Information on Result #954897
Linear OOA(3242, 19686, F3, 3, 37) (dual of [(19686, 3), 58816, 38]-NRT-code), using OOA 3-folding based on linear OA(3242, 59058, F3, 37) (dual of [59058, 58816, 38]-code), using
- discarding factors / shortening the dual code based on linear OA(3242, 59060, F3, 37) (dual of [59060, 58818, 38]-code), using
- construction X applied to Ce(36) ⊂ Ce(34) [i] based on
- linear OA(3241, 59049, F3, 37) (dual of [59049, 58808, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- 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(31, 11, F3, 1) (dual of [11, 10, 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(36) ⊂ Ce(34) [i] based on
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(3242, 18754, F3, 4, 37) (dual of [(18754, 4), 74774, 38]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3242, 18754, F3, 5, 37) (dual of [(18754, 5), 93528, 38]-NRT-code) | [i] | ||
| 3 | Digital (205, 242, 18754)-net over F3 | [i] | ||