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The linear complexity of generalized cyclotomic sequences with period \(2p^n\)

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Abstract

We found the linear complexity of generalized cyclotomic sequences with period \(2p^n\) based on quadratic, biquadratic and partially sextic residues. Our method is based on the generating the polynomial of the classical cyclotomic sequences, which allows us to obtain some well-known results and also some new results.

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Acknowledgments

The authors acknowledge the patient referees for their valuable and constructive comments which helped to improve this work.

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Correspondence to Vladimir Edemskiy.

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Edemskiy, V., Antonova, O. The linear complexity of generalized cyclotomic sequences with period \(2p^n\) . AAECC 25, 213–223 (2014). https://doi.org/10.1007/s00200-014-0223-6

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  • DOI: https://doi.org/10.1007/s00200-014-0223-6

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