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More recently in [23] and in [5], new examples of maximum scattered $\\mathbb{F}_q$-subspaces of $V(2,q^n)$ have been constructed, but the equivalence problem of the corresponding linear sets is left open.\n  Here we show that the $\\mathbb{F}_q$-linear sets presented in [23] and in [5], for $n=6,8$, are new. Also, for $q$ odd, $q\\equiv \\pm 1,\\,0 \\pmod 5$, we present new examples of maximum scattered $\\mathbb{F}_q$-linear sets in $\\mathrm{PG}(1,q^6)$, a"},"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":"1709.00926","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-09-04T12:47:29Z","cross_cats_sorted":[],"title_canon_sha256":"8390e5ccfa4a4993a1e4ae26fd5b2e37ceefac2f04e02a0694f742aa4291d66f","abstract_canon_sha256":"3994e90896254d83014aabffba4c1f7b87d8fa0a49d3cf81076464ca559acb0f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:36:04.715595Z","signature_b64":"XFaGrVUcluAGESNAn3MK+gyiAnqvhcVxI9JpyeSIiX3EFtb+zXFDYTUir1Mm8rbJWL6s9k/r9qlwwCin4Yw9BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5c537992de5437d094f22f626d45b0cf5d141f21c95c3cd40eff337cb6a7fb85","last_reissued_at":"2026-05-18T00:36:04.714945Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:36:04.714945Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"New maximum scattered linear sets of the projective line","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Bence Csajb\\'ok, Ferdinando Zullo, Giuseppe Marino","submitted_at":"2017-09-04T12:47:29Z","abstract_excerpt":"In [2] and [19] are presented the first two families of maximum scattered $\\mathbb{F}_q$-linear sets of the projective line $\\mathrm{PG}(1,q^n)$. 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