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This article presents a new class of Pseudorandom Number Generators. Thegenerators are based on traversing a n-cube where a Balanced Hamiltonian Cyclehas been removed. The construction of such generators is automatic for smallnumber of bits, but remains an open problem when this number becomes large. Arunning example is used throughout the paper. Finally, first statisticalexperiments of these generators are presented, they show how efficient andpromising the proposed approach seems.

Traversing a n-cube without Balanced Hamiltonian Cycle to Generate Pseudorandom Numbers