Information on Result #616889
Linear OA(2561, 15626, F25, 21) (dual of [15626, 15565, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound)
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(2571, 15652, F25, 21) (dual of [15652, 15581, 22]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2572, 15655, F25, 21) (dual of [15655, 15583, 22]-code) | [i] | ||
| 3 | Linear OA(2573, 15657, F25, 21) (dual of [15657, 15584, 22]-code) | [i] | ||
| 4 | Linear OA(2574, 15678, F25, 21) (dual of [15678, 15604, 22]-code) | [i] | ||
| 5 | Linear OA(2575, 15692, F25, 21) (dual of [15692, 15617, 22]-code) | [i] | ||
| 6 | Linear OA(2576, 15694, F25, 21) (dual of [15694, 15618, 22]-code) | [i] | ||
| 7 | Linear OA(2577, 15696, F25, 21) (dual of [15696, 15619, 22]-code) | [i] | ||
| 8 | Linear OA(2578, 15730, F25, 21) (dual of [15730, 15652, 22]-code) | [i] | ||
| 9 | Linear OA(2579, 15834, F25, 21) (dual of [15834, 15755, 22]-code) | [i] | ||
| 10 | Linear OA(2580, 16251, F25, 21) (dual of [16251, 16171, 22]-code) | [i] | ||
| 11 | Linear OA(2580, 15647, F25, 21) (dual of [15647, 15567, 22]-code) | [i] | Generalized (u, u+v)-Construction | |
| 12 | Linear OA(2577, 15644, F25, 21) (dual of [15644, 15567, 22]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 13 | Linear OA(2578, 15678, F25, 21) (dual of [15678, 15600, 22]-code) | [i] | ||
| 14 | Linear OA(2579, 15681, F25, 21) (dual of [15681, 15602, 22]-code) | [i] | ||
| 15 | Linear OA(2580, 15684, F25, 21) (dual of [15684, 15604, 22]-code) | [i] | ||
| 16 | Linear OA(2571, 15637, F25, 21) (dual of [15637, 15566, 22]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 17 | Linear OA(2568, 15633, F25, 23) (dual of [15633, 15565, 24]-code) | [i] | ✔ | |
| 18 | Linear OA(2562, 15633, F25, 21) (dual of [15633, 15571, 22]-code) | [i] | ✔ | |
| 19 | Linear OA(2576, 15641, F25, 25) (dual of [15641, 15565, 26]-code) | [i] | ✔ | |
| 20 | Linear OA(2564, 15641, F25, 21) (dual of [15641, 15577, 22]-code) | [i] | ✔ | |
| 21 | Linear OA(2584, 15649, F25, 27) (dual of [15649, 15565, 28]-code) | [i] | ✔ | |
| 22 | Linear OA(2566, 15649, F25, 21) (dual of [15649, 15583, 22]-code) | [i] | ✔ | |
| 23 | Linear OA(2592, 15652, F25, 29) (dual of [15652, 15560, 30]-code) | [i] | ✔ | |
| 24 | Linear OA(2593, 15655, F25, 29) (dual of [15655, 15562, 30]-code) | [i] | ✔ | |
| 25 | Linear OA(2594, 15657, F25, 29) (dual of [15657, 15563, 30]-code) | [i] | ✔ | |
| 26 | Linear OA(2595, 15660, F25, 29) (dual of [15660, 15565, 30]-code) | [i] | ✔ | |
| 27 | Linear OA(2591, 15652, F25, 28) (dual of [15652, 15561, 29]-code) | [i] | ✔ | |
| 28 | Linear OA(2592, 15655, F25, 28) (dual of [15655, 15563, 29]-code) | [i] | ✔ | |
| 29 | Linear OA(2593, 15657, F25, 28) (dual of [15657, 15564, 29]-code) | [i] | ✔ | |
| 30 | Linear OA(2568, 15652, F25, 21) (dual of [15652, 15584, 22]-code) | [i] | ✔ | |
| 31 | Linear OA(2569, 15655, F25, 21) (dual of [15655, 15586, 22]-code) | [i] | ✔ | |
| 32 | Linear OA(2570, 15657, F25, 21) (dual of [15657, 15587, 22]-code) | [i] | ✔ | |
| 33 | Linear OA(2571, 15660, F25, 21) (dual of [15660, 15589, 22]-code) | [i] | ✔ | |
| 34 | Linear OA(2567, 15652, F25, 20) (dual of [15652, 15585, 21]-code) | [i] | ✔ | |
| 35 | Linear OA(2568, 15655, F25, 20) (dual of [15655, 15587, 21]-code) | [i] | ✔ | |
| 36 | Linear OA(2569, 15657, F25, 20) (dual of [15657, 15588, 21]-code) | [i] | ✔ | |
| 37 | Linear OA(25103, 15668, F25, 31) (dual of [15668, 15565, 32]-code) | [i] | ✔ | |
| 38 | Linear OA(2573, 15668, F25, 21) (dual of [15668, 15595, 22]-code) | [i] | ✔ | |