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Specifically, we first propose an ellipsoid version of the G\u2009+\u2009G signature scheme (Asiacrypt 2023) that achieves slightly better signature size and higher security. Then, by adapting a specific preimage sampling algorithm to the modified G\u2009+\u2009G signature, we obtain an efficient IBS scheme. In addition, we prove its security in the quantum random oracle model (QROM), following the paradigm introduced by Zhangdry (Crypto 2012). Finally, a complete specification of the IBS, featuring three distinct parameter sets, is accompanied by a proof\u2010of\u2010concept implementation. We believe that the combination of the preimage sampling with the Fiat\u2013Shamir transformation holds potential for application in the other advanced digital signature schemes.<\/jats:p>","DOI":"10.1049\/ise2\/6684889","type":"journal-article","created":{"date-parts":[[2025,11,20]],"date-time":"2025-11-20T05:36:52Z","timestamp":1763617012000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Constructing Efficient Identity\u2010Based Signatures on Lattices"],"prefix":"10.1049","volume":"2025","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9289-5918","authenticated-orcid":false,"given":"Huiwen","family":"Jia","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0009-0008-7603-7375","authenticated-orcid":false,"given":"Ying","family":"Liu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7634-4705","authenticated-orcid":false,"given":"Chunming","family":"Tang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6421-5498","authenticated-orcid":false,"given":"Lin","family":"Wang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"265","published-online":{"date-parts":[[2025,11,19]]},"reference":[{"key":"e_1_2_12_1_2","first-page":"47","volume-title":"Advances in Cryptology","author":"Shamir A.","year":"1984"},{"key":"e_1_2_12_2_2","first-page":"18","volume-title":"Public Key Cryptography\u2014PKC 2003","author":"Cha J.","year":"2002"},{"key":"e_1_2_12_3_2","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-36492-7_20"},{"key":"e_1_2_12_4_2","doi-asserted-by":"publisher","DOI":"10.1007\/11593447_28"},{"key":"e_1_2_12_5_2","doi-asserted-by":"publisher","DOI":"10.1007\/11780656_18"},{"key":"e_1_2_12_6_2","doi-asserted-by":"publisher","DOI":"10.1137\/S0036144598347011"},{"key":"e_1_2_12_7_2","unstructured":"SchwabeP. 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