Information on Result #1215032
Digital (35, 42, 174829)-net over F8, using (u, u+v)-construction based on
- digital (1, 4, 65)-net over F8, using
- net defined by OOA [i] based on linear OOA(84, 65, F8, 3, 3) (dual of [(65, 3), 191, 4]-NRT-code), using
- digital (31, 38, 174764)-net over F8, using
- net defined by OOA [i] based on linear OOA(838, 174764, F8, 7, 7) (dual of [(174764, 7), 1223310, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(838, 524293, F8, 7) (dual of [524293, 524255, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(838, 524294, F8, 7) (dual of [524294, 524256, 8]-code), using
- trace code [i] based on linear OA(6419, 262147, F64, 7) (dual of [262147, 262128, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(6419, 262144, F64, 7) (dual of [262144, 262125, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(6416, 262144, F64, 6) (dual of [262144, 262128, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(640, 3, F64, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- trace code [i] based on linear OA(6419, 262147, F64, 7) (dual of [262147, 262128, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(838, 524294, F8, 7) (dual of [524294, 524256, 8]-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(838, 524293, F8, 7) (dual of [524293, 524255, 8]-code), using
- net defined by OOA [i] based on linear OOA(838, 174764, F8, 7, 7) (dual of [(174764, 7), 1223310, 8]-NRT-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 (134, 148, 2571571)-net over F8 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (141, 156, 2571571)-net over F8 | [i] | ||