In coding theory, the hexacode is a length 6 linear code of dimension 3 over the Galois field G F ( 4 ) = { 0 , 1 , ω , ω 2 } {\displaystyle GF(4)=\{0...

other restriction is that the scores of each column form a word in the hexacode. The score of a column can be either 0, 1, ω, or ω-bar, depending on its...

_{2}^{4}} into 4 planes. Nowadays often the compact approach of Conway's hexacode, that uses a 4×6 array of square cells, is used. Winning positions in the...

Valentiner group can be represented as the monomial symmetries of the hexacode, the 3-dimensional subspace of F6 4 spanned by (001111), (111100), and...

sextet group has a normal abelian subgroup H of order 64, isomorphic to the hexacode, a vector space of length 6 and dimension 3 over F4. A non-zero element...