Information on Result #1101077
Linear OOA(3141, 956596, F3, 5, 15) (dual of [(956596, 5), 4782839, 16]-NRT-code), using OOA 5-folding based on linear OA(3141, 4782980, F3, 15) (dual of [4782980, 4782839, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(3141, 4782984, F3, 15) (dual of [4782984, 4782843, 16]-code), using
- construction X4 applied to C([1,15]) ⊂ C([1,13]) [i] based on
- linear OA(3140, 4782968, F3, 15) (dual of [4782968, 4782828, 16]-code), using the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(3126, 4782968, F3, 13) (dual of [4782968, 4782842, 14]-code), using the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(315, 16, F3, 15) (dual of [16, 1, 16]-code or 16-arc in PG(14,3)), using
- dual of repetition code with length 16 [i]
- linear OA(31, 16, F3, 1) (dual of [16, 15, 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([1,15]) ⊂ C([1,13]) [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(3198, 1913192, F3, 5, 15) (dual of [(1913192, 5), 9565762, 16]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |