Information on Result #2485397
Linear OOA(358, 9848, F3, 2, 10) (dual of [(9848, 2), 19638, 11]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(356, 9847, F3, 2, 10) (dual of [(9847, 2), 19638, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(356, 19694, F3, 10) (dual of [19694, 19638, 11]-code), using
- construction X4 applied to Ce(9) ⊂ Ce(7) [i] based on
- linear OA(355, 19683, F3, 10) (dual of [19683, 19628, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(346, 19683, F3, 8) (dual of [19683, 19637, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(310, 11, F3, 10) (dual of [11, 1, 11]-code or 11-arc in PG(9,3)), using
- dual of repetition code with length 11 [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 X4 applied to Ce(9) ⊂ Ce(7) [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(358, 9848, F3, 3, 10) (dual of [(9848, 3), 29486, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(358, 9848, F3, 4, 10) (dual of [(9848, 4), 39334, 11]-NRT-code) | [i] | ||
| 3 | Linear OOA(358, 9848, F3, 5, 10) (dual of [(9848, 5), 49182, 11]-NRT-code) | [i] | ||
| 4 | Digital (48, 58, 9848)-net over F3 | [i] | ||