Information on Result #1189434
Digital (104, 126, 7105)-net over F5, using net defined by OOA based on linear OOA(5126, 7105, F5, 22, 22) (dual of [(7105, 22), 156184, 23]-NRT-code), using
- OA 11-folding and stacking [i] based on linear OA(5126, 78155, F5, 22) (dual of [78155, 78029, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(16) [i] based on
- linear OA(5120, 78125, F5, 22) (dual of [78125, 78005, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(592, 78125, F5, 17) (dual of [78125, 78033, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(56, 30, F5, 4) (dual of [30, 24, 5]-code), using
- construction X applied to Ce(21) ⊂ Ce(16) [i] based on
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 (105, 127, 7105)-net over F5 | [i] | Net Duplication | |
| 2 | Digital (106, 128, 7105)-net over F5 | [i] | ||