Information on Result #625170
Linear OA(496, 53, F49, 5) (dual of [53, 47, 6]-code), using construction for [s, s−6, 6]-code from [s, 3, s−3]-code based on linear OA(4950, 53, F49, 49) (dual of [53, 3, 50]-code), using
- construction X applied to C1 ⊂ C0 [i] based on
- linear OA(4949, 50, F49, 49) (dual of [50, 1, 50]-code or 50-arc in PG(48,49)), using code C1 for u = 2 by de Boer and Brouwer [i]
- linear OA(4947, 50, F49, 47) (dual of [50, 3, 48]-code or 50-arc in PG(46,49)), using code C0 for u = 2 by de Boer and Brouwer [i]
- linear OA(491, 3, F49, 1) (dual of [3, 2, 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(4918, 106, F49, 11) (dual of [106, 88, 12]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(4927, 2455, F49, 11) (dual of [2455, 2428, 12]-code) | [i] | ||
| 3 | Linear OA(4937, 117703, F49, 11) (dual of [117703, 117666, 12]-code) | [i] | ||
| 4 | Linear OA(4947, 5764855, F49, 11) (dual of [5764855, 5764808, 12]-code) | [i] | ||
| 5 | Linear OA(4925, 2454, F49, 10) (dual of [2454, 2429, 11]-code) | [i] | ||
| 6 | Linear OA(4934, 117702, F49, 10) (dual of [117702, 117668, 11]-code) | [i] | ||
| 7 | Linear OA(4943, 5764854, F49, 10) (dual of [5764854, 5764811, 11]-code) | [i] | ||
| 8 | Linear OA(4927, 2456, F49, 11) (dual of [2456, 2429, 12]-code) | [i] | ||
| 9 | Linear OA(4937, 117705, F49, 11) (dual of [117705, 117668, 12]-code) | [i] | ||
| 10 | Linear OA(4947, 5764858, F49, 11) (dual of [5764858, 5764811, 12]-code) | [i] | ||
| 11 | Linear OA(4925, 2456, F49, 10) (dual of [2456, 2431, 11]-code) | [i] | ||
| 12 | Linear OA(4934, 117705, F49, 10) (dual of [117705, 117671, 11]-code) | [i] | ||
| 13 | Linear OA(4943, 5764858, F49, 10) (dual of [5764858, 5764815, 11]-code) | [i] | ||
| 14 | Linear OA(4911, 2453, F49, 5) (dual of [2453, 2442, 6]-code) | [i] | Generalized (u, u+v)-Construction | |
| 15 | Linear OA(4940, 117753, F49, 11) (dual of [117753, 117713, 12]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 16 | Linear OA(4950, 5764905, F49, 11) (dual of [5764905, 5764855, 12]-code) | [i] | ||