Information on Result #894873
Linear OOA(351, 4194422, F3, 2, 5) (dual of [(4194422, 2), 8388793, 6]-NRT-code), using (u, u+v)-construction based on
- linear OOA(35, 121, F3, 2, 2) (dual of [(121, 2), 237, 3]-NRT-code), using
- appending kth column [i] based on linear OA(35, 121, F3, 2) (dual of [121, 116, 3]-code), using
- Hamming code H(5,3) [i]
- appending kth column [i] based on linear OA(35, 121, F3, 2) (dual of [121, 116, 3]-code), using
- linear OOA(346, 4194301, F3, 2, 5) (dual of [(4194301, 2), 8388556, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(346, 8388602, F3, 5) (dual of [8388602, 8388556, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(346, large, F3, 5) (dual of [large, large−46, 6]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,4], and designed minimum distance d ≥ |I|+1 = 6 [i]
- discarding factors / shortening the dual code based on linear OA(346, large, F3, 5) (dual of [large, large−46, 6]-code), using
- OOA 2-folding [i] based on linear OA(346, 8388602, F3, 5) (dual of [8388602, 8388556, 6]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(351, 4194421, F3, 3, 5) (dual of [(4194421, 3), 12583212, 6]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(351, 4194421, F3, 4, 5) (dual of [(4194421, 4), 16777633, 6]-NRT-code) | [i] | ||
| 3 | Linear OOA(351, 4194421, F3, 5, 5) (dual of [(4194421, 5), 20972054, 6]-NRT-code) | [i] | ||