Symmetric shift registers over GF(2) are modeled via nonlinear difference equations incorporating arithmetic progressions to clarify structure and compute minimal periods.
Ifj≥0, then (33.3) and Observation 51.1 b) imply that (60.1)q rj +2i =s rj +2i = 1 ande rj +2i = 0 for 1≤i≤t j+1
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Representation of Symmetric Shift Registers
Symmetric shift registers over GF(2) are modeled via nonlinear difference equations incorporating arithmetic progressions to clarify structure and compute minimal periods.