Information on Result #616776
Linear OA(2534, 15625, F25, 12) (dual of [15625, 15591, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12
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(2540, 15651, F25, 12) (dual of [15651, 15611, 13]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2541, 15654, F25, 12) (dual of [15654, 15613, 13]-code) | [i] | ||
| 3 | Linear OA(2542, 15656, F25, 12) (dual of [15656, 15614, 13]-code) | [i] | ||
| 4 | Linear OA(2543, 15677, F25, 12) (dual of [15677, 15634, 13]-code) | [i] | ||
| 5 | Linear OA(2544, 15702, F25, 12) (dual of [15702, 15658, 13]-code) | [i] | ||
| 6 | Linear OA(2543, 15635, F25, 12) (dual of [15635, 15592, 13]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 7 | Linear OA(2544, 15677, F25, 12) (dual of [15677, 15633, 13]-code) | [i] | ||
| 8 | Linear OA(2537, 15628, F25, 13) (dual of [15628, 15591, 14]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(2534, 15628, F25, 12) (dual of [15628, 15594, 13]-code) | [i] | ✔ | |
| 10 | Linear OA(2541, 15632, F25, 14) (dual of [15632, 15591, 15]-code) | [i] | ✔ | |
| 11 | Linear OA(2535, 15632, F25, 12) (dual of [15632, 15597, 13]-code) | [i] | ✔ | |
| 12 | Linear OA(2545, 15636, F25, 15) (dual of [15636, 15591, 16]-code) | [i] | ✔ | |
| 13 | Linear OA(2536, 15636, F25, 12) (dual of [15636, 15600, 13]-code) | [i] | ✔ | |
| 14 | Linear OA(2549, 15640, F25, 16) (dual of [15640, 15591, 17]-code) | [i] | ✔ | |
| 15 | Linear OA(2537, 15640, F25, 12) (dual of [15640, 15603, 13]-code) | [i] | ✔ | |
| 16 | Linear OA(2553, 15644, F25, 17) (dual of [15644, 15591, 18]-code) | [i] | ✔ | |
| 17 | Linear OA(2538, 15644, F25, 12) (dual of [15644, 15606, 13]-code) | [i] | ✔ | |
| 18 | Linear OA(2557, 15648, F25, 18) (dual of [15648, 15591, 19]-code) | [i] | ✔ | |
| 19 | Linear OA(2539, 15648, F25, 12) (dual of [15648, 15609, 13]-code) | [i] | ✔ | |
| 20 | Linear OA(2561, 15651, F25, 19) (dual of [15651, 15590, 20]-code) | [i] | ✔ | |
| 21 | Linear OA(2562, 15653, F25, 19) (dual of [15653, 15591, 20]-code) | [i] | ✔ | |
| 22 | Linear OA(2567, 15656, F25, 20) (dual of [15656, 15589, 21]-code) | [i] | ✔ | |
| 23 | Linear OA(2568, 15659, F25, 20) (dual of [15659, 15591, 21]-code) | [i] | ✔ | |
| 24 | Linear OA(2572, 15663, F25, 21) (dual of [15663, 15591, 22]-code) | [i] | ✔ | |
| 25 | Linear OA(2576, 15667, F25, 22) (dual of [15667, 15591, 23]-code) | [i] | ✔ | |
| 26 | Linear OA(2580, 15671, F25, 23) (dual of [15671, 15591, 24]-code) | [i] | ✔ | |
| 27 | Linear OA(2584, 15675, F25, 24) (dual of [15675, 15591, 25]-code) | [i] | ✔ | |
| 28 | Linear OA(2566, 15655, F25, 20) (dual of [15655, 15589, 21]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 29 | Linear OOA(2534, 2604, F25, 12, 12) (dual of [(2604, 12), 31214, 13]-NRT-code) | [i] | OA Folding and Stacking | |