Information on Result #1061796
Linear OOA(3241, 132863, F3, 4, 30) (dual of [(132863, 4), 531211, 31]-NRT-code), using OOA 4-folding based on linear OA(3241, 531452, F3, 30) (dual of [531452, 531211, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(3241, 531453, F3, 30) (dual of [531453, 531212, 31]-code), using
- 1 times truncation [i] based on linear OA(3242, 531454, F3, 31) (dual of [531454, 531212, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(28) [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(3229, 531441, F3, 29) (dual of [531441, 531212, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(31, 13, F3, 1) (dual of [13, 12, 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(30) ⊂ Ce(28) [i] based on
- 1 times truncation [i] based on linear OA(3242, 531454, F3, 31) (dual of [531454, 531212, 32]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3241, 132863, F3, 5, 30) (dual of [(132863, 5), 664074, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (211, 241, 132863)-net over F3 | [i] | ||