New binary self-dual codes of lengths 56, 58, 64, 80 and 92 from a modification of the four circulant construction

In this work, we give a new technique for constructing self-dual codes over commutative Frobenius rings using lambda-circulant matrices. The new construction was derived as a modification of the well-known four circulant construction of self-dual codes. Applying this technique together with the building-up construction, we construct singly-even binary self-dual codes of lengths 56, 58, 64, 80 and 92 that were not known in the literature before. Singly-even self-dual codes of length 80 with beta is an element of {2, 4, 5, 6, 8} in their weight enumerators are constructed for the first time in the literature. (C) 2021 Elsevier Inc. All rights reserved.