Information on Result #1185664
Digital (202, 237, 3475)-net over F3, using net defined by OOA based on linear OOA(3237, 3475, F3, 35, 35) (dual of [(3475, 35), 121388, 36]-NRT-code), using
- OOA 17-folding and stacking with additional row [i] based on linear OA(3237, 59076, F3, 35) (dual of [59076, 58839, 36]-code), using
- discarding factors / shortening the dual code based on linear OA(3237, 59085, F3, 35) (dual of [59085, 58848, 36]-code), using
- construction X applied to Ce(34) ⊂ Ce(30) [i] based on
- linear OA(3231, 59049, F3, 35) (dual of [59049, 58818, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(3201, 59049, F3, 31) (dual of [59049, 58848, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(36, 36, F3, 3) (dual of [36, 30, 4]-code or 36-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(34) ⊂ Ce(30) [i] based on
- discarding factors / shortening the dual code based on linear OA(3237, 59085, F3, 35) (dual of [59085, 58848, 36]-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 (203, 238, 3475)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (204, 239, 3475)-net over F3 | [i] | ||
| 3 | Digital (205, 240, 3475)-net over F3 | [i] | ||
| 4 | Digital (206, 241, 3475)-net over F3 | [i] | ||