Information on Result #2156812
There is no linear OA(2132, 166, F2, 63) (dual of [166, 34, 64]-code), because 1 times truncation would yield linear OA(2131, 165, F2, 62) (dual of [165, 34, 63]-code), but
- construction Y1 [i] would yield
- linear OA(2130, 153, F2, 62) (dual of [153, 23, 63]-code), but
- adding a parity check bit [i] would yield linear OA(2131, 154, F2, 63) (dual of [154, 23, 64]-code), but
- OA(234, 165, S2, 12), but
- discarding factors would yield OA(234, 154, S2, 12), but
- the Rao or (dual) Hamming bound shows that M ≥ 17486 314616 > 234 [i]
- discarding factors would yield OA(234, 154, S2, 12), but
- linear OA(2130, 153, F2, 62) (dual of [153, 23, 63]-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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.