Information on Result #1094625
Linear OOA(358, 1594333, F3, 5, 6) (dual of [(1594333, 5), 7971607, 7]-NRT-code), using OA 3-folding and stacking based on linear OA(358, 4782999, F3, 6) (dual of [4782999, 4782941, 7]-code), using
- construction X4 applied to Ce(6) ⊂ Ce(3) [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(329, 4782969, F3, 4) (dual of [4782969, 4782940, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(329, 30, F3, 29) (dual of [30, 1, 30]-code or 30-arc in PG(28,3)), using
- dual of repetition code with length 30 [i]
- linear OA(31, 30, F3, 1) (dual of [30, 29, 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, 1594333, F3, 5, 6) (dual of [(1594333, 5), 7971606, 7]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3178, 3272053, F3, 5, 12) (dual of [(3272053, 5), 16360087, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(3220, 4390534, F3, 5, 12) (dual of [(4390534, 5), 21952450, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(3179, 3272053, F3, 5, 13) (dual of [(3272053, 5), 16360086, 14]-NRT-code) | [i] | ||
| 5 | Linear OOA(3235, 4866376, F3, 5, 13) (dual of [(4866376, 5), 24331645, 14]-NRT-code) | [i] | ||
| 6 | Linear OOA(3236, 4866381, F3, 5, 13) (dual of [(4866381, 5), 24331669, 14]-NRT-code) | [i] | ||
| 7 | Linear OOA(3207, 4866386, F3, 5, 13) (dual of [(4866386, 5), 24331723, 14]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 8 | Linear OOA(3206, 4866386, F3, 5, 12) (dual of [(4866386, 5), 24331724, 13]-NRT-code) | [i] | ||
| 9 | Linear OOA(358, 1594333, F3, 6, 6) (dual of [(1594333, 6), 9565940, 7]-NRT-code) | [i] | Appending kth Column | |