Information on Result #1117027
Linear OOA(350, 4927, F3, 5, 8) (dual of [(4927, 5), 24585, 9]-NRT-code), using (u, u+v)-construction based on
- linear OOA(34, 4, F3, 5, 4) (dual of [(4, 5), 16, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(5;16,3) [i]
- linear OOA(346, 4923, F3, 5, 8) (dual of [(4923, 5), 24569, 9]-NRT-code), using
- OA 4-folding and stacking [i] based on linear OA(346, 19692, F3, 8) (dual of [19692, 19646, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- linear OA(346, 19683, F3, 8) (dual of [19683, 19637, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- 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(30, 9, F3, 0) (dual of [9, 9, 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 X applied to Ce(7) ⊂ Ce(6) [i] based on
- OA 4-folding and stacking [i] based on linear OA(346, 19692, F3, 8) (dual of [19692, 19646, 9]-code), 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(3201, 1682647, F3, 5, 16) (dual of [(1682647, 5), 8413034, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3216, 1682647, F3, 5, 17) (dual of [(1682647, 5), 8413019, 18]-NRT-code) | [i] | ||