Information on Result #1735546
Digital (86, 115, 12624)-net over F16, using net defined by OOA based on linear OOA(16115, 12624, F16, 30, 29) (dual of [(12624, 30), 378605, 30]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OOA(16115, 88369, F16, 2, 29) (dual of [(88369, 2), 176623, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(16115, 88371, F16, 2, 29) (dual of [(88371, 2), 176627, 30]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(16115, 88371, F16, 29) (dual of [88371, 88256, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(16115, 131077, F16, 29) (dual of [131077, 130962, 30]-code), using
- 1 times code embedding in larger space [i] based on linear OA(16114, 131076, F16, 29) (dual of [131076, 130962, 30]-code), using
- trace code [i] based on linear OA(25657, 65538, F256, 29) (dual of [65538, 65481, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(27) [i] based on
- linear OA(25657, 65536, F256, 29) (dual of [65536, 65479, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(25655, 65536, F256, 28) (dual of [65536, 65481, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(2560, 2, F256, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(2560, s, F256, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(28) ⊂ Ce(27) [i] based on
- trace code [i] based on linear OA(25657, 65538, F256, 29) (dual of [65538, 65481, 30]-code), using
- 1 times code embedding in larger space [i] based on linear OA(16114, 131076, F16, 29) (dual of [131076, 130962, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(16115, 131077, F16, 29) (dual of [131077, 130962, 30]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(16115, 88371, F16, 29) (dual of [88371, 88256, 30]-code), using
- discarding factors / shortening the dual code based on linear OOA(16115, 88371, F16, 2, 29) (dual of [(88371, 2), 176627, 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.