Information on Result #684734
Linear OA(798, 16845, F7, 21) (dual of [16845, 16747, 22]-code), using construction X applied to C([0,10]) ⊂ C([0,7]) based on
- linear OA(791, 16808, F7, 21) (dual of [16808, 16717, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 16808 | 710−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(761, 16808, F7, 15) (dual of [16808, 16747, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 16808 | 710−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(77, 37, F7, 5) (dual of [37, 30, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), using
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 OA(799, 16846, F7, 21) (dual of [16846, 16747, 22]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(7100, 16847, F7, 21) (dual of [16847, 16747, 22]-code) | [i] | ||
| 3 | Linear OA(7101, 16848, F7, 21) (dual of [16848, 16747, 22]-code) | [i] | ||
| 4 | Linear OA(7102, 16849, F7, 21) (dual of [16849, 16747, 22]-code) | [i] | ||
| 5 | Linear OOA(798, 8422, F7, 2, 21) (dual of [(8422, 2), 16746, 22]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(798, 5615, F7, 3, 21) (dual of [(5615, 3), 16747, 22]-NRT-code) | [i] | ||
| 7 | Linear OOA(798, 1684, F7, 21, 21) (dual of [(1684, 21), 35266, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |