{"paper":{"title":"Differential Spectrum of Some Power Functions With Low Differential Uniformity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CR","authors_text":"Habong Chung, Jong-Seon No, Seokbeom Hong, Sung-Tai Choi","submitted_at":"2012-07-08T06:37:49Z","abstract_excerpt":"In this paper, for an odd prime $p$, the differential spectrum of the power function $x^{\\frac{p^k+1}{2}}$ in $\\mathbb{F}_{p^n}$ is calculated. For an odd prime $p$ such that $p\\equiv 3\\bmod 4$ and odd $n$ with $k|n$, the differential spectrum of the power function $x^{\\frac{p^n+1}{p^k+1}+\\frac{p^n-1}{2}}$ in $\\mathbb{F}_{p^n}$ is also derived. From their differential spectrums, the differential uniformities of these two power functions are determined. We also find some new power functions having low differential uniformity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.1845","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}