{ "id": "1309.7776", "version": "v1", "published": "2013-09-30T09:50:29.000Z", "updated": "2013-09-30T09:50:29.000Z", "title": "A new large class of functions not APN infinitely often", "authors": [ "Florian Caullery" ], "categories": [ "cs.IT", "math.IT" ], "abstract": "In this paper, we show that there is no vectorial Boolean function of degree 4e, with e satisfaying certain conditions, which is APN over infinitely many extensions of its field of definition. It is a new step in the proof of the conjecture of Aubry, McGuire and Rodier", "revisions": [ { "version": "v1", "updated": "2013-09-30T09:50:29.000Z" } ], "analyses": { "keywords": [ "large class", "vectorial boolean function", "degree 4e", "conditions" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1309.7776C" } } }