Information on Result #2156702
There is no linear OA(2118, 169, F2, 55) (dual of [169, 51, 56]-code), because 1 times truncation would yield linear OA(2117, 168, F2, 54) (dual of [168, 51, 55]-code), but
- construction Y1 [i] would yield
- OA(2116, 148, S2, 54), but
- the linear programming bound shows that M ≥ 67 089316 460630 621624 223128 238837 181334 945792 / 674 571975 > 2116 [i]
- OA(251, 168, S2, 20), but
- discarding factors would yield OA(251, 159, S2, 20), but
- the Rao or (dual) Hamming bound shows that M ≥ 2282 987168 569557 > 251 [i]
- discarding factors would yield OA(251, 159, S2, 20), but
- OA(2116, 148, S2, 54), 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.