhg Beme...