Information on Result #547696
There is no linear OA(2182, 266, F2, 86) (dual of [266, 84, 87]-code), because construction Y1 would yield
- linear OA(2181, 234, F2, 86) (dual of [234, 53, 87]-code), but
- residual code [i] would yield OA(295, 147, S2, 43), but
- 1 times truncation [i] would yield OA(294, 146, S2, 42), but
- the linear programming bound shows that M ≥ 168 670907 663262 236513 872429 896360 338501 843579 568128 / 8247 290372 596431 535185 > 294 [i]
- 1 times truncation [i] would yield OA(294, 146, S2, 42), but
- residual code [i] would yield OA(295, 147, S2, 43), but
- OA(284, 266, S2, 32), but
- the Rao or (dual) Hamming bound shows that M ≥ 20 235683 184533 302133 558736 > 284 [i]
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.