Information on Result #1185600
Digital (218, 249, 35432)-net over F3, using net defined by OOA based on linear OOA(3249, 35432, F3, 31, 31) (dual of [(35432, 31), 1098143, 32]-NRT-code), using
- OOA 15-folding and stacking with additional row [i] based on linear OA(3249, 531481, F3, 31) (dual of [531481, 531232, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(3249, 531482, F3, 31) (dual of [531482, 531233, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(25) [i] based on
- linear OA(3241, 531441, F3, 31) (dual of [531441, 531200, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(3205, 531441, F3, 26) (dual of [531441, 531236, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(38, 41, F3, 4) (dual of [41, 33, 5]-code), using
- the narrow-sense BCH-code C(I) with length 41 | 38−1, defining interval I = [1,1], and minimum distance d ≥ |{−3,−1,1,3}|+1 = 5 (BCH-bound) [i]
- construction X applied to Ce(30) ⊂ Ce(25) [i] based on
- discarding factors / shortening the dual code based on linear OA(3249, 531482, F3, 31) (dual of [531482, 531233, 32]-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 (219, 249, 35432)-net over F3 | [i] | t-Expansion | |
| 2 | Digital (219, 250, 35432)-net over F3 | [i] | Net Duplication | |
| 3 | Digital (218, 248, 35432)-net over F3 | [i] | m-Reduction | |