Information on Result #596183
There is no linear OOA(2259, 291, F2, 7, 127) (dual of [(291, 7), 1778, 128]-NRT-code), because 5 times depth reduction would yield linear OOA(2259, 291, F2, 2, 127) (dual of [(291, 2), 323, 128]-NRT-code), but
- 1 step m-reduction [i] would yield linear OA(2258, 291, F2, 126) (dual of [291, 33, 127]-code), but
- construction Y1 [i] would yield
- linear OA(2257, 281, F2, 126) (dual of [281, 24, 127]-code), but
- residual code [i] would yield linear OA(2131, 154, F2, 63) (dual of [154, 23, 64]-code), but
- OA(233, 291, S2, 10), but
- discarding factors would yield OA(233, 254, S2, 10), but
- the Rao or (dual) Hamming bound shows that M ≥ 8640 218941 > 233 [i]
- discarding factors would yield OA(233, 254, S2, 10), but
- linear OA(2257, 281, F2, 126) (dual of [281, 24, 127]-code), but
- construction Y1 [i] would yield
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.