2020/07/10 by Bierbrauer, Juergen, Marcugini, Stefano, Pambianco, Fernanda
#94B60 #Combinatorics (math.CO) #FOS: Mathematics
paper · doi:10.48550/arxiv.2007.05482
An additive quaternary [n,k,d]-code (length n, quaternary dimension k, minimum distance d) is a 2k-dimensional F2-vector space of n-tuples with entries in Z2× Z2 (the 2-dimensional vector space over F2) with minimum Hamming distance d. We determine the optimal parameters of additive quaternary codes of dimension k≤ 3. The most challenging case is dimension k=2.5. We prove that an additive quaternary [n,2.5,d]-code where d