Information on Result #812713
Linear OOA(349, 3285, F3, 2, 9) (dual of [(3285, 2), 6521, 10]-NRT-code), using OOA 2-folding based on linear OA(349, 6570, F3, 9) (dual of [6570, 6521, 10]-code), using
- construction X4 applied to C([1,9]) ⊂ C([1,7]) [i] based on
- linear OA(348, 6560, F3, 9) (dual of [6560, 6512, 10]-code), using the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(340, 6560, F3, 7) (dual of [6560, 6520, 8]-code), using the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(39, 10, F3, 9) (dual of [10, 1, 10]-code or 10-arc in PG(8,3)), using
- dual of repetition code with length 10 [i]
- linear OA(31, 10, F3, 1) (dual of [10, 9, 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(349, 3285, F3, 3, 9) (dual of [(3285, 3), 9806, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(349, 3285, F3, 4, 9) (dual of [(3285, 4), 13091, 10]-NRT-code) | [i] | ||
| 3 | Linear OOA(349, 3285, F3, 5, 9) (dual of [(3285, 5), 16376, 10]-NRT-code) | [i] | ||
| 4 | Digital (40, 49, 3285)-net over F3 | [i] | ||