Information on Result #1186836
Digital (108, 127, 29128)-net over F4, using net defined by OOA based on linear OOA(4127, 29128, F4, 19, 19) (dual of [(29128, 19), 553305, 20]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(4127, 262153, F4, 19) (dual of [262153, 262026, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(4127, 262144, F4, 19) (dual of [262144, 262017, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(4118, 262144, F4, 18) (dual of [262144, 262026, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(40, 9, F4, 0) (dual of [9, 9, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
Mode: Constructive and 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (117, 136, 29133)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (118, 137, 29137)-net over F4 | [i] | ||
| 3 | Digital (119, 138, 29138)-net over F4 | [i] | ||
| 4 | Digital (120, 139, 29142)-net over F4 | [i] | ||
| 5 | Digital (121, 140, 29143)-net over F4 | [i] | ||