Information on Result #1747566
Digital (42, 64, 233016)-net over F128, using net defined by OOA based on linear OOA(12864, 233016, F128, 28, 22) (dual of [(233016, 28), 6524384, 23]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(12864, 699049, F128, 4, 22) (dual of [(699049, 4), 2796132, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12864, 699051, F128, 4, 22) (dual of [(699051, 4), 2796140, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12864, 699051, F128, 3, 22) (dual of [(699051, 3), 2097089, 23]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12864, 2097153, F128, 22) (dual of [2097153, 2097089, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(12864, 2097155, F128, 22) (dual of [2097155, 2097091, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- linear OA(12864, 2097152, F128, 22) (dual of [2097152, 2097088, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(12861, 2097152, F128, 21) (dual of [2097152, 2097091, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(1280, 3, F128, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(1280, s, F128, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- discarding factors / shortening the dual code based on linear OA(12864, 2097155, F128, 22) (dual of [2097155, 2097091, 23]-code), using
- OOA 3-folding [i] based on linear OA(12864, 2097153, F128, 22) (dual of [2097153, 2097089, 23]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12864, 699051, F128, 3, 22) (dual of [(699051, 3), 2097089, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12864, 699051, F128, 4, 22) (dual of [(699051, 4), 2796140, 23]-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.