Information on Result #1193336
Digital (48, 58, 956595)-net over F9, using net defined by OOA based on linear OOA(958, 956595, F9, 10, 10) (dual of [(956595, 10), 9565892, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(958, 4782975, F9, 10) (dual of [4782975, 4782917, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(958, 4782977, F9, 10) (dual of [4782977, 4782919, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(7) [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(950, 4782969, F9, 8) (dual of [4782969, 4782919, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(91, 8, F9, 1) (dual of [8, 7, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(9) ⊂ Ce(7) [i] based on
- discarding factors / shortening the dual code based on linear OA(958, 4782977, F9, 10) (dual of [4782977, 4782919, 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 (49, 59, 956595)-net over F9 | [i] | Net Duplication | |
| 2 | Digital (106, 116, 1913190)-net over F3 | [i] | Trace Code for Nets | |