Information on Result #1184222
Digital (129, 145, 597875)-net over F3, using net defined by OOA based on linear OOA(3145, 597875, F3, 16, 16) (dual of [(597875, 16), 9565855, 17]-NRT-code), using
- OA 8-folding and stacking [i] based on linear OA(3145, 4783000, F3, 16) (dual of [4783000, 4782855, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(3145, 4783001, F3, 16) (dual of [4783001, 4782856, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(12) [i] based on
- linear OA(3141, 4782969, F3, 16) (dual of [4782969, 4782828, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(3113, 4782969, F3, 13) (dual of [4782969, 4782856, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(34, 32, F3, 2) (dual of [32, 28, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- construction X applied to Ce(15) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(3145, 4783001, F3, 16) (dual of [4783001, 4782856, 17]-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 (130, 146, 597875)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (131, 147, 597875)-net over F3 | [i] | ||
| 3 | Digital (132, 148, 597875)-net over F3 | [i] | ||