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On Designing Transformed Linear

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The technical report discusses the design of transformed Linear Feedback Shift Registers (t-LFSRs) that achieve minimum hardware cost while generating pseudorandom sequences. It establishes a proof that any t-LFSR implementing the same characteristic polynomial as a standard or modular LFSR cannot use fewer than log2(k+1) XOR gates for odd k, or 1+log2k for even k. The report introduces a new class of minimum-cost LFSRs (min-LFSRs) and provides methods to construct them, emphasizing their potential to reduce hardware costs compared to traditional designs.

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