Information on Result #1189456
Digital (92, 115, 1423)-net over F5, using net defined by OOA based on linear OOA(5115, 1423, F5, 23, 23) (dual of [(1423, 23), 32614, 24]-NRT-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(5115, 15654, F5, 23) (dual of [15654, 15539, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(5115, 15655, F5, 23) (dual of [15655, 15540, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(17) [i] based on
- linear OA(5109, 15625, F5, 23) (dual of [15625, 15516, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(585, 15625, F5, 18) (dual of [15625, 15540, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(56, 30, F5, 4) (dual of [30, 24, 5]-code), using
- construction X applied to Ce(22) ⊂ Ce(17) [i] based on
- discarding factors / shortening the dual code based on linear OA(5115, 15655, F5, 23) (dual of [15655, 15540, 24]-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 (93, 116, 1423)-net over F5 | [i] | Net Duplication | |
| 2 | Digital (94, 117, 1423)-net over F5 | [i] | ||
| 3 | Digital (95, 118, 1423)-net over F5 | [i] | ||