Information on Result #698324
Linear OA(4943, 2427, F49, 18) (dual of [2427, 2384, 19]-code), using construction X applied to Ce(17) ⊂ Ce(8) 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(4917, 2401, F49, 9) (dual of [2401, 2384, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(498, 26, F49, 8) (dual of [26, 18, 9]-code or 26-arc in PG(7,49)), using
- discarding factors / shortening the dual code based on linear OA(498, 49, F49, 8) (dual of [49, 41, 9]-code or 49-arc in PG(7,49)), using
- Reed–Solomon code RS(41,49) [i]
- discarding factors / shortening the dual code based on linear OA(498, 49, F49, 8) (dual of [49, 41, 9]-code or 49-arc in PG(7,49)), 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 OOA(4943, 1213, F49, 2, 18) (dual of [(1213, 2), 2383, 19]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4943, 809, F49, 3, 18) (dual of [(809, 3), 2384, 19]-NRT-code) | [i] | ||