We discuss the problem of counting the number of primitive transformation shift registers and its equivalent formulation in terms of Singer cycles in a corresponding general linear group. We also introduce the notion of word-oriented nonlinearly filtered primitive transformation shift registers based on a Langford arrangement and study their linear complexity.

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Keywords Langford arrangement, linear complexity, Linear feedback shift register, nonlinearly filtered primitive transformation shift register, Singer cycle, transformation shift register
Persistent URL dx.doi.org/10.1007/978-3-642-30615-0_18
Series Lecture Notes in Computer Science
Hasan, S.U. (Sartaj Ul), Panario, D. (Daniel), & Wang, Q. (2012). Word-oriented transformation shift registers and their linear complexity. In Lecture Notes in Computer Science. doi:10.1007/978-3-642-30615-0_18