Information on Result #1186810
Digital (80, 99, 1821)-net over F4, using net defined by OOA based on linear OOA(499, 1821, F4, 19, 19) (dual of [(1821, 19), 34500, 20]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(499, 16390, F4, 19) (dual of [16390, 16291, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(499, 16391, F4, 19) (dual of [16391, 16292, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(499, 16384, F4, 19) (dual of [16384, 16285, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(492, 16384, F4, 18) (dual of [16384, 16292, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(40, 7, F4, 0) (dual of [7, 7, 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
- discarding factors / shortening the dual code based on linear OA(499, 16391, F4, 19) (dual of [16391, 16292, 20]-code), using
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 (89, 108, 1826)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (90, 109, 1830)-net over F4 | [i] | ||
| 3 | Digital (91, 110, 1831)-net over F4 | [i] | ||
| 4 | Digital (92, 111, 1835)-net over F4 | [i] | ||