Information on Result #698238
Linear OA(4936, 2406, F49, 18) (dual of [2406, 2370, 19]-code), using construction X applied to Ce(17) ⊂ Ce(15) 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(4931, 2401, F49, 16) (dual of [2401, 2370, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(491, 5, F49, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(491, s, F49, 1) (dual of [s, s−1, 2]-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(772, 4812, F7, 18) (dual of [4812, 4740, 19]-code) | [i] | Trace Code | |
| 2 | Linear OA(4946, 2459, F49, 18) (dual of [2459, 2413, 19]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(4947, 2461, F49, 18) (dual of [2461, 2414, 19]-code) | [i] | ||
| 4 | Linear OOA(4936, 1203, F49, 2, 18) (dual of [(1203, 2), 2370, 19]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(4936, 802, F49, 3, 18) (dual of [(802, 3), 2370, 19]-NRT-code) | [i] | ||