Primitive Polynomials, Singer Cycles, and Word-Oriented Linear Feedback Shift Registers

Sudhir R. Ghorpade, Sartaj Ul Hasan, Meena Kumari

Using the structure of Singer cycles in general linear groups, we prove that a conjecture of Zeng, Han and He (2007) holds in the affirmative in a special case, and outline a plaus…