Information on Result #698076
Linear OA(4926, 117657, F49, 9) (dual of [117657, 117631, 10]-code), using construction X applied to C([0,4]) ⊂ C([0,3]) based on
- linear OA(4925, 117650, F49, 9) (dual of [117650, 117625, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 117650 | 496−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(4919, 117650, F49, 7) (dual of [117650, 117631, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 117650 | 496−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(491, 7, F49, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(491, s, F49, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(4930, 117707, F49, 9) (dual of [117707, 117677, 10]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(4926, 76573, F49, 2, 9) (dual of [(76573, 2), 153120, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(4926, 76573, F49, 3, 9) (dual of [(76573, 3), 229693, 10]-NRT-code) | [i] | ||
| 4 | Digital (17, 26, 76573)-net over F49 | [i] | ||
| 5 | Linear OOA(4926, 58828, F49, 2, 9) (dual of [(58828, 2), 117630, 10]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(4926, 39219, F49, 3, 9) (dual of [(39219, 3), 117631, 10]-NRT-code) | [i] | ||
| 7 | Linear OOA(4926, 29414, F49, 9, 9) (dual of [(29414, 9), 264700, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |