Abstract: Random sequences are generated based on a stochastic generative model having multiple random variates. Inputs representative of the stochastic generative model are received. The inputs include a first random variate having a finite set of alphabets, a second random variate having a set of alphabets, and a third random variate having a finite set of alphabets. Outputs representative of the random sequences are generated based on the stochastic generative model. The outputs include a first random sequence that is a finite-length random sequence of alphabets randomly selected from the first random variate, a second random sequence having a set of alphabets selected from the second random variate, and a third random sequence having a set of alphabets randomly selected from the third random variate.