lower bound: | 156 |
upper bound: | 158 |
Construction of a linear code [243,8,156] over GF(3): [1]: [243, 8, 156] Linear Code over GF(3) Code found by Axel Kohnert Construction from a stored generator matrix: [ 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2 ] [ 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1 ] [ 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2 ] [ 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 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, 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, 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, 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 ] [ 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, 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, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1 ] last modified: 2012-03-29
Lb(243,8) = 153 is found by taking a subcode of: Lb(243,11) = 153 XBC Ub(243,8) = 158 Gur
XBC: Extended BCH code.
Notes
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