Information on Result #1193890
Digital (81, 96, 683285)-net over F9, using net defined by OOA based on linear OOA(996, 683285, F9, 15, 15) (dual of [(683285, 15), 10249179, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(996, 4782996, F9, 15) (dual of [4782996, 4782900, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(996, 4783001, F9, 15) (dual of [4783001, 4782905, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(10) [i] based on
- linear OA(992, 4782969, F9, 15) (dual of [4782969, 4782877, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(964, 4782969, F9, 11) (dual of [4782969, 4782905, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(94, 32, F9, 3) (dual of [32, 28, 4]-code or 32-cap in PG(3,9)), using
- construction X applied to Ce(14) ⊂ Ce(10) [i] based on
- discarding factors / shortening the dual code based on linear OA(996, 4783001, F9, 15) (dual of [4783001, 4782905, 16]-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, 97, 683285)-net over F9 | [i] | Net Duplication | |
| 2 | Digital (177, 192, 1366570)-net over F3 | [i] | Trace Code for Nets | |