Varbanov, Zlatko2024-07-122024-07-122009Varbanov, Z. (2009). On additive self-dual codes over GF(4) and their applications. Maltepe Üniversitesi. s. 406.9.78605E+12https://hdl.handle.net/20.500.12415/2936After the publication [1], additive self-orthogonal codes over GF(4) under a trace inner product became of interest because of their correspondence to additive (or stabilizer) quantum error-correcting codes. Several papers were devoted to classifying or constructing additive self-dual codes over GF(4). It was shown [2] that certain vectors in some additive self-dual codes over GF(4) hold generalized t-designs as well as classical t-designs with possibly repeated blocks. Also, every additive self-dual code over GF(4) can be uniquely represented as an undirected graph, and conversely. These facts motivate the construction of additive self-dual codes over GF(4). In this work we consider some constructive algorithms for additive self-dual codes over GF(4). We use these algorithms to construct new codes. Also, we describe the relations between this class of codes and other combinatorial structures.enCC0 1.0 Universalinfo:eu-repo/semantics/openAccessAdditive self-dual codesBlock designsQuantum codesConstructive algorithmsConference Object407406