Information on Result #698218
Linear OA(4927, 2403, F49, 14) (dual of [2403, 2376, 15]-code), using construction X applied to Ce(13) ⊂ Ce(12) based on
- linear OA(4927, 2401, F49, 14) (dual of [2401, 2374, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(4925, 2401, F49, 13) (dual of [2401, 2376, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(754, 4806, F7, 14) (dual of [4806, 4752, 15]-code) | [i] | Trace Code | |
| 2 | Linear OA(4934, 2453, F49, 14) (dual of [2453, 2419, 15]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(4935, 2456, F49, 14) (dual of [2456, 2421, 15]-code) | [i] | ||
| 4 | Linear OA(4936, 2458, F49, 14) (dual of [2458, 2422, 15]-code) | [i] | ||
| 5 | Linear OA(4937, 2503, F49, 14) (dual of [2503, 2466, 15]-code) | [i] | ||
| 6 | Linear OA(4938, 2553, F49, 14) (dual of [2553, 2515, 15]-code) | [i] | ||
| 7 | Linear OA(4931, 2426, F49, 14) (dual of [2426, 2395, 15]-code) | [i] | Varšamov–Edel Lengthening | |
| 8 | Linear OA(4932, 2485, F49, 14) (dual of [2485, 2453, 15]-code) | [i] | ||
| 9 | Linear OA(4933, 2681, F49, 14) (dual of [2681, 2648, 15]-code) | [i] | ||
| 10 | Linear OA(4934, 3212, F49, 14) (dual of [3212, 3178, 15]-code) | [i] | ||
| 11 | Linear OA(4935, 4213, F49, 14) (dual of [4213, 4178, 15]-code) | [i] | ||
| 12 | Linear OA(4936, 5666, F49, 14) (dual of [5666, 5630, 15]-code) | [i] | ||
| 13 | Linear OOA(4927, 1201, F49, 2, 14) (dual of [(1201, 2), 2375, 15]-NRT-code) | [i] | OOA Folding | |
| 14 | Linear OOA(4927, 801, F49, 3, 14) (dual of [(801, 3), 2376, 15]-NRT-code) | [i] | ||