Information on Result #1185262
Digital (185, 210, 132861)-net over F3, using net defined by OOA based on linear OOA(3210, 132861, F3, 25, 25) (dual of [(132861, 25), 3321315, 26]-NRT-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(3210, 1594333, F3, 25) (dual of [1594333, 1594123, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(3210, 1594337, F3, 25) (dual of [1594337, 1594127, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(22) [i] based on
- linear OA(3209, 1594323, F3, 25) (dual of [1594323, 1594114, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(3196, 1594323, F3, 23) (dual of [1594323, 1594127, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(31, 14, F3, 1) (dual of [14, 13, 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(24) ⊂ Ce(22) [i] based on
- discarding factors / shortening the dual code based on linear OA(3210, 1594337, F3, 25) (dual of [1594337, 1594127, 26]-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 (186, 211, 132861)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (187, 212, 132861)-net over F3 | [i] | ||