Information on Result #616858
Linear OA(2555, 15626, F25, 19) (dual of [15626, 15571, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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(2564, 15652, F25, 19) (dual of [15652, 15588, 20]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2565, 15655, F25, 19) (dual of [15655, 15590, 20]-code) | [i] | ||
| 3 | Linear OA(2566, 15657, F25, 19) (dual of [15657, 15591, 20]-code) | [i] | ||
| 4 | Linear OA(2567, 15678, F25, 19) (dual of [15678, 15611, 20]-code) | [i] | ||
| 5 | Linear OA(2568, 15692, F25, 19) (dual of [15692, 15624, 20]-code) | [i] | ||
| 6 | Linear OA(2569, 15694, F25, 19) (dual of [15694, 15625, 20]-code) | [i] | ||
| 7 | Linear OA(2570, 15730, F25, 19) (dual of [15730, 15660, 20]-code) | [i] | ||
| 8 | Linear OA(2571, 15834, F25, 19) (dual of [15834, 15763, 20]-code) | [i] | ||
| 9 | Linear OA(2572, 16252, F25, 19) (dual of [16252, 16180, 20]-code) | [i] | ||
| 10 | Linear OA(2572, 15646, F25, 19) (dual of [15646, 15574, 20]-code) | [i] | Generalized (u, u+v)-Construction | |
| 11 | Linear OA(2571, 15644, F25, 19) (dual of [15644, 15573, 20]-code) | [i] | ||
| 12 | Linear OA(2572, 15647, F25, 19) (dual of [15647, 15575, 20]-code) | [i] | ||
| 13 | Linear OA(2569, 15642, F25, 19) (dual of [15642, 15573, 20]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 14 | Linear OA(2570, 15678, F25, 19) (dual of [15678, 15608, 20]-code) | [i] | ||
| 15 | Linear OA(2571, 15681, F25, 19) (dual of [15681, 15610, 20]-code) | [i] | ||
| 16 | Linear OA(2572, 15684, F25, 19) (dual of [15684, 15612, 20]-code) | [i] | ||
| 17 | Linear OA(2564, 15636, F25, 19) (dual of [15636, 15572, 20]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 18 | Linear OA(2562, 15633, F25, 21) (dual of [15633, 15571, 22]-code) | [i] | ✔ | |
| 19 | Linear OA(2556, 15633, F25, 19) (dual of [15633, 15577, 20]-code) | [i] | ✔ | |
| 20 | Linear OA(2570, 15641, F25, 23) (dual of [15641, 15571, 24]-code) | [i] | ✔ | |
| 21 | Linear OA(2558, 15641, F25, 19) (dual of [15641, 15583, 20]-code) | [i] | ✔ | |
| 22 | Linear OA(2578, 15649, F25, 25) (dual of [15649, 15571, 26]-code) | [i] | ✔ | |
| 23 | Linear OA(2560, 15649, F25, 19) (dual of [15649, 15589, 20]-code) | [i] | ✔ | |
| 24 | Linear OA(2586, 15652, F25, 27) (dual of [15652, 15566, 28]-code) | [i] | ✔ | |
| 25 | Linear OA(2587, 15655, F25, 27) (dual of [15655, 15568, 28]-code) | [i] | ✔ | |
| 26 | Linear OA(2588, 15657, F25, 27) (dual of [15657, 15569, 28]-code) | [i] | ✔ | |
| 27 | Linear OA(2589, 15660, F25, 27) (dual of [15660, 15571, 28]-code) | [i] | ✔ | |
| 28 | Linear OA(2585, 15652, F25, 26) (dual of [15652, 15567, 27]-code) | [i] | ✔ | |
| 29 | Linear OA(2586, 15655, F25, 26) (dual of [15655, 15569, 27]-code) | [i] | ✔ | |
| 30 | Linear OA(2587, 15657, F25, 26) (dual of [15657, 15570, 27]-code) | [i] | ✔ | |
| 31 | Linear OA(2562, 15652, F25, 19) (dual of [15652, 15590, 20]-code) | [i] | ✔ | |
| 32 | Linear OA(2563, 15655, F25, 19) (dual of [15655, 15592, 20]-code) | [i] | ✔ | |
| 33 | Linear OA(2564, 15657, F25, 19) (dual of [15657, 15593, 20]-code) | [i] | ✔ | |
| 34 | Linear OA(2565, 15660, F25, 19) (dual of [15660, 15595, 20]-code) | [i] | ✔ | |
| 35 | Linear OA(2561, 15652, F25, 18) (dual of [15652, 15591, 19]-code) | [i] | ✔ | |
| 36 | Linear OA(2562, 15655, F25, 18) (dual of [15655, 15593, 19]-code) | [i] | ✔ | |
| 37 | Linear OA(2563, 15657, F25, 18) (dual of [15657, 15594, 19]-code) | [i] | ✔ | |
| 38 | Linear OA(2597, 15668, F25, 29) (dual of [15668, 15571, 30]-code) | [i] | ✔ | |
| 39 | Linear OA(25105, 15676, F25, 31) (dual of [15676, 15571, 32]-code) | [i] | ✔ | |