Information on Result #698209
Linear OA(4939, 2403, F49, 20) (dual of [2403, 2364, 21]-code), using construction X applied to Ce(19) ⊂ Ce(18) based on
- 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 [i]
- linear OA(4937, 2401, F49, 19) (dual of [2401, 2364, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(778, 4806, F7, 20) (dual of [4806, 4728, 21]-code) | [i] | Trace Code | |
| 2 | Linear OA(4949, 2453, F49, 20) (dual of [2453, 2404, 21]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(4950, 2456, F49, 20) (dual of [2456, 2406, 21]-code) | [i] | ||
| 4 | Linear OA(4951, 2458, F49, 20) (dual of [2458, 2407, 21]-code) | [i] | ||
| 5 | Linear OA(4952, 2460, F49, 20) (dual of [2460, 2408, 21]-code) | [i] | ||
| 6 | Linear OA(4954, 2505, F49, 20) (dual of [2505, 2451, 21]-code) | [i] | ||
| 7 | Linear OA(4955, 2508, F49, 20) (dual of [2508, 2453, 21]-code) | [i] | ||
| 8 | Linear OA(4944, 2423, F49, 20) (dual of [2423, 2379, 21]-code) | [i] | Varšamov–Edel Lengthening | |
| 9 | Linear OA(4945, 2455, F49, 20) (dual of [2455, 2410, 21]-code) | [i] | ||
| 10 | Linear OA(4946, 2539, F49, 20) (dual of [2539, 2493, 21]-code) | [i] | ||
| 11 | Linear OA(4947, 2738, F49, 20) (dual of [2738, 2691, 21]-code) | [i] | ||
| 12 | Linear OA(4948, 3145, F49, 20) (dual of [3145, 3097, 21]-code) | [i] | ||
| 13 | Linear OA(4949, 3793, F49, 20) (dual of [3793, 3744, 21]-code) | [i] | ||
| 14 | Linear OA(4950, 4643, F49, 20) (dual of [4643, 4593, 21]-code) | [i] | ||
| 15 | Linear OOA(4939, 1201, F49, 2, 20) (dual of [(1201, 2), 2363, 21]-NRT-code) | [i] | OOA Folding | |
| 16 | Linear OOA(4939, 801, F49, 3, 20) (dual of [(801, 3), 2364, 21]-NRT-code) | [i] | ||