In this paper, we propose new methods of constructing optimal binary low correlation zone(LCZ) sequences. In the new method, we devise a column sequence set of length 2 − 1 from a binary sequence of period 2 − 1 having ideal autocorrelation property and this column sequence set is used to construct binary LCZ sequence sets of period 2n−1 when (m+1)|n. The new method gives us the optimal sets wi...

Let us say that an infinite binary sequence q lies above an infinite binary sequence p if q can be obtained from p by replacing selected 0’s in p by 1’s. We show that above any infinite binary Martin-Löf random sequence p there exists an infinite binary nonrandom sequence q above which there exists an infinite binary random sequence r. This result is of interest especially in connection with th...

In an effort to search for a new binary two-level autocorrelation sequence, the decimation-Hadamard transform (DHT) based on special classes of known binary sequences with two-level autocorrelation is investigated. It is theoretically proved that some realizations of a binary generalized Gordon-Mills-Welch (GMW) sequence can be predicted from the structure of subfield factorization and the real...

The present paper introduces an integrated construction of binary sequences having a zero-correlation zone. The cross-correlation function and the side-lobe of the auto-correlation function of the proposed sequence set is zero for the phase shifts within the zero-correlation zone. The proposed method enables more flexible design of the binary zerocorrelation zone sequence set with respect to it...

The main target of this research paper is to propose an algorithm to implement data security using encryption and decryption method in binary sequence of original text message. The binary sequence of message is converted into DNA sequence, which consists of nucleotide letter A,T,G,C., then by using random function, which generates the sequence of random numbers for each nucleotide. The generate...