Information on Result #1766435
Digital (158, 181, 132863)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3181, 132863, F3, 4, 23) (dual of [(132863, 4), 531271, 24]-NRT-code), using
- OOA 4-folding [i] based on linear OA(3181, 531452, F3, 23) (dual of [531452, 531271, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(3181, 531453, F3, 23) (dual of [531453, 531272, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(3181, 531441, F3, 23) (dual of [531441, 531260, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(3169, 531441, F3, 22) (dual of [531441, 531272, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(30, 12, F3, 0) (dual of [12, 12, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(3181, 531453, F3, 23) (dual of [531453, 531272, 24]-code), using
Mode: 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 (159, 182, 132863)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (160, 183, 132863)-net over F3 | [i] | ||