Information on Result #1193690
Digital (68, 81, 797165)-net over F9, using net defined by OOA based on linear OOA(981, 797165, F9, 13, 13) (dual of [(797165, 13), 10363064, 14]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(981, 4782991, F9, 13) (dual of [4782991, 4782910, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(981, 4782993, F9, 13) (dual of [4782993, 4782912, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(9) [i] based on
- linear OA(978, 4782969, F9, 13) (dual of [4782969, 4782891, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- 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(93, 24, F9, 2) (dual of [24, 21, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(93, 80, F9, 2) (dual of [80, 77, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(93, 80, F9, 2) (dual of [80, 77, 3]-code), using
- construction X applied to Ce(12) ⊂ Ce(9) [i] based on
- discarding factors / shortening the dual code based on linear OA(981, 4782993, F9, 13) (dual of [4782993, 4782912, 14]-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 (69, 82, 797165)-net over F9 | [i] | Net Duplication | |
| 2 | Digital (70, 83, 797165)-net over F9 | [i] | ||