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DES can be regarded as a nonlinear feedback shift register (NLFSR) with input. From this point of view, the tools for pseudo-random sequence analysis are applied to the S-boxes in DES. The properties of the S-boxes of DES under Fourier transform, Hadamard transform, extended Hadamard transform and Avalanche transform are investigated. Two important results… (More)

In this note, we present a connection between designing low correlation zone (LCZ) sequences and the results of correlation of sequences with subfield decompositions presented in a recent book by the first two authors [2]. This results in low correlation zone signal sets with huge sizes over three different alphabetic sets: finite field of size q, integer… (More)

—We present a new construction of 16-QAM Golay sequences of length = 2. The number of constructed sequences is (14 + 12)(! 2)4 +1. When employed as a code in an orthogonal frequency-division multiplexing (OFDM) system; this set of sequences has a peak-to-mean envelope power ratio (PMEPR) of 3 6. By considering two specific subsets of these sequences, we… (More)