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    A Few More Quadratic APN Functions


    Bracken, Carl and Byrne, Eimear and Markin, Nadya and McGuire, Gary (2008) A Few More Quadratic APN Functions. Working Paper. Submitted to Cryptography and Communications, Springer Verlag, to appear. (Unpublished)

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    Abstract

    We present two infinite families of APN functions on GF(2n) where n is divisible by 3 but not 9. Our families contain two already known families as special cases. We also discuss the inequivalence proof (by computation) which shows that these functions are new.

    Item Type: Monograph (Working Paper)
    Additional Information: Research supported by Irish Research Council for Science, Engineering and Technology Postdoctoral Fellowship and Science Foundation Ireland Grant 06/MI/006
    Keywords: Quadratic APN Functions; infinite families;
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Item ID: 2636
    Depositing User: Library Editor
    Date Deposited: 12 Aug 2011 15:54
    Journal or Publication Title: Cryptography and Communications
    Publisher: Submitted to Cryptography and Communications, Springer Verlag, to appear
    URI:
    Use Licence: This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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