Information on Result #1184818
Digital (143, 163, 53148)-net over F3, using net defined by OOA based on linear OOA(3163, 53148, F3, 20, 20) (dual of [(53148, 20), 1062797, 21]-NRT-code), using
- OA 10-folding and stacking [i] based on linear OA(3163, 531480, F3, 20) (dual of [531480, 531317, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(3163, 531483, F3, 20) (dual of [531483, 531320, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(15) [i] based on
- linear OA(3157, 531441, F3, 20) (dual of [531441, 531284, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(3121, 531441, F3, 16) (dual of [531441, 531320, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(36, 42, F3, 3) (dual of [42, 36, 4]-code or 42-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), using
- construction X applied to Ce(19) ⊂ Ce(15) [i] based on
- discarding factors / shortening the dual code based on linear OA(3163, 531483, F3, 20) (dual of [531483, 531320, 21]-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 (144, 164, 53148)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (145, 165, 53148)-net over F3 | [i] | ||
| 3 | Digital (146, 166, 53148)-net over F3 | [i] | ||