Information on Result #1194330
Digital (92, 113, 53146)-net over F9, using net defined by OOA based on linear OOA(9113, 53146, F9, 21, 21) (dual of [(53146, 21), 1115953, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(9113, 531461, F9, 21) (dual of [531461, 531348, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(9113, 531463, F9, 21) (dual of [531463, 531350, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(16) [i] based on
- linear OA(9109, 531441, F9, 21) (dual of [531441, 531332, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(991, 531441, F9, 17) (dual of [531441, 531350, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(94, 22, F9, 3) (dual of [22, 18, 4]-code or 22-cap in PG(3,9)), using
- construction X applied to Ce(20) ⊂ Ce(16) [i] based on
- discarding factors / shortening the dual code based on linear OA(9113, 531463, F9, 21) (dual of [531463, 531350, 22]-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, 114, 53146)-net over F9 | [i] | Net Duplication | |