lower bound: | 148 |
upper bound: | 148 |
Construction of a linear code [200,5,148] over GF(4): [1]: [200, 5, 148] Linear Code over GF(2^2) Construction from a stored generator matrix: [ 1, 0, w^2, 0, 1, w, w, 1, w, 0, 0, 1, w^2, 1, w^2, w, w, w^2, 0, w, 1, 0, w^2, 1, w, w^2, 1, w^2, w, 0, 0, 1, w, w^2, w, w^2, 0, 1, w^2, w, 1, 1, w, w^2, 1, w^2, 1, 0, 0, 1, w^2, 1, 0, w, w^2, 0, 1, w^2, 0, 0, w, w^2, w^2, w, w, 0, 1, w^2, 0, w, 1, 0, w, w^2, 1, 1, 0, 1, w, w^2, 1, 0, w^2, w, w, 0, 0, 1, w, w^2, 0, w^2, w, 0, w, w^2, w^2, w, w^2, w, 1, 0, 0, w^2, 1, 0, w^2, w, 0, 1, w^2, 1, 0, 0, w, w^2, 1, 0, w, w^2, 0, w^2, w, 1, 0, 1, w, w^2, 1, w^2, w, 0, 1, w, 0, 1, w^2, 0, w^2, w, w^2, 0, w^2, w, 1, 0, 1, w^2, w, w^2, 0, w^2, w, 1, 0, 0, 1, w^2, 1, w, w^2, w, 1, 1, w^2, w, w^2, 1, w^2, w, 0, 0, 1, w^2, 0, w^2, w, w, 1, 0, w^2, 0, w^2, w, w^2, 0, 1, 1, 0, 0, 1, 0, w^2, w, w, w^2, 0, w^2, 1, 0 ] [ 0, 1, w, 0, 1, w, 0, w^2, 1, w^2, 0, 1, w^2, 0, w, w^2, 0, 1, w, 1, w, 0, w^2, 0, 0, 1, w^2, 0, 1, w^2, 0, 1, w, w, w^2, 1, w, w^2, 0, 1, w, 1, w, w^2, 0, 0, w, w^2, 0, 1, w^2, 0, 1, w^2, 1, w, w^2, 0, w^2, 0, w, w^2, w, w^2, 0, w, w^2, 0, 0, w, 0, 1, 0, 1, w^2, w, w^2, 1, w, w^2, 0, 1, w, w^2, 0, w, 0, 1, w, 1, w, 0, 1, 0, w, w^2, w, w^2, 1, 1, w, w^2, 0, w^2, 0, 1, w, w^2, w, w^2, 0, w, w^2, 0, w, w^2, 0, 1, w^2, 1, w, 0, 1, w, 0, 1, w, w^2, 0, w, 0, w, w^2, 1, w^2, 1, w^2, 1, w, 0, 1, w, 0, 1, w, w^2, 0, w, 0, 1, w, 0, 1, w, w^2, 0, 1, w^2, 0, 0, 1, 1, 1, 0, w, 0, 1, w^2, 0, 1, w^2, 0, 1, w^2, 1, w, w^2, 1, w, w^2, w^2, 1, w, w^2, 1, w, w^2, w, w^2, 0, 1, 1, w, w^2, 0, 1, w, 0, w, w^2 ] [ 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, w, w, w, w, w, w, w, w, w, w, w, w^2, w^2, w^2, w^2, w^2, w^2, w^2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, w, w, w, w, w, w, w, w, w, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, w, w, w, w, w, w, w, w, w, w, w, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, w, w, w, w, w, w, w, w, w, w^2, w^2, w^2, w^2, w^2, w^2, w^2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, w, w, w, w, w, w, w, w, w, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, w, w, w, w, w, w, w, w, w, w, w, w, w, w, w, w, w, w, w, w, w, w, w, w, w, w, w, w, w, w, w, w, w, w, w, w, w, w, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] where w:=Root(x^2 + x + 1)[1,1]; last modified: 2002-04-23
Lb(200,5) = 148 Bo1 Ub(200,5) = 148 follows by the Griesmer bound.
Notes
|