Information on Result #1191278
Digital (28, 38, 1639)-net over F8, using net defined by OOA based on linear OOA(838, 1639, F8, 10, 10) (dual of [(1639, 10), 16352, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(838, 8195, F8, 10) (dual of [8195, 8157, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(838, 8196, F8, 10) (dual of [8196, 8158, 11]-code), using
- trace code [i] based on linear OA(6419, 4098, F64, 10) (dual of [4098, 4079, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- linear OA(6419, 4096, F64, 10) (dual of [4096, 4077, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(6417, 4096, F64, 9) (dual of [4096, 4079, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(640, 2, F64, 0) (dual of [2, 2, 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(9) ⊂ Ce(8) [i] based on
- trace code [i] based on linear OA(6419, 4098, F64, 10) (dual of [4098, 4079, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(838, 8196, F8, 10) (dual of [8196, 8158, 11]-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 (29, 39, 1639)-net over F8 | [i] | Net Duplication | |