Information on Result #812663
Linear OOA(351, 29529, F3, 2, 8) (dual of [(29529, 2), 59007, 9]-NRT-code), using OOA 2-folding based on linear OA(351, 59058, F3, 8) (dual of [59058, 59007, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(351, 59059, F3, 8) (dual of [59059, 59008, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- 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(341, 59049, F3, 7) (dual of [59049, 59008, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(30, 10, F3, 0) (dual of [10, 10, 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(7) ⊂ Ce(6) [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(351, 29529, F3, 3, 8) (dual of [(29529, 3), 88536, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(351, 29529, F3, 4, 8) (dual of [(29529, 4), 118065, 9]-NRT-code) | [i] | ||
| 3 | Linear OOA(351, 29529, F3, 5, 8) (dual of [(29529, 5), 147594, 9]-NRT-code) | [i] | ||
| 4 | Digital (43, 51, 29529)-net over F3 | [i] | ||