{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:YXJWLKP434SM3Q43OLVWED2LET","short_pith_number":"pith:YXJWLKP4","schema_version":"1.0","canonical_sha256":"c5d365a9fcdf24cdc39b72eb620f4b24dad29472ccd7a30be35d6a27f5565e47","source":{"kind":"arxiv","id":"1010.0189","version":1},"attestation_state":"computed","paper":{"title":"Reed-Muller Codes for Peak Power Control in Multicarrier CDMA","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Nam Yul Yu","submitted_at":"2010-10-01T15:59:54Z","abstract_excerpt":"Reed-Muller codes are studied for peak power control in multicarrier code-division multiple access (MC-CDMA) communication systems. In a coded MC-CDMA system, the information data multiplexed from users is encoded by a Reed-Muller subcode and the codeword is fully-loaded to Walsh-Hadamard spreading sequences. The polynomial representation of a coded MC-CDMA signal is established for theoretical analysis of the peak-to-average power ratio (PAPR). The Reed-Muller subcodes are defined in a recursive way by the Boolean functions providing the transmitted MC-CDMA signals with the bounded PAPR as we"},"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":"1010.0189","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-10-01T15:59:54Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"cb2d574cb2a4b6fa89c7e4444aed850cdcd18557a6982c58ed9636b9f23d5498","abstract_canon_sha256":"133682c868305f04872c579d32f8b1cc96cf6e405a9b7a75e69cf4c25660dc25"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:40:00.111681Z","signature_b64":"OWAYCFO9OmWn5aOTHfWe2Eam43yvfayZbCVz/1Usyv4v42p0/1A7c1Ia71yJay/K/ApHKDxI2lPQCEnWRHdvDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c5d365a9fcdf24cdc39b72eb620f4b24dad29472ccd7a30be35d6a27f5565e47","last_reissued_at":"2026-05-18T04:40:00.111231Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:40:00.111231Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Reed-Muller Codes for Peak Power Control in Multicarrier CDMA","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Nam Yul Yu","submitted_at":"2010-10-01T15:59:54Z","abstract_excerpt":"Reed-Muller codes are studied for peak power control in multicarrier code-division multiple access (MC-CDMA) communication systems. In a coded MC-CDMA system, the information data multiplexed from users is encoded by a Reed-Muller subcode and the codeword is fully-loaded to Walsh-Hadamard spreading sequences. The polynomial representation of a coded MC-CDMA signal is established for theoretical analysis of the peak-to-average power ratio (PAPR). The Reed-Muller subcodes are defined in a recursive way by the Boolean functions providing the transmitted MC-CDMA signals with the bounded PAPR as we"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.0189","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1010.0189","created_at":"2026-05-18T04:40:00.111289+00:00"},{"alias_kind":"arxiv_version","alias_value":"1010.0189v1","created_at":"2026-05-18T04:40:00.111289+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.0189","created_at":"2026-05-18T04:40:00.111289+00:00"},{"alias_kind":"pith_short_12","alias_value":"YXJWLKP434SM","created_at":"2026-05-18T12:26:17.028572+00:00"},{"alias_kind":"pith_short_16","alias_value":"YXJWLKP434SM3Q43","created_at":"2026-05-18T12:26:17.028572+00:00"},{"alias_kind":"pith_short_8","alias_value":"YXJWLKP4","created_at":"2026-05-18T12:26:17.028572+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/YXJWLKP434SM3Q43OLVWED2LET","json":"https://pith.science/pith/YXJWLKP434SM3Q43OLVWED2LET.json","graph_json":"https://pith.science/api/pith-number/YXJWLKP434SM3Q43OLVWED2LET/graph.json","events_json":"https://pith.science/api/pith-number/YXJWLKP434SM3Q43OLVWED2LET/events.json","paper":"https://pith.science/paper/YXJWLKP4"},"agent_actions":{"view_html":"https://pith.science/pith/YXJWLKP434SM3Q43OLVWED2LET","download_json":"https://pith.science/pith/YXJWLKP434SM3Q43OLVWED2LET.json","view_paper":"https://pith.science/paper/YXJWLKP4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1010.0189&json=true","fetch_graph":"https://pith.science/api/pith-number/YXJWLKP434SM3Q43OLVWED2LET/graph.json","fetch_events":"https://pith.science/api/pith-number/YXJWLKP434SM3Q43OLVWED2LET/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YXJWLKP434SM3Q43OLVWED2LET/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YXJWLKP434SM3Q43OLVWED2LET/action/storage_attestation","attest_author":"https://pith.science/pith/YXJWLKP434SM3Q43OLVWED2LET/action/author_attestation","sign_citation":"https://pith.science/pith/YXJWLKP434SM3Q43OLVWED2LET/action/citation_signature","submit_replication":"https://pith.science/pith/YXJWLKP434SM3Q43OLVWED2LET/action/replication_record"}},"created_at":"2026-05-18T04:40:00.111289+00:00","updated_at":"2026-05-18T04:40:00.111289+00:00"}