Information on Result #584787
There is no linear OOA(3243, 227, F3, 4, 171) (dual of [(227, 4), 665, 172]-NRT-code), because 2 times depth reduction would yield linear OOA(3243, 227, F3, 2, 171) (dual of [(227, 2), 211, 172]-NRT-code), but
- 24 step m-reduction [i] would yield linear OA(3219, 227, F3, 147) (dual of [227, 8, 148]-code), but
- residual code [i] would yield linear OA(372, 79, F3, 49) (dual of [79, 7, 50]-code), but
- 1 times truncation [i] would yield linear OA(371, 78, F3, 48) (dual of [78, 7, 49]-code), but
- residual code [i] would yield linear OA(323, 29, F3, 16) (dual of [29, 6, 17]-code), but
- 1 times truncation [i] would yield linear OA(322, 28, F3, 15) (dual of [28, 6, 16]-code), but
- “HHM†bound on codes from Brouwer’s database [i]
- 1 times truncation [i] would yield linear OA(322, 28, F3, 15) (dual of [28, 6, 16]-code), but
- residual code [i] would yield linear OA(323, 29, F3, 16) (dual of [29, 6, 17]-code), but
- 1 times truncation [i] would yield linear OA(371, 78, F3, 48) (dual of [78, 7, 49]-code), but
- residual code [i] would yield linear OA(372, 79, F3, 49) (dual of [79, 7, 50]-code), but
Mode: Bound (linear).
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.