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Sequences of bent functions and near-bent functions

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Abstract

We introduce infinite sequences of Boolean functions whose terms all are bent functions or all are near-bent functions.

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References

  1. Canteault, A., Charpin, P.: Decomposing Bent Functions. IEEE Trans. Inf. Theory 49, 2004–2019 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  2. Dillon, J.F.: Elementary Hadamard Difference Sets. Ph.D. Thesis, University of Maryland (1974)

  3. Kerdock, A.M.: A class of low-rate non linear codes. Inf. Control. 20, 182–187 (1972)

    Article  MathSciNet  MATH  Google Scholar 

  4. Leander, G., McGuire, G.: Construction of Bent Functions from Near-Bent Functions. J. Comb. Theory Ser. A 1164, 960–970 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  5. Mac Williams, F.J., Sloane, N.J.A.: The Theory of Error Correcting Codes. North-Holland, Amsterdam (1977)

    Google Scholar 

  6. Rothaus, O.S.: On bent functions. J. Comb. Theory Ser. A 20, 300–305 (1976)

    Article  MATH  Google Scholar 

  7. Wolfmann, J.: Bent Functions and Coding Theory. Difference Sets, Sequences and their Correlation properties Pott, A., Kumar, P.V., Helleseth, T., Jungnickel, D. (eds.) . NATO Sciences Series, Series C,542, Kluwer Academic Publishers,393–418 (1999)

  8. Wolfmann, J.: Cyclic code aspects of bent functions.Finite Fields: Theory and Applications. AMS Ser. Contemp. Math. 518, 363–384 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  9. Wolfmann, J.: Special Bent and Near-Bent Functions. Adv. Math. Commun. 8 (1), 21–33 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  10. Wolfmann, J.: From Near-Bent to Bent: A special Case. Topics in Finite Fields, AMS series. Contemp. Math. 632, 359–371 (2015)

    Article  MathSciNet  MATH  Google Scholar 

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Wolfmann, J. Sequences of bent functions and near-bent functions. Cryptogr. Commun. 9, 729–736 (2017). https://doi.org/10.1007/s12095-017-0212-2

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  • DOI: https://doi.org/10.1007/s12095-017-0212-2

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