{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:5NKTPX4S2J4SFZYECGWNTOK6DQ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"5631b29de850c8036a883ddac03b19b5cdc494ca7bb244276930d9dabb7e38ba","cross_cats_sorted":["cs.CR","cs.DM","math.CO","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-05-25T04:04:15Z","title_canon_sha256":"24839faa72550a2be5d7b9e46c6fa3c8f5e414a5afbf0c6a14a9c214a7a36407"},"schema_version":"1.0","source":{"id":"1805.09972","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.09972","created_at":"2026-05-18T00:14:58Z"},{"alias_kind":"arxiv_version","alias_value":"1805.09972v1","created_at":"2026-05-18T00:14:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.09972","created_at":"2026-05-18T00:14:58Z"},{"alias_kind":"pith_short_12","alias_value":"5NKTPX4S2J4S","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_16","alias_value":"5NKTPX4S2J4SFZYE","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_8","alias_value":"5NKTPX4S","created_at":"2026-05-18T12:32:08Z"}],"graph_snapshots":[{"event_id":"sha256:89f8ca6313fe152bc35741fef8b4e02c101920dfc763b4194dc9ae92a83c885a","target":"graph","created_at":"2026-05-18T00:14:58Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"In this thesis, we study algebraic coding theory based McEliece-type cryptosystems over quasi-cyclic codes. The main goal of this thesis is to construct a cryptosystem that resists quantum Fourier sampling making it quantum secure. We propose a new variant of Niederreiter cryptosystem over rate $\\frac{m-1}{m}$ quasi-cyclic codes which is secure against quantum Fourier sampling due to indistinguishability of the hidden subgroup. The proof of indistinguishability is achieved due to two constraints over automorphism group; small size and large minimal degree. Apart from this cryptosystem, we also","authors_text":"Upendra Kapshikar","cross_cats":["cs.CR","cs.DM","math.CO","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-05-25T04:04:15Z","title":"McEliece-type Cryptosystems over Quasi-cyclic Codes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.09972","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:760a4b79b7871b4177ebca8ae521572ab3848fbaf12bfb2634f9ada73b270f20","target":"record","created_at":"2026-05-18T00:14:58Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"5631b29de850c8036a883ddac03b19b5cdc494ca7bb244276930d9dabb7e38ba","cross_cats_sorted":["cs.CR","cs.DM","math.CO","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-05-25T04:04:15Z","title_canon_sha256":"24839faa72550a2be5d7b9e46c6fa3c8f5e414a5afbf0c6a14a9c214a7a36407"},"schema_version":"1.0","source":{"id":"1805.09972","kind":"arxiv","version":1}},"canonical_sha256":"eb5537df92d27922e70411acd9b95e1c3dccb6d4729e589c60b5da0c0d9316af","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eb5537df92d27922e70411acd9b95e1c3dccb6d4729e589c60b5da0c0d9316af","first_computed_at":"2026-05-18T00:14:58.611704Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:14:58.611704Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VMb/XTq1CUmNO8n9kfIX6/o3J1stjLJ67/M6HgoWUBT0ui4zWqa2DTI/maqC553ZplZ3PZ2B2iDFHKbQtY0RDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:14:58.612393Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.09972","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:760a4b79b7871b4177ebca8ae521572ab3848fbaf12bfb2634f9ada73b270f20","sha256:89f8ca6313fe152bc35741fef8b4e02c101920dfc763b4194dc9ae92a83c885a"],"state_sha256":"3f5f625dce64c49487120096a38a9b299f18da72eb5616787bf7ae14058ba4b9"}