On Extremal Additive F4 Codes of Length 10 to 18

In this paper we classify the 19 even extremal self-dual additive codes of length 10 and we classify under a restrictive hypothesis 490 even extremal self-dual codes of length 14. Under the same restrictive hypothesis we also give a partial result on the uniqueness of the even self-dual additive F4-linear [18,9,8] code.