Information on Result #698226
Linear OA(4917, 2403, F49, 9) (dual of [2403, 2386, 10]-code), using construction X applied to Ce(8) ⊂ Ce(7) based on
- linear OA(4917, 2401, F49, 9) (dual of [2401, 2384, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(4915, 2401, F49, 8) (dual of [2401, 2386, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(490, 2, F49, 0) (dual of [2, 2, 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
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(734, 4806, F7, 9) (dual of [4806, 4772, 10]-code) | [i] | Trace Code | |
| 2 | Linear OA(4921, 2453, F49, 9) (dual of [2453, 2432, 10]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(4922, 2456, F49, 9) (dual of [2456, 2434, 10]-code) | [i] | ||
| 4 | Linear OA(4923, 4755, F49, 9) (dual of [4755, 4732, 10]-code) | [i] | ||
| 5 | Linear OA(4919, 2410, F49, 9) (dual of [2410, 2391, 10]-code) | [i] | Varšamov–Edel Lengthening | |
| 6 | Linear OA(4920, 2444, F49, 9) (dual of [2444, 2424, 10]-code) | [i] | ||
| 7 | Linear OA(4921, 2662, F49, 9) (dual of [2662, 2641, 10]-code) | [i] | ||
| 8 | Linear OA(4922, 3590, F49, 9) (dual of [3590, 3568, 10]-code) | [i] | ||
| 9 | Linear OA(4923, 5685, F49, 9) (dual of [5685, 5662, 10]-code) | [i] | ||
| 10 | Linear OOA(4917, 801, F49, 3, 9) (dual of [(801, 3), 2386, 10]-NRT-code) | [i] | OOA Folding | |