Information on Result #1192726
Digital (133, 159, 161321)-net over F8, using net defined by OOA based on linear OOA(8159, 161321, F8, 26, 26) (dual of [(161321, 26), 4194187, 27]-NRT-code), using
- OA 13-folding and stacking [i] based on linear OA(8159, 2097173, F8, 26) (dual of [2097173, 2097014, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(8159, 2097177, F8, 26) (dual of [2097177, 2097018, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(21) [i] based on
- linear OA(8155, 2097152, F8, 26) (dual of [2097152, 2096997, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(8134, 2097152, F8, 22) (dual of [2097152, 2097018, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(84, 25, F8, 3) (dual of [25, 21, 4]-code or 25-cap in PG(3,8)), using
- construction X applied to Ce(25) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(8159, 2097177, F8, 26) (dual of [2097177, 2097018, 27]-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, 160, 161321)-net over F8 | [i] | Net Duplication | |