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It is shown that when $d_x=2$, $Z$-parts of the AQCs can attain the classical Gilbert-Varshamov bound. Then we construct AQCs based on a famous subclass of Alternant codes called Goppa codes. As an illustrative example, we get three $[[55,6,19/4]],[[55,10,19/3]],[[55,15,19/2]]$ AQCs from the well known $[55,16,19]$ binary Goppa code. At last, we get asym"},"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":"1401.3215","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"cs.IT","submitted_at":"2014-01-14T15:08:17Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"8f0a7b58c4c61e15c588646014b039c4fb9349b96886189a44b10bff8b9a6ded","abstract_canon_sha256":"56bb6d9898a7cbd297b8f44325c72ded72dabbcdd5e49d895270f567de3c40b2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:01:57.849577Z","signature_b64":"dYOMsU7sq/ifYtmyNpY0OAVLzhC4NI2ubZhsSK94Yx407pOW/nBwURA9gATheKvorwqW5nsBxGxThkwG9BS/AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2791c93c1c8c692a1acfbb98a5a4e9d4cfa1ea101f6edd4aa84e43eeab38a3c6","last_reissued_at":"2026-05-18T03:01:57.848705Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:01:57.848705Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Constructions of Pure Asymmetric Quantum Alternant Codes Based on Subclasses of Alternant Codes","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Hanwu Chen, Jihao Fan","submitted_at":"2014-01-14T15:08:17Z","abstract_excerpt":"In this paper, we construct asymmetric quantum error-correcting codes(AQCs) based on subclasses of Alternant codes. 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