Information on Result #698235
Linear OA(4948, 2406, F49, 24) (dual of [2406, 2358, 25]-code), using construction X applied to Ce(23) ⊂ Ce(21) based on
- linear OA(4947, 2401, F49, 24) (dual of [2401, 2354, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(4943, 2401, F49, 22) (dual of [2401, 2358, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(796, 4812, F7, 24) (dual of [4812, 4716, 25]-code) | [i] | Trace Code | |
| 2 | Linear OA(4954, 2457, F49, 24) (dual of [2457, 2403, 25]-code) | [i] | Varšamov–Edel Lengthening | |
| 3 | Linear OA(4955, 2536, F49, 24) (dual of [2536, 2481, 25]-code) | [i] | ||
| 4 | Linear OOA(4948, 1203, F49, 2, 24) (dual of [(1203, 2), 2358, 25]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(4948, 802, F49, 3, 24) (dual of [(802, 3), 2358, 25]-NRT-code) | [i] | ||