Information on Result #2485544
Linear OOA(367, 9848, F3, 2, 11) (dual of [(9848, 2), 19629, 12]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(365, 9847, F3, 2, 11) (dual of [(9847, 2), 19629, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OA(365, 19694, F3, 11) (dual of [19694, 19629, 12]-code), using
- construction X4 applied to C([0,10]) ⊂ C([1,9]) [i] based on
- linear OA(364, 19682, F3, 11) (dual of [19682, 19618, 12]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(354, 19682, F3, 9) (dual of [19682, 19628, 10]-code), using 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(311, 12, F3, 11) (dual of [12, 1, 12]-code or 12-arc in PG(10,3)), using
- dual of repetition code with length 12 [i]
- linear OA(31, 12, F3, 1) (dual of [12, 11, 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 C([0,10]) ⊂ C([1,9]) [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(367, 9848, F3, 3, 11) (dual of [(9848, 3), 29477, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(367, 9848, F3, 4, 11) (dual of [(9848, 4), 39325, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(367, 9848, F3, 5, 11) (dual of [(9848, 5), 49173, 12]-NRT-code) | [i] | ||
| 4 | Digital (56, 67, 9848)-net over F3 | [i] | ||