All 28-dimensional unimodular lattices with minimum norm 3 are known. Using this classification, we give a classification of ternary extremal self-dual codes of length 28. Up to equivalence, there are 6,931 such codes.
['Masaaki Harada', 'Akihiro Munemasa', 'Boris Venkov']
Classification of Ternary Extremal Self-Dual Codes of Length 28