{"paper":{"title":"A construction of UD $k$-ary multi-user codes from $(2^m(k-1)+1)$-ary codes for MAAC","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Hiroshi Kamabe, Jun Cheng, Shan Lu, Wei Hou","submitted_at":"2019-01-21T01:09:49Z","abstract_excerpt":"In this paper, we proposed a construction of a UD $k$-ary $T$-user coding scheme for MAAC. We first give a construction of $k$-ary $T^{f+g}$-user UD code from a $k$-ary $T^{f}$-user UD code and a $k^{\\pm}$-ary $T^{g}$-user difference set with its two component sets $\\mathcal{D}^{+}$ and $\\mathcal{D}^{-}$ {\\em a priori}. Based on the $k^{\\pm}$-ary $T^{g}$-user difference set constructed from a $(2k-1)$-ary UD code, we recursively construct a UD $k$-ary $T$-user codes with code length of $2^m$ from initial multi-user codes of $k$-ary, $2(k-1)+1$-ary, \\dots, $(2^m(k-1)+1)$-ary. Introducing multi-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.06757","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"}