New extremal self-dual binary codes of length 68 via composite construction, đť”˝2 + uđť”˝2 lifts, extensions and neighbours
Steven T. Dougherty, Joe Gildea, Adrian Korban, Abidin Kaya · International Journal of Information and Coding Theory · 2020
We describe a composite construction from group rings where the groups have orders 16 and 8. This construction is then applied to find the extremal binary self-dual codes with parameters [32, 16, 8] or [32, 16, 6]. We also extend this composite construction by expanding the search field which enables us to find more extremal binary self-dual codes with the above parameters and with different orders of automorphism groups. These codes are then lifted to