Information on Result #550266
There is no linear OOA(728, 40, F7, 2, 24) (dual of [(40, 2), 52, 25]-NRT-code), because 1 times depth reduction would yield linear OA(728, 40, F7, 24) (dual of [40, 12, 25]-code), but
- construction Y1 [i] would yield
- linear OA(727, 30, F7, 24) (dual of [30, 3, 25]-code), but
- “Hi4†bound on codes from Brouwer’s database [i]
- linear OA(712, 40, F7, 10) (dual of [40, 28, 11]-code), but
- discarding factors / shortening the dual code would yield linear OA(712, 36, F7, 10) (dual of [36, 24, 11]-code), but
- construction Y1 [i] would yield
- linear OA(711, 15, F7, 10) (dual of [15, 4, 11]-code), but
- “BPM†bound on codes from Brouwer’s database [i]
- linear OA(724, 36, F7, 21) (dual of [36, 12, 22]-code), but
- discarding factors / shortening the dual code would yield linear OA(724, 31, F7, 21) (dual of [31, 7, 22]-code), but
- residual code [i] would yield OA(73, 9, S7, 3), but
- discarding factors / shortening the dual code would yield linear OA(724, 31, F7, 21) (dual of [31, 7, 22]-code), but
- linear OA(711, 15, F7, 10) (dual of [15, 4, 11]-code), but
- construction Y1 [i] would yield
- discarding factors / shortening the dual code would yield linear OA(712, 36, F7, 10) (dual of [36, 24, 11]-code), but
- linear OA(727, 30, F7, 24) (dual of [30, 3, 25]-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.