{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T16:39:29Z","timestamp":1740155969804,"version":"3.37.3"},"reference-count":12,"publisher":"World Scientific Pub Co Pte Ltd","issue":"04","funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61179026"],"award-info":[{"award-number":["61179026"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"crossref","award":["Y15-26"],"award-info":[{"award-number":["Y15-26"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2016,12]]},"abstract":"<jats:p> In this paper, the Sphere-packing bound, Singleton bound, Wang\u2013Xing\u2013Safavi-Naini bound, Johnson bound and Gilbert\u2013Varshamov bound on the subspace codes [Formula: see text] based on [Formula: see text]-dimensional totally isotropic subspaces in unitary space [Formula: see text] over finite fields [Formula: see text] are presented. Then, we prove that [Formula: see text] codes based on [Formula: see text]-dimensional totally isotropic subspaces in unitary space [Formula: see text] attain the Wang\u2013Xing\u2013Safavi-Naini bound if and only if they are certain Steiner structures in [Formula: see text]. <\/jats:p>","DOI":"10.1142\/s1793830916500567","type":"journal-article","created":{"date-parts":[[2016,7,7]],"date-time":"2016-07-07T06:54:45Z","timestamp":1467874485000},"page":"1650056","source":"Crossref","is-referenced-by-count":3,"title":["Bounds on subspace codes based on totally isotropic subspaces in unitary spaces"],"prefix":"10.1142","volume":"08","author":[{"given":"You","family":"Gao","sequence":"first","affiliation":[{"name":"College of Science, Civil Aviation University of China, Tianjin 300300, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Liyum","family":"Zhao","sequence":"additional","affiliation":[{"name":"College of Science, Civil Aviation University of China, Tianjin 300300, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Gang","family":"Wang","sequence":"additional","affiliation":[{"name":"College of Science, Civil Aviation University of China, Tianjin 300300, P. R. 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