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The BPCACC instruction is capable of evaluating a binary correlation of length N c in N c 4 + 1 clock cycles.
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Later, set of binary sequences of length with autocorrelation sidelobes and cross-correlation peak values of approximately are studied in paper [4].
The distribution of cross-correlations is more complex, as there are no orthogonal binary sequences of length 4k + 2.
On one hand, for aperiodic sequences, it is known that for most binary sequences of length the attainable sidelobe levels are approximately [2, 3] and the mutual peak cross-correlations of the same-length sequences are much larger and are usually in the order of to.
As in the previous analyses, we compared the correlation of perceived length and actual length with the correlation of perceived length and the most highly correlated nonspecifying variable.
Each A u is a binary vector of length.
Let us lexicographically order the binary sequences of length by (3).
In this paper, we derive the number of binary strings which contain, for a given ik, exactly ik runs of 1's of length k in all possible binary strings of length n, 1≤k≤n.
If we take a variable-order Markov model of order D=2, its states are labeled with binary strings of length l≤2 (strings are binary since the observation space is binary).
The ZCC (C, w) code is a family of binary sequences of length C and constant Hamming-weight w.
Let "D" denote our ordered binary list of length N (the total number of gene transcripts).
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