Information on Result #1193340
Digital (51, 61, 956598)-net over F9, using net defined by OOA based on linear OOA(961, 956598, F9, 10, 10) (dual of [(956598, 10), 9565919, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(961, 4782990, F9, 10) (dual of [4782990, 4782929, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(961, 4782994, F9, 10) (dual of [4782994, 4782933, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(5) [i] based on
- linear OA(957, 4782969, F9, 10) (dual of [4782969, 4782912, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(936, 4782969, F9, 6) (dual of [4782969, 4782933, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(94, 25, F9, 3) (dual of [25, 21, 4]-code or 25-cap in PG(3,9)), using
- construction X applied to Ce(9) ⊂ Ce(5) [i] based on
- discarding factors / shortening the dual code based on linear OA(961, 4782994, F9, 10) (dual of [4782994, 4782933, 11]-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 (112, 122, 1913196)-net over F3 | [i] | Trace Code for Nets | |