Information on Result #951983
Linear OOA(346, 6564, F3, 3, 8) (dual of [(6564, 3), 19646, 9]-NRT-code), using OOA 3-folding 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
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(347, 6564, F3, 3, 8) (dual of [(6564, 3), 19645, 9]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3197, 2802765, F3, 3, 16) (dual of [(2802765, 3), 8408098, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |