Information on Result #812778
Linear OOA(362, 29530, F3, 2, 10) (dual of [(29530, 2), 58998, 11]-NRT-code), using OOA 2-folding based on linear OA(362, 59060, F3, 10) (dual of [59060, 58998, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(7) [i] based on
- linear OA(361, 59049, F3, 10) (dual of [59049, 58988, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(351, 59049, F3, 8) (dual of [59049, 58998, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [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
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(362, 20767, F3, 3, 10) (dual of [(20767, 3), 62239, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(362, 20767, F3, 4, 10) (dual of [(20767, 4), 83006, 11]-NRT-code) | [i] | ||
| 3 | Linear OOA(362, 20767, F3, 5, 10) (dual of [(20767, 5), 103773, 11]-NRT-code) | [i] | ||
| 4 | Digital (52, 62, 20767)-net over F3 | [i] | ||