Information on Result #1094673
Linear OOA(340, 6565, F3, 5, 7) (dual of [(6565, 5), 32785, 8]-NRT-code), using OOA 3-folding and stacking with additional row based on linear OA(340, 19696, F3, 7) (dual of [19696, 19656, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(340, 19697, F3, 7) (dual of [19697, 19657, 8]-code), using
- construction XX applied to Ce(6) ⊂ Ce(4) ⊂ Ce(3) [i] based on
- linear OA(337, 19683, F3, 7) (dual of [19683, 19646, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(328, 19683, F3, 5) (dual of [19683, 19655, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(319, 19683, F3, 4) (dual of [19683, 19664, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [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
- linear OA(30, 2, F3, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction XX applied to Ce(6) ⊂ Ce(4) ⊂ Ce(3) [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(3176, 1684285, F3, 5, 14) (dual of [(1684285, 5), 8421249, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3190, 1684285, F3, 5, 15) (dual of [(1684285, 5), 8421235, 16]-NRT-code) | [i] | ||