Information on Result #873550
Linear OOA(4939, 1201, F49, 2, 20) (dual of [(1201, 2), 2363, 21]-NRT-code), using OOA 2-folding based on linear OA(4939, 2402, F49, 20) (dual of [2402, 2363, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(4939, 2403, F49, 20) (dual of [2403, 2364, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(18) [i] 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
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
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 OOA(4949, 1251, F49, 2, 20) (dual of [(1251, 2), 2453, 21]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(4950, 1252, F49, 2, 20) (dual of [(1252, 2), 2454, 21]-NRT-code) | [i] | ||
| 3 | Linear OOA(4951, 1253, F49, 2, 20) (dual of [(1253, 2), 2455, 21]-NRT-code) | [i] | ||
| 4 | Linear OOA(4952, 1254, F49, 2, 20) (dual of [(1254, 2), 2456, 21]-NRT-code) | [i] | ||
| 5 | Linear OOA(4953, 1255, F49, 2, 20) (dual of [(1255, 2), 2457, 21]-NRT-code) | [i] | ||
| 6 | Linear OOA(4954, 1301, F49, 2, 20) (dual of [(1301, 2), 2548, 21]-NRT-code) | [i] | ||
| 7 | Linear OOA(4955, 1302, F49, 2, 20) (dual of [(1302, 2), 2549, 21]-NRT-code) | [i] | ||