Information on Result #606393
Linear OA(2520, 25, F25, 20) (dual of [25, 5, 21]-code or 25-arc in PG(19,25)), using Reed–Solomon code RS(5,25)
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(2572, 77, F25, 65) (dual of [77, 5, 66]-code) | [i] | Juxtaposition | |
| 2 | Linear OA(2586, 91, F25, 78) (dual of [91, 5, 79]-code) | [i] | ||
| 3 | Linear OA(2586, 90, F25, 79) (dual of [90, 4, 80]-code) | [i] | ||
| 4 | Linear OA(2576, 81, F25, 69) (dual of [81, 5, 70]-code) | [i] | ||
| 5 | Linear OA(2576, 80, F25, 70) (dual of [80, 4, 71]-code) | [i] | ||
| 6 | Linear OA(2592, 96, F25, 84) (dual of [96, 4, 85]-code) | [i] | ||
| 7 | Linear OA(2556, 59, F25, 53) (dual of [59, 3, 54]-code) | [i] | ||
| 8 | Linear OA(565, 75, F5, 41) (dual of [75, 10, 42]-code) | [i] | Concatenation of Two Codes | |
| 9 | Linear OA(564, 72, F5, 41) (dual of [72, 8, 42]-code) | [i] | ||
| 10 | Linear OA(590, 100, F5, 62) (dual of [100, 10, 63]-code) | [i] | ||
| 11 | Linear OA(5115, 125, F5, 83) (dual of [125, 10, 84]-code) | [i] | ||
| 12 | Linear OA(5140, 150, F5, 104) (dual of [150, 10, 105]-code) | [i] | ||
| 13 | Linear OA(5136, 144, F5, 104) (dual of [144, 8, 105]-code) | [i] | ||
| 14 | Linear OA(5132, 138, F5, 104) (dual of [138, 6, 105]-code) | [i] | ||
| 15 | Linear OA(2523, 28, F25, 22) (dual of [28, 5, 23]-code) | [i] | ✔ | Construction X with Reed–Solomon Codes |
| 16 | Linear OA(2521, 28, F25, 20) (dual of [28, 7, 21]-code) | [i] | ✔ | |
| 17 | Linear OA(2525, 30, F25, 23) (dual of [30, 5, 24]-code) | [i] | ✔ | |
| 18 | Linear OA(2522, 30, F25, 20) (dual of [30, 8, 21]-code) | [i] | ✔ | |