Information on Result #1192062
Digital (65, 83, 3644)-net over F8, using net defined by OOA based on linear OOA(883, 3644, F8, 18, 18) (dual of [(3644, 18), 65509, 19]-NRT-code), using
- OA 9-folding and stacking [i] based on linear OA(883, 32796, F8, 18) (dual of [32796, 32713, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(883, 32800, F8, 18) (dual of [32800, 32717, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(11) [i] based on
- linear OA(876, 32768, F8, 18) (dual of [32768, 32692, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(851, 32768, F8, 12) (dual of [32768, 32717, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(87, 32, F8, 5) (dual of [32, 25, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- construction X applied to Ce(17) ⊂ Ce(11) [i] based on
- discarding factors / shortening the dual code based on linear OA(883, 32800, F8, 18) (dual of [32800, 32717, 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 (66, 84, 3644)-net over F8 | [i] | Net Duplication | |