Information on Result #1080823
Linear OOA(349, 4194314, F3, 4, 5) (dual of [(4194314, 4), 16777207, 6]-NRT-code), using (u, u+v)-construction based on
- linear OOA(33, 13, F3, 4, 2) (dual of [(13, 4), 49, 3]-NRT-code), using
- appending 2 arbitrary columns [i] based on linear OOA(33, 13, F3, 2, 2) (dual of [(13, 2), 23, 3]-NRT-code), using
- appending kth column [i] based on linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
- appending kth column [i] based on linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- appending 2 arbitrary columns [i] based on linear OOA(33, 13, F3, 2, 2) (dual of [(13, 2), 23, 3]-NRT-code), using
- linear OOA(346, 4194301, F3, 4, 5) (dual of [(4194301, 4), 16777158, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] 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]
- OOA 2-folding and stacking with additional row [i] based on linear OA(346, large, F3, 5) (dual of [large, large−46, 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(349, 4194314, F3, 5, 5) (dual of [(4194314, 5), 20971521, 6]-NRT-code) | [i] | Appending kth Column | |