Information on Result #698230
Linear OA(4911, 2403, F49, 6) (dual of [2403, 2392, 7]-code), using construction X applied to Ce(5) ⊂ Ce(4) based on
- linear OA(4911, 2401, F49, 6) (dual of [2401, 2390, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(499, 2401, F49, 5) (dual of [2401, 2392, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [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(722, 4806, F7, 6) (dual of [4806, 4784, 7]-code) | [i] | Trace Code | |
| 2 | Linear OA(4948, 120055, F49, 13) (dual of [120055, 120007, 14]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(4914, 2453, F49, 6) (dual of [2453, 2439, 7]-code) | [i] | ||
| 4 | Linear OA(4913, 2450, F49, 6) (dual of [2450, 2437, 7]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OA(4914, 3253, F49, 6) (dual of [3253, 3239, 7]-code) | [i] | ||
| 6 | Linear OOA(4911, 1201, F49, 2, 6) (dual of [(1201, 2), 2391, 7]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(4911, 801, F49, 3, 6) (dual of [(801, 3), 2392, 7]-NRT-code) | [i] | ||
| 8 | Linear OOA(4911, 801, F49, 6, 6) (dual of [(801, 6), 4795, 7]-NRT-code) | [i] | OA Folding and Stacking | |