Information on Result #618490
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
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(4919, 2451, F49, 8) (dual of [2451, 2432, 9]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(4920, 2454, F49, 8) (dual of [2454, 2434, 9]-code) | [i] | ||
| 3 | Linear OA(4917, 2403, F49, 9) (dual of [2403, 2386, 10]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(4915, 2403, F49, 8) (dual of [2403, 2388, 9]-code) | [i] | ✔ | |
| 5 | Linear OA(4920, 2406, F49, 10) (dual of [2406, 2386, 11]-code) | [i] | ✔ | |
| 6 | Linear OA(4916, 2406, F49, 8) (dual of [2406, 2390, 9]-code) | [i] | ✔ | |
| 7 | Linear OA(4923, 2409, F49, 11) (dual of [2409, 2386, 12]-code) | [i] | ✔ | |
| 8 | Linear OA(4917, 2409, F49, 8) (dual of [2409, 2392, 9]-code) | [i] | ✔ | |
| 9 | Linear OA(4926, 2412, F49, 12) (dual of [2412, 2386, 13]-code) | [i] | ✔ | |
| 10 | Linear OA(4918, 2412, F49, 8) (dual of [2412, 2394, 9]-code) | [i] | ✔ | |
| 11 | Linear OA(4929, 2415, F49, 13) (dual of [2415, 2386, 14]-code) | [i] | ✔ | |
| 12 | Linear OA(4932, 2418, F49, 14) (dual of [2418, 2386, 15]-code) | [i] | ✔ | |
| 13 | Linear OA(4935, 2421, F49, 15) (dual of [2421, 2386, 16]-code) | [i] | ✔ | |
| 14 | Linear OA(4938, 2424, F49, 16) (dual of [2424, 2386, 17]-code) | [i] | ✔ | |
| 15 | Linear OOA(4915, 600, F49, 8, 8) (dual of [(600, 8), 4785, 9]-NRT-code) | [i] | OA Folding and Stacking | |