lower bound: | 123 |
upper bound: | 129 |
Construction of a linear code [201,9,123] over GF(3): [1]: [201, 9, 123] Linear Code over GF(3) Code found by Axel Kohnert Construction from a stored generator matrix: [ 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0 ] [ 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0 ] [ 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1 ] [ 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1 ] [ 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2 ] [ 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2 ] [ 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2 ] last modified: 2008-09-15
Lb(201,9) = 121 is found by truncation of: Lb(202,9) = 122 XB Ub(201,9) = 129 follows by a one-step Griesmer bound from: Ub(71,8) = 43 is found by considering shortening to: Ub(69,6) = 43 Ma
XB:
Notes
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