Information on Result #951981
Linear OOA(344, 2191, F3, 3, 8) (dual of [(2191, 3), 6529, 9]-NRT-code), using OOA 3-folding based on linear OA(344, 6573, F3, 8) (dual of [6573, 6529, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(344, 6574, F3, 8) (dual of [6574, 6530, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(4) [i] based on
- linear OA(341, 6561, F3, 8) (dual of [6561, 6520, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(325, 6561, F3, 5) (dual of [6561, 6536, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
- construction X applied to Ce(7) ⊂ Ce(4) [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(3195, 2798392, F3, 3, 16) (dual of [(2798392, 3), 8394981, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3210, 2798392, F3, 3, 17) (dual of [(2798392, 3), 8394966, 18]-NRT-code) | [i] | ||