Information on Result #1190180
Digital (53, 64, 164709)-net over F7, using net defined by OOA based on linear OOA(764, 164709, F7, 11, 11) (dual of [(164709, 11), 1811735, 12]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(764, 823546, F7, 11) (dual of [823546, 823482, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(764, 823550, F7, 11) (dual of [823550, 823486, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(764, 823543, F7, 11) (dual of [823543, 823479, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(757, 823543, F7, 10) (dual of [823543, 823486, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(70, 7, F7, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 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(764, 823550, F7, 11) (dual of [823550, 823486, 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 (58, 69, 164717)-net over F7 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (59, 70, 164722)-net over F7 | [i] | ||
| 3 | Digital (60, 71, 164730)-net over F7 | [i] | ||
| 4 | Digital (61, 72, 164737)-net over F7 | [i] | ||