Information on Result #1008827
Linear OOA(758, 3843202, F7, 3, 8) (dual of [(3843202, 3), 11529548, 9]-NRT-code), using trace code based on linear OOA(4929, 1921601, F49, 3, 8) (dual of [(1921601, 3), 5764774, 9]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4929, 5764803, F49, 8) (dual of [5764803, 5764774, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(4929, 5764805, F49, 8) (dual of [5764805, 5764776, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- linear OA(4929, 5764801, F49, 8) (dual of [5764801, 5764772, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(4925, 5764801, F49, 7) (dual of [5764801, 5764776, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(490, 4, F49, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(490, s, F49, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- discarding factors / shortening the dual code based on linear OA(4929, 5764805, F49, 8) (dual of [5764805, 5764776, 9]-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(759, 3843202, F7, 3, 8) (dual of [(3843202, 3), 11529547, 9]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(763, 3843215, F7, 3, 8) (dual of [(3843215, 3), 11529582, 9]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(764, 3843223, F7, 3, 8) (dual of [(3843223, 3), 11529605, 9]-NRT-code) | [i] | ||
| 4 | Linear OOA(765, 3843252, F7, 3, 8) (dual of [(3843252, 3), 11529691, 9]-NRT-code) | [i] | ||
| 5 | Linear OOA(766, 3843302, F7, 3, 8) (dual of [(3843302, 3), 11529840, 9]-NRT-code) | [i] | ||
| 6 | Linear OOA(768, 3843376, F7, 3, 8) (dual of [(3843376, 3), 11530060, 9]-NRT-code) | [i] | ||
| 7 | Linear OOA(769, 3844378, F7, 3, 8) (dual of [(3844378, 3), 11533065, 9]-NRT-code) | [i] | ||
| 8 | Linear OOA(770, 3845554, F7, 3, 8) (dual of [(3845554, 3), 11536592, 9]-NRT-code) | [i] | ||
| 9 | Linear OOA(783, 6725606, F7, 3, 8) (dual of [(6725606, 3), 20176735, 9]-NRT-code) | [i] | ||
| 10 | Linear OOA(784, 7686404, F7, 3, 8) (dual of [(7686404, 3), 23059128, 9]-NRT-code) | [i] | ||
| 11 | Linear OOA(792, 7686632, F7, 3, 8) (dual of [(7686632, 3), 23059804, 9]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 12 | Linear OOA(792, 7686828, F7, 3, 8) (dual of [(7686828, 3), 23060392, 9]-NRT-code) | [i] | ||
| 13 | Linear OOA(790, 7686477, F7, 3, 8) (dual of [(7686477, 3), 23059341, 9]-NRT-code) | [i] | ||
| 14 | Linear OOA(791, 7686575, F7, 3, 8) (dual of [(7686575, 3), 23059634, 9]-NRT-code) | [i] | ||
| 15 | Linear OOA(791, 7686820, F7, 3, 8) (dual of [(7686820, 3), 23060369, 9]-NRT-code) | [i] | ||
| 16 | Linear OOA(789, 7686469, F7, 3, 8) (dual of [(7686469, 3), 23059318, 9]-NRT-code) | [i] | ||
| 17 | Linear OOA(790, 7686518, F7, 3, 8) (dual of [(7686518, 3), 23059464, 9]-NRT-code) | [i] | ||
| 18 | Linear OOA(790, 7686812, F7, 3, 8) (dual of [(7686812, 3), 23060346, 9]-NRT-code) | [i] | ||
| 19 | Linear OOA(787, 7686461, F7, 3, 8) (dual of [(7686461, 3), 23059296, 9]-NRT-code) | [i] | ||
| 20 | Linear OOA(788, 7686804, F7, 3, 8) (dual of [(7686804, 3), 23060324, 9]-NRT-code) | [i] | ||