Information on Result #586036
There is no linear OOA(2153, 193, F2, 5, 72) (dual of [(193, 5), 812, 73]-NRT-code), because 4 times depth reduction would yield linear OA(2153, 193, F2, 72) (dual of [193, 40, 73]-code), but
- construction Y1 [i] would yield
- linear OA(2152, 179, F2, 72) (dual of [179, 27, 73]-code), but
- adding a parity check bit [i] would yield linear OA(2153, 180, F2, 73) (dual of [180, 27, 74]-code), but
- OA(240, 193, S2, 14), but
- discarding factors would yield OA(240, 180, S2, 14), but
- the Rao or (dual) Hamming bound shows that M ≥ 1 124371 299892 > 240 [i]
- discarding factors would yield OA(240, 180, S2, 14), but
- linear OA(2152, 179, F2, 72) (dual of [179, 27, 73]-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.