Gildea, JoeKorban, AdrianRoberts, Adam2024-08-282024-08-282021-12-19Gildea, J., Korban, A., & Roberts, A. M. (2022). New binary self-dual codes of lengths 80, 84 and 96 from composite matrices. Designs, Codes and Cryptography, 90, 317–342. https://doi.org/10.1007/s10623-021-00976-30925-102210.1007/s10623-021-00976-3http://hdl.handle.net/10034/628968The version of record of this article, first published in [Designs, Codes and Cryptography], is available online at Publisher’s website: http://dx.doi.org/10.1007/s10623-021-00976-3In this work, we apply the idea of composite matrices arising from group rings to derive a number of different techniques for constructing self-dual codes over finite commutative Frobenius rings. By applying these techniques over different alphabets, we construct best known singly-even binary self-dual codes of lengths 80, 84 and 96 as well as doubly-even binary self-dual codes of length 96 that were not known in the literature before.https://creativecommons.org/licenses/by/4.0/Self-dual codesGroup ringsArticle1573-7586Designs, Codes and Cryptography90