Optimal additive quaternary codes of dimension 3.5 and 4

Abstract

After the optimal parameters of additive quaternary codes of dimension k<=3 have been determined in [1], there was some activity to settle the next case of dimension k=3.5 [2,3]. Here we complete dimensions k=3.5 and k=4. We also solve the problem of the optimal parameters of additive quaternary codes of arbitrary dimension when assuming a sufficiently large minimum distance.