Information on Result #1183414
Digital (53, 64, 3938)-net over F3, using net defined by OOA based on linear OOA(364, 3938, F3, 11, 11) (dual of [(3938, 11), 43254, 12]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(364, 19691, F3, 11) (dual of [19691, 19627, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(364, 19692, F3, 11) (dual of [19692, 19628, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(364, 19683, F3, 11) (dual of [19683, 19619, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(355, 19683, F3, 10) (dual of [19683, 19628, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(30, 9, F3, 0) (dual of [9, 9, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- discarding factors / shortening the dual code based on linear OA(364, 19692, F3, 11) (dual of [19692, 19628, 12]-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 (54, 65, 3938)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (55, 66, 3938)-net over F3 | [i] | ||
| 3 | Digital (58, 69, 3942)-net over F3 | [i] | (u, u+v)-Construction for Nets | |
| 4 | Digital (59, 70, 3945)-net over F3 | [i] | ||