Information on Result #1100663
Linear OOA(344, 439, F3, 5, 10) (dual of [(439, 5), 2151, 11]-NRT-code), using OOA 5-folding based on linear OA(344, 2195, F3, 10) (dual of [2195, 2151, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(7) [i] based on
- linear OA(343, 2187, F3, 10) (dual of [2187, 2144, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(336, 2187, F3, 8) (dual of [2187, 2151, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(31, 8, F3, 1) (dual of [8, 7, 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(345, 439, F3, 5, 10) (dual of [(439, 5), 2150, 11]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3240, 1678159, F3, 5, 20) (dual of [(1678159, 5), 8390555, 21]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |