Information on Result #616796
Linear OA(2540, 15625, F25, 14) (dual of [15625, 15585, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14
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(2547, 15651, F25, 14) (dual of [15651, 15604, 15]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2548, 15654, F25, 14) (dual of [15654, 15606, 15]-code) | [i] | ||
| 3 | Linear OA(2549, 15656, F25, 14) (dual of [15656, 15607, 15]-code) | [i] | ||
| 4 | Linear OA(2550, 15677, F25, 14) (dual of [15677, 15627, 15]-code) | [i] | ||
| 5 | Linear OA(2551, 15703, F25, 14) (dual of [15703, 15652, 15]-code) | [i] | ||
| 6 | Linear OA(2551, 15637, F25, 14) (dual of [15637, 15586, 15]-code) | [i] | Generalized (u, u+v)-Construction | |
| 7 | Linear OA(2552, 15640, F25, 14) (dual of [15640, 15588, 15]-code) | [i] | ||
| 8 | Linear OA(2549, 15635, F25, 14) (dual of [15635, 15586, 15]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 9 | Linear OA(2550, 15637, F25, 14) (dual of [15637, 15587, 15]-code) | [i] | ||
| 10 | Linear OA(2551, 15677, F25, 14) (dual of [15677, 15626, 15]-code) | [i] | ||
| 11 | Linear OA(2552, 15680, F25, 14) (dual of [15680, 15628, 15]-code) | [i] | ||
| 12 | Linear OA(2543, 15628, F25, 15) (dual of [15628, 15585, 16]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 13 | Linear OA(2540, 15628, F25, 14) (dual of [15628, 15588, 15]-code) | [i] | ✔ | |
| 14 | Linear OA(2547, 15632, F25, 16) (dual of [15632, 15585, 17]-code) | [i] | ✔ | |
| 15 | Linear OA(2541, 15632, F25, 14) (dual of [15632, 15591, 15]-code) | [i] | ✔ | |
| 16 | Linear OA(2551, 15636, F25, 17) (dual of [15636, 15585, 18]-code) | [i] | ✔ | |
| 17 | Linear OA(2542, 15636, F25, 14) (dual of [15636, 15594, 15]-code) | [i] | ✔ | |
| 18 | Linear OA(2555, 15640, F25, 18) (dual of [15640, 15585, 19]-code) | [i] | ✔ | |
| 19 | Linear OA(2543, 15640, F25, 14) (dual of [15640, 15597, 15]-code) | [i] | ✔ | |
| 20 | Linear OA(2559, 15644, F25, 19) (dual of [15644, 15585, 20]-code) | [i] | ✔ | |
| 21 | Linear OA(2544, 15644, F25, 14) (dual of [15644, 15600, 15]-code) | [i] | ✔ | |
| 22 | Linear OA(2563, 15648, F25, 20) (dual of [15648, 15585, 21]-code) | [i] | ✔ | |
| 23 | Linear OA(2545, 15648, F25, 14) (dual of [15648, 15603, 15]-code) | [i] | ✔ | |
| 24 | Linear OA(2567, 15651, F25, 21) (dual of [15651, 15584, 22]-code) | [i] | ✔ | |
| 25 | Linear OA(2568, 15653, F25, 21) (dual of [15653, 15585, 22]-code) | [i] | ✔ | |
| 26 | Linear OA(2546, 15651, F25, 14) (dual of [15651, 15605, 15]-code) | [i] | ✔ | |
| 27 | Linear OA(2547, 15653, F25, 14) (dual of [15653, 15606, 15]-code) | [i] | ✔ | |
| 28 | Linear OA(2573, 15656, F25, 22) (dual of [15656, 15583, 23]-code) | [i] | ✔ | |
| 29 | Linear OA(2574, 15659, F25, 22) (dual of [15659, 15585, 23]-code) | [i] | ✔ | |
| 30 | Linear OA(2578, 15663, F25, 23) (dual of [15663, 15585, 24]-code) | [i] | ✔ | |
| 31 | Linear OA(2582, 15667, F25, 24) (dual of [15667, 15585, 25]-code) | [i] | ✔ | |
| 32 | Linear OA(2587, 15672, F25, 26) (dual of [15672, 15585, 27]-code) | [i] | ✔ | |
| 33 | Linear OA(2591, 15676, F25, 27) (dual of [15676, 15585, 28]-code) | [i] | ✔ | |
| 34 | Linear OA(2596, 15681, F25, 28) (dual of [15681, 15585, 29]-code) | [i] | ✔ | |
| 35 | Linear OA(2572, 15655, F25, 22) (dual of [15655, 15583, 23]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 36 | Linear OA(2548, 15655, F25, 14) (dual of [15655, 15607, 15]-code) | [i] | ✔ | |
| 37 | Linear OOA(2540, 2232, F25, 14, 14) (dual of [(2232, 14), 31208, 15]-NRT-code) | [i] | OA Folding and Stacking | |