Information on Result #1191410
Digital (53, 64, 419431)-net over F8, using net defined by OOA based on linear OOA(864, 419431, F8, 11, 11) (dual of [(419431, 11), 4613677, 12]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(864, 2097156, F8, 11) (dual of [2097156, 2097092, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(864, 2097159, F8, 11) (dual of [2097159, 2097095, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(864, 2097152, F8, 11) (dual of [2097152, 2097088, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(857, 2097152, F8, 10) (dual of [2097152, 2097095, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(80, 7, F8, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 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(864, 2097159, F8, 11) (dual of [2097159, 2097095, 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, 419440)-net over F8 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (59, 70, 419445)-net over F8 | [i] | ||
| 3 | Digital (60, 71, 419459)-net over F8 | [i] | ||