Information on Result #1184558
Digital (152, 170, 531444)-net over F3, using net defined by OOA based on linear OOA(3170, 531444, F3, 18, 18) (dual of [(531444, 18), 9565822, 19]-NRT-code), using
- OA 9-folding and stacking [i] based on linear OA(3170, 4782996, F3, 18) (dual of [4782996, 4782826, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(3170, 4782998, F3, 18) (dual of [4782998, 4782828, 19]-code), using
- construction X applied to Ce(18) ⊂ Ce(15) [i] based on
- linear OA(3169, 4782969, F3, 19) (dual of [4782969, 4782800, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- 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(31, 29, F3, 1) (dual of [29, 28, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(18) ⊂ Ce(15) [i] based on
- discarding factors / shortening the dual code based on linear OA(3170, 4782998, F3, 18) (dual of [4782998, 4782828, 19]-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 (153, 171, 531444)-net over F3 | [i] | Net Duplication | |