Information on Result #616757
Linear OA(2528, 15625, F25, 10) (dual of [15625, 15597, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10
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(2533, 15651, F25, 10) (dual of [15651, 15618, 11]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2534, 15654, F25, 10) (dual of [15654, 15620, 11]-code) | [i] | ||
| 3 | Linear OA(2535, 16226, F25, 10) (dual of [16226, 16191, 11]-code) | [i] | ||
| 4 | Linear OA(2536, 15634, F25, 10) (dual of [15634, 15598, 11]-code) | [i] | Generalized (u, u+v)-Construction | |
| 5 | Linear OOA(2528, 8191, F25, 2, 10) (dual of [(8191, 2), 16354, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 6 | Digital (18, 28, 8191)-net over F25 | [i] | ||
| 7 | Linear OA(2535, 15633, F25, 10) (dual of [15633, 15598, 11]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 8 | Linear OA(2536, 15677, F25, 10) (dual of [15677, 15641, 11]-code) | [i] | ||
| 9 | Linear OA(2531, 15628, F25, 11) (dual of [15628, 15597, 12]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 10 | Linear OA(2528, 15628, F25, 10) (dual of [15628, 15600, 11]-code) | [i] | ✔ | |
| 11 | Linear OA(2535, 15632, F25, 12) (dual of [15632, 15597, 13]-code) | [i] | ✔ | |
| 12 | Linear OA(2529, 15632, F25, 10) (dual of [15632, 15603, 11]-code) | [i] | ✔ | |
| 13 | Linear OA(2539, 15636, F25, 13) (dual of [15636, 15597, 14]-code) | [i] | ✔ | |
| 14 | Linear OA(2530, 15636, F25, 10) (dual of [15636, 15606, 11]-code) | [i] | ✔ | |
| 15 | Linear OA(2543, 15640, F25, 14) (dual of [15640, 15597, 15]-code) | [i] | ✔ | |
| 16 | Linear OA(2531, 15640, F25, 10) (dual of [15640, 15609, 11]-code) | [i] | ✔ | |
| 17 | Linear OA(2547, 15644, F25, 15) (dual of [15644, 15597, 16]-code) | [i] | ✔ | |
| 18 | Linear OA(2532, 15644, F25, 10) (dual of [15644, 15612, 11]-code) | [i] | ✔ | |
| 19 | Linear OA(2551, 15648, F25, 16) (dual of [15648, 15597, 17]-code) | [i] | ✔ | |
| 20 | Linear OA(2555, 15651, F25, 17) (dual of [15651, 15596, 18]-code) | [i] | ✔ | |
| 21 | Linear OA(2556, 15653, F25, 17) (dual of [15653, 15597, 18]-code) | [i] | ✔ | |
| 22 | Linear OA(2561, 15656, F25, 18) (dual of [15656, 15595, 19]-code) | [i] | ✔ | |
| 23 | Linear OA(2562, 15659, F25, 18) (dual of [15659, 15597, 19]-code) | [i] | ✔ | |
| 24 | Linear OA(2566, 15663, F25, 19) (dual of [15663, 15597, 20]-code) | [i] | ✔ | |
| 25 | Linear OA(2570, 15667, F25, 20) (dual of [15667, 15597, 21]-code) | [i] | ✔ | |
| 26 | Linear OA(2560, 15655, F25, 18) (dual of [15655, 15595, 19]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 27 | Linear OOA(2528, 3125, F25, 10, 10) (dual of [(3125, 10), 31222, 11]-NRT-code) | [i] | OA Folding and Stacking | |