lower bound: | 27 |
upper bound: | 27 |
Construction of a linear code [48,8,27] over GF(3): [1]: [48, 8, 27] Linear Code over GF(3) Code found by Axel Kohnert Construction from a stored generator matrix: [ 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1 ] [ 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0 ] [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0 ] [ 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0 ] [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1 ] [ 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1 ] [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1 ] [ 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0 ] last modified: 2008-12-29
Lb(48,8) = 26 is found by truncation of: Lb(49,8) = 27 DaH Ub(48,8) = 27 follows by a one-step Griesmer bound from: Ub(20,7) = 9 is found by considering shortening to: Ub(19,6) = 9 is found by construction B: [consider deleting the (at most) 4 coordinates of a word in the dual]
Notes
|