Information on Result #1186718
Digital (81, 99, 1824)-net over F4, using net defined by OOA based on linear OOA(499, 1824, F4, 18, 18) (dual of [(1824, 18), 32733, 19]-NRT-code), using
- OA 9-folding and stacking [i] based on linear OA(499, 16416, F4, 18) (dual of [16416, 16317, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(499, 16419, F4, 18) (dual of [16419, 16320, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(12) [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(464, 16384, F4, 13) (dual of [16384, 16320, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(47, 35, F4, 4) (dual of [35, 28, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(17) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(499, 16419, F4, 18) (dual of [16419, 16320, 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 (82, 100, 1824)-net over F4 | [i] | Net Duplication | |