Abstract

New s-extremal extremal unimodular lattices in dimensions 38, 40, 42 and 44 are constructed from self-dual codes over F5 by Construction A. In the process of constructing these codes, we obtain a self-dual [44,22,14] code over F5. In addition, the code implies a [43,22,13] code over F5. These codes have larger minimum weights than the previously known [44,22] codes and [43,22] codes, respectively.

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call