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Some randomized algorithms, used to obtain a random $n^2 \times n^2$ Sudokumatrix, where $n$ is a natural number, is reviewed in this study. Below isdescribed the set $\Pi_n$ of all $(2n) \times n$ matrices, consisting ofelements of the set $\mathbb{Z}_n =\{ 1,2,\ldots ,n\}$, such that every row isa permutation. It is proved that such matrices would be particularly useful indeveloping efficient algorithms in generating Sudoku matrices. An algorithm toobtain random $\Pi_n$ matrices is presented in this paper. The algorithms areevaluated according to two criteria - probability evaluation, and timeevaluation. This type of criteria is interesting from both theoretical andpractical point of view because they are particularly useful in the analysis ofcomputer programs.

Random Permutations, Random Sudoku Matrices and Randomized Algorithms