Information on Result #1189454
Digital (90, 113, 1422)-net over F5, using net defined by OOA based on linear OOA(5113, 1422, F5, 23, 23) (dual of [(1422, 23), 32593, 24]-NRT-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(5113, 15643, F5, 23) (dual of [15643, 15530, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(5113, 15647, F5, 23) (dual of [15647, 15534, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(18) [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(591, 15625, F5, 19) (dual of [15625, 15534, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(54, 22, F5, 3) (dual of [22, 18, 4]-code or 22-cap in PG(3,5)), using
- construction X applied to Ce(22) ⊂ Ce(18) [i] based on
- discarding factors / shortening the dual code based on linear OA(5113, 15647, F5, 23) (dual of [15647, 15534, 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 (91, 114, 1422)-net over F5 | [i] | Net Duplication | |