Information on Result #1186712
Digital (74, 92, 1821)-net over F4, using net defined by OOA based on linear OOA(492, 1821, F4, 18, 18) (dual of [(1821, 18), 32686, 19]-NRT-code), using
- OA 9-folding and stacking [i] based on linear OA(492, 16389, F4, 18) (dual of [16389, 16297, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(492, 16391, F4, 18) (dual of [16391, 16299, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- 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(485, 16384, F4, 17) (dual of [16384, 16299, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(17) ⊂ Ce(16) [i] based on
- discarding factors / shortening the dual code based on linear OA(492, 16391, F4, 18) (dual of [16391, 16299, 19]-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 (75, 93, 1821)-net over F4 | [i] | Net Duplication | |
| 2 | Digital (76, 94, 1821)-net over F4 | [i] | ||
| 3 | Digital (83, 101, 1826)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 4 | Digital (84, 102, 1830)-net over F4 | [i] | ||
| 5 | Digital (85, 103, 1831)-net over F4 | [i] | ||
| 6 | Digital (86, 104, 1835)-net over F4 | [i] | ||