Information on Result #616845
Linear OA(2552, 15625, F25, 18) (dual of [15625, 15573, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18
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(2561, 15651, F25, 18) (dual of [15651, 15590, 19]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2562, 15654, F25, 18) (dual of [15654, 15592, 19]-code) | [i] | ||
| 3 | Linear OA(2563, 15656, F25, 18) (dual of [15656, 15593, 19]-code) | [i] | ||
| 4 | Linear OA(2564, 15677, F25, 18) (dual of [15677, 15613, 19]-code) | [i] | ||
| 5 | Linear OA(2565, 15691, F25, 18) (dual of [15691, 15626, 19]-code) | [i] | ||
| 6 | Linear OA(2566, 15693, F25, 18) (dual of [15693, 15627, 19]-code) | [i] | ||
| 7 | Linear OA(2567, 15729, F25, 18) (dual of [15729, 15662, 19]-code) | [i] | ||
| 8 | Linear OA(2568, 15833, F25, 18) (dual of [15833, 15765, 19]-code) | [i] | ||
| 9 | Linear OA(2567, 15641, F25, 18) (dual of [15641, 15574, 19]-code) | [i] | Generalized (u, u+v)-Construction | |
| 10 | Linear OA(2566, 15640, F25, 18) (dual of [15640, 15574, 19]-code) | [i] | ||
| 11 | Linear OA(2568, 15643, F25, 18) (dual of [15643, 15575, 19]-code) | [i] | ||
| 12 | Linear OOA(2552, 8088, F25, 2, 18) (dual of [(8088, 2), 16124, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 13 | Digital (34, 52, 8088)-net over F25 | [i] | ||
| 14 | Linear OA(2565, 15639, F25, 18) (dual of [15639, 15574, 19]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 15 | Linear OA(2566, 15641, F25, 18) (dual of [15641, 15575, 19]-code) | [i] | ||
| 16 | Linear OA(2567, 15677, F25, 18) (dual of [15677, 15610, 19]-code) | [i] | ||
| 17 | Linear OA(2568, 15680, F25, 18) (dual of [15680, 15612, 19]-code) | [i] | ||
| 18 | Linear OA(2555, 15628, F25, 19) (dual of [15628, 15573, 20]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 19 | Linear OA(2552, 15628, F25, 18) (dual of [15628, 15576, 19]-code) | [i] | ✔ | |
| 20 | Linear OA(2559, 15632, F25, 20) (dual of [15632, 15573, 21]-code) | [i] | ✔ | |
| 21 | Linear OA(2553, 15632, F25, 18) (dual of [15632, 15579, 19]-code) | [i] | ✔ | |
| 22 | Linear OA(2563, 15636, F25, 21) (dual of [15636, 15573, 22]-code) | [i] | ✔ | |
| 23 | Linear OA(2554, 15636, F25, 18) (dual of [15636, 15582, 19]-code) | [i] | ✔ | |
| 24 | Linear OA(2567, 15640, F25, 22) (dual of [15640, 15573, 23]-code) | [i] | ✔ | |
| 25 | Linear OA(2555, 15640, F25, 18) (dual of [15640, 15585, 19]-code) | [i] | ✔ | |
| 26 | Linear OA(2571, 15644, F25, 23) (dual of [15644, 15573, 24]-code) | [i] | ✔ | |
| 27 | Linear OA(2556, 15644, F25, 18) (dual of [15644, 15588, 19]-code) | [i] | ✔ | |
| 28 | Linear OA(2575, 15648, F25, 24) (dual of [15648, 15573, 25]-code) | [i] | ✔ | |
| 29 | Linear OA(2557, 15648, F25, 18) (dual of [15648, 15591, 19]-code) | [i] | ✔ | |
| 30 | Linear OA(2580, 15651, F25, 26) (dual of [15651, 15571, 27]-code) | [i] | ✔ | |
| 31 | Linear OA(2581, 15654, F25, 26) (dual of [15654, 15573, 27]-code) | [i] | ✔ | |
| 32 | Linear OA(2579, 15651, F25, 25) (dual of [15651, 15572, 26]-code) | [i] | ✔ | |
| 33 | Linear OA(2558, 15651, F25, 18) (dual of [15651, 15593, 19]-code) | [i] | ✔ | |
| 34 | Linear OA(2559, 15653, F25, 18) (dual of [15653, 15594, 19]-code) | [i] | ✔ | |
| 35 | Linear OA(2587, 15660, F25, 27) (dual of [15660, 15573, 28]-code) | [i] | ✔ | |
| 36 | Linear OA(2561, 15656, F25, 18) (dual of [15656, 15595, 19]-code) | [i] | ✔ | |
| 37 | Linear OA(2562, 15659, F25, 18) (dual of [15659, 15597, 19]-code) | [i] | ✔ | |
| 38 | Linear OA(2591, 15664, F25, 28) (dual of [15664, 15573, 29]-code) | [i] | ✔ | |
| 39 | Linear OA(2563, 15663, F25, 18) (dual of [15663, 15600, 19]-code) | [i] | ✔ | |
| 40 | Linear OA(2595, 15668, F25, 29) (dual of [15668, 15573, 30]-code) | [i] | ✔ | |
| 41 | Linear OA(2599, 15672, F25, 30) (dual of [15672, 15573, 31]-code) | [i] | ✔ | |
| 42 | Linear OA(25103, 15676, F25, 31) (dual of [15676, 15573, 32]-code) | [i] | ✔ | |
| 43 | Linear OA(25108, 15681, F25, 32) (dual of [15681, 15573, 33]-code) | [i] | ✔ | |
| 44 | Linear OA(2586, 15657, F25, 27) (dual of [15657, 15571, 28]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 45 | Linear OA(2583, 15657, F25, 26) (dual of [15657, 15574, 27]-code) | [i] | ✔ | |
| 46 | Linear OA(2560, 15655, F25, 18) (dual of [15655, 15595, 19]-code) | [i] | ✔ | |
| 47 | Linear OOA(2552, 1736, F25, 18, 18) (dual of [(1736, 18), 31196, 19]-NRT-code) | [i] | OA Folding and Stacking | |