with, denotes the all-ones -dimensional vector, is the set of all -dimensional vectors with entries taking values 0 of 1, that is, contains the binary words of length and is the th component of.
The distributor generates a fingerprinting code (mathcal {X}) of n binary code words of length ℓ.1 The parameter ℓ is referred to as the code length, and the distributor would like ℓ to be as small as possible.
A word of length 0 is called an empty word and denoted by ε.
By processing a sequence X in the DFA, we get a sequence Y (of vertexes) in which the words of length 2 corresponding to the counting transitions occur each time a pattern occurs in X. Example: If we consider the pattern aba.a (. means "any letter") on the binary alphabet = {a, b}.
We first consider contiguous words of length k and define the i-th word of sequence S as.
A haplotype h k can then be viewed as a binary word h k,1... h k, m of length m over the alphabet {0, 1}.
Each A u is a binary vector of length.
Let "D" denote our ordered binary list of length N (the total number of gene transcripts).
A binary vector of length n therefore represents a single individual in the GA population.
Binary maximum length sequences (binary m-sequences) contain all possible sequences of storage initialization in a binary shift register of length L, except the initialization of all storages with zero - resulting in a sequence length of 2 L -1 [22].
