Information on Result #618603
Linear OA(4939, 2401, F49, 20) (dual of [2401, 2362, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20
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(778, 4802, F7, 20) (dual of [4802, 4724, 21]-code) | [i] | Trace Code | |
| 2 | Linear OA(4949, 2451, F49, 20) (dual of [2451, 2402, 21]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(4950, 2454, F49, 20) (dual of [2454, 2404, 21]-code) | [i] | ||
| 4 | Linear OA(4951, 2456, F49, 20) (dual of [2456, 2405, 21]-code) | [i] | ||
| 5 | Linear OA(4952, 2458, F49, 20) (dual of [2458, 2406, 21]-code) | [i] | ||
| 6 | Linear OA(4953, 2460, F49, 20) (dual of [2460, 2407, 21]-code) | [i] | ||
| 7 | Linear OA(4954, 2501, F49, 20) (dual of [2501, 2447, 21]-code) | [i] | ||
| 8 | Linear OA(4955, 2504, F49, 20) (dual of [2504, 2449, 21]-code) | [i] | ||
| 9 | Linear OA(4952, 2415, F49, 20) (dual of [2415, 2363, 21]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 10 | Linear OA(4953, 2417, F49, 20) (dual of [2417, 2364, 21]-code) | [i] | ||
| 11 | Linear OA(4954, 2419, F49, 20) (dual of [2419, 2365, 21]-code) | [i] | ||
| 12 | Linear OA(4955, 2501, F49, 20) (dual of [2501, 2446, 21]-code) | [i] | ||
| 13 | Linear OA(4941, 2403, F49, 21) (dual of [2403, 2362, 22]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 14 | Linear OA(4939, 2403, F49, 20) (dual of [2403, 2364, 21]-code) | [i] | ✔ | |
| 15 | Linear OA(4944, 2406, F49, 22) (dual of [2406, 2362, 23]-code) | [i] | ✔ | |
| 16 | Linear OA(4940, 2406, F49, 20) (dual of [2406, 2366, 21]-code) | [i] | ✔ | |
| 17 | Linear OA(4947, 2409, F49, 23) (dual of [2409, 2362, 24]-code) | [i] | ✔ | |
| 18 | Linear OA(4941, 2409, F49, 20) (dual of [2409, 2368, 21]-code) | [i] | ✔ | |
| 19 | Linear OA(4950, 2412, F49, 24) (dual of [2412, 2362, 25]-code) | [i] | ✔ | |
| 20 | Linear OA(4942, 2412, F49, 20) (dual of [2412, 2370, 21]-code) | [i] | ✔ | |
| 21 | Linear OA(4953, 2415, F49, 25) (dual of [2415, 2362, 26]-code) | [i] | ✔ | |
| 22 | Linear OA(4943, 2415, F49, 20) (dual of [2415, 2372, 21]-code) | [i] | ✔ | |
| 23 | Linear OA(4944, 2418, F49, 20) (dual of [2418, 2374, 21]-code) | [i] | ✔ | |
| 24 | Linear OA(4945, 2421, F49, 20) (dual of [2421, 2376, 21]-code) | [i] | ✔ | |
| 25 | Linear OA(4946, 2424, F49, 20) (dual of [2424, 2378, 21]-code) | [i] | ✔ | |
| 26 | Linear OA(4947, 2427, F49, 20) (dual of [2427, 2380, 21]-code) | [i] | ✔ | |
| 27 | Linear OA(4948, 2430, F49, 20) (dual of [2430, 2382, 21]-code) | [i] | ✔ | |
| 28 | Linear OOA(4939, 240, F49, 20, 20) (dual of [(240, 20), 4761, 21]-NRT-code) | [i] | OA Folding and Stacking | |