Information on Result #1726154
Digital (51, 72, 472)-net over F7, using net defined by OOA based on linear OOA(772, 472, F7, 27, 21) (dual of [(472, 27), 12672, 22]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(772, 1889, F7, 3, 21) (dual of [(1889, 3), 5595, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(772, 1890, F7, 3, 21) (dual of [(1890, 3), 5598, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(772, 1890, F7, 21) (dual of [1890, 1818, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(772, 2400, F7, 21) (dual of [2400, 2328, 22]-code), using
- 1 times truncation [i] based on linear OA(773, 2401, F7, 22) (dual of [2401, 2328, 23]-code), using
- an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- 1 times truncation [i] based on linear OA(773, 2401, F7, 22) (dual of [2401, 2328, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(772, 2400, F7, 21) (dual of [2400, 2328, 22]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(772, 1890, F7, 21) (dual of [1890, 1818, 22]-code), using
- discarding factors / shortening the dual code based on linear OOA(772, 1890, F7, 3, 21) (dual of [(1890, 3), 5598, 22]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.