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These generalize the results obtained by Kyureghyan in 2011. Consequently, we characterize permutation polynomials of the form $L(x)+\\sum_{i=1} ^l\\gamma_i {\\rm Tr}_{{\\bf F}_{q^m}/{\\bf F}_{q}}(h_i(x))$, which extends a theorem of Charpin and Kyureghyan obtained in 2009."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1403.6012","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-03-24T15:47:58Z","cross_cats_sorted":[],"title_canon_sha256":"656111798a7dda3c3764cb2d2aa5e191556f45e902d658d7c0f5ab0de97ac22a","abstract_canon_sha256":"cd25ba2b8af712f5a1e01e96779f45a6f78ad6c5d264a81120754037b991d5a2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:50:42.372621Z","signature_b64":"wa2StLsORYcFz7fGQ07RNioaM5kGL3hNOv3w3uOBZKGEb6a9NQdO2uBJDF/XpNJCLFo3O89DnMd/o/WtligYAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7e005e4d7c3805dda612713d43e24b3687bc6f4c57249ac30a3af08905177718","last_reissued_at":"2026-05-18T02:50:42.372077Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:50:42.372077Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"New results on permutation polynomials over finite fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Guoyou Qian, Shaofang Hong, Xiaoer Qin","submitted_at":"2014-03-24T15:47:58Z","abstract_excerpt":"In this paper, we get several new results on permutation polynomials over finite fields. 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