Information on Result #1094686
Linear OOA(358, 1594328, F3, 5, 7) (dual of [(1594328, 5), 7971582, 8]-NRT-code), using OOA 3-folding and stacking with additional row based on linear OA(358, 4782985, F3, 7) (dual of [4782985, 4782927, 8]-code), using
- construction X4 applied to Ce(6) ⊂ Ce(4) [i] based on
- linear OA(357, 4782969, F3, 7) (dual of [4782969, 4782912, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(343, 4782969, F3, 5) (dual of [4782969, 4782926, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [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
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(359, 1594328, F3, 5, 7) (dual of [(1594328, 5), 7971581, 8]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(360, 1594328, F3, 5, 7) (dual of [(1594328, 5), 7971580, 8]-NRT-code) | [i] | ||
| 3 | Linear OOA(378, 3188656, F3, 5, 7) (dual of [(3188656, 5), 15943202, 8]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(3194, 3272048, F3, 5, 14) (dual of [(3272048, 5), 16360046, 15]-NRT-code) | [i] | ||
| 5 | Linear OOA(3208, 3272048, F3, 5, 15) (dual of [(3272048, 5), 16360032, 16]-NRT-code) | [i] | ||
| 6 | Linear OOA(3221, 4866370, F3, 5, 14) (dual of [(4866370, 5), 24331629, 15]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(3222, 4866376, F3, 5, 14) (dual of [(4866376, 5), 24331658, 15]-NRT-code) | [i] | ||