Information on Result #1726668
Digital (69, 98, 392)-net over F7, using net defined by OOA based on linear OOA(798, 392, F7, 33, 29) (dual of [(392, 33), 12838, 30]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(798, 1961, F7, 3, 29) (dual of [(1961, 3), 5785, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(798, 1962, F7, 3, 29) (dual of [(1962, 3), 5788, 30]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(798, 1962, F7, 29) (dual of [1962, 1864, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(798, 2406, F7, 29) (dual of [2406, 2308, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(26) [i] based on
- linear OA(797, 2401, F7, 29) (dual of [2401, 2304, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(793, 2401, F7, 27) (dual of [2401, 2308, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(71, 5, F7, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, s, F7, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(28) ⊂ Ce(26) [i] based on
- discarding factors / shortening the dual code based on linear OA(798, 2406, F7, 29) (dual of [2406, 2308, 30]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(798, 1962, F7, 29) (dual of [1962, 1864, 30]-code), using
- discarding factors / shortening the dual code based on linear OOA(798, 1962, F7, 3, 29) (dual of [(1962, 3), 5788, 30]-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.