Information on Result #1021183
Linear OOA(383, 5592415, F3, 3, 6) (dual of [(5592415, 3), 16777162, 7]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(33, 13, F3, 3, 2) (dual of [(13, 3), 36, 3]-NRT-code), using
- appending 1 arbitrary column [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 1 arbitrary column [i] based on linear OOA(33, 13, F3, 2, 2) (dual of [(13, 2), 23, 3]-NRT-code), using
- linear OOA(320, 2796201, F3, 3, 3) (dual of [(2796201, 3), 8388583, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(320, 3713023, F3, 3, 3) (dual of [(3713023, 3), 11139049, 4]-NRT-code), using
- linear OOA(360, 2796201, F3, 3, 6) (dual of [(2796201, 3), 8388543, 7]-NRT-code), using
- OOA 3-folding [i] based on linear OA(360, large, F3, 6) (dual of [large, large−60, 7]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OOA 3-folding [i] based on linear OA(360, large, F3, 6) (dual of [large, large−60, 7]-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(383, 5592414, F3, 4, 6) (dual of [(5592414, 4), 22369573, 7]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(383, 5592414, F3, 5, 6) (dual of [(5592414, 5), 27961987, 7]-NRT-code) | [i] | ||