Information on Result #698212
Linear OA(4935, 2403, F49, 18) (dual of [2403, 2368, 19]-code), using construction X applied to Ce(17) ⊂ Ce(16) based on
- linear OA(4935, 2401, F49, 18) (dual of [2401, 2366, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(4933, 2401, F49, 17) (dual of [2401, 2368, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(770, 4806, F7, 18) (dual of [4806, 4736, 19]-code) | [i] | Trace Code | |
| 2 | Linear OA(4944, 2453, F49, 18) (dual of [2453, 2409, 19]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(4945, 2456, F49, 18) (dual of [2456, 2411, 19]-code) | [i] | ||
| 4 | Linear OA(4946, 2458, F49, 18) (dual of [2458, 2412, 19]-code) | [i] | ||
| 5 | Linear OA(4947, 2460, F49, 18) (dual of [2460, 2413, 19]-code) | [i] | ||
| 6 | Linear OA(4948, 2503, F49, 18) (dual of [2503, 2455, 19]-code) | [i] | ||
| 7 | Linear OA(4949, 2506, F49, 18) (dual of [2506, 2457, 19]-code) | [i] | ||
| 8 | Linear OA(4950, 2603, F49, 18) (dual of [2603, 2553, 19]-code) | [i] | ||
| 9 | Linear OA(4940, 2428, F49, 18) (dual of [2428, 2388, 19]-code) | [i] | Varšamov–Edel Lengthening | |
| 10 | Linear OA(4941, 2481, F49, 18) (dual of [2481, 2440, 19]-code) | [i] | ||
| 11 | Linear OA(4942, 2627, F49, 18) (dual of [2627, 2585, 19]-code) | [i] | ||
| 12 | Linear OA(4943, 2963, F49, 18) (dual of [2963, 2920, 19]-code) | [i] | ||
| 13 | Linear OA(4944, 3579, F49, 18) (dual of [3579, 3535, 19]-code) | [i] | ||
| 14 | Linear OA(4945, 4466, F49, 18) (dual of [4466, 4421, 19]-code) | [i] | ||
| 15 | Linear OA(4946, 5609, F49, 18) (dual of [5609, 5563, 19]-code) | [i] | ||
| 16 | Linear OOA(4935, 1201, F49, 2, 18) (dual of [(1201, 2), 2367, 19]-NRT-code) | [i] | OOA Folding | |
| 17 | Linear OOA(4935, 801, F49, 3, 18) (dual of [(801, 3), 2368, 19]-NRT-code) | [i] | ||
| 18 | Linear OOA(4935, 267, F49, 18, 18) (dual of [(267, 18), 4771, 19]-NRT-code) | [i] | OA Folding and Stacking | |