Information on Result #693443
Linear OA(2549, 15625, F25, 17) (dual of [15625, 15576, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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 OOA(2549, 7954, F25, 2, 17) (dual of [(7954, 2), 15859, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (32, 49, 7954)-net over F25 | [i] | ||
| 3 | Linear OA(2552, 15628, F25, 18) (dual of [15628, 15576, 19]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(2549, 15628, F25, 17) (dual of [15628, 15579, 18]-code) | [i] | ✔ | |
| 5 | Linear OA(2560, 15636, F25, 20) (dual of [15636, 15576, 21]-code) | [i] | ✔ | |
| 6 | Linear OA(2551, 15636, F25, 17) (dual of [15636, 15585, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(2568, 15644, F25, 22) (dual of [15644, 15576, 23]-code) | [i] | ✔ | |
| 8 | Linear OA(2553, 15644, F25, 17) (dual of [15644, 15591, 18]-code) | [i] | ✔ | |
| 9 | Linear OA(2576, 15651, F25, 24) (dual of [15651, 15575, 25]-code) | [i] | ✔ | |
| 10 | Linear OA(2577, 15653, F25, 24) (dual of [15653, 15576, 25]-code) | [i] | ✔ | |
| 11 | Linear OA(2555, 15651, F25, 17) (dual of [15651, 15596, 18]-code) | [i] | ✔ | |
| 12 | Linear OA(2556, 15653, F25, 17) (dual of [15653, 15597, 18]-code) | [i] | ✔ | |
| 13 | Linear OA(2584, 15660, F25, 26) (dual of [15660, 15576, 27]-code) | [i] | ✔ | |
| 14 | Linear OA(2588, 15664, F25, 27) (dual of [15664, 15576, 28]-code) | [i] | ✔ | |
| 15 | Linear OA(2592, 15668, F25, 28) (dual of [15668, 15576, 29]-code) | [i] | ✔ | |
| 16 | Linear OA(2596, 15672, F25, 29) (dual of [15672, 15576, 30]-code) | [i] | ✔ | |
| 17 | Linear OA(25100, 15676, F25, 30) (dual of [15676, 15576, 31]-code) | [i] | ✔ | |
| 18 | Linear OA(25105, 15681, F25, 31) (dual of [15681, 15576, 32]-code) | [i] | ✔ | |
| 19 | Linear OA(25109, 15685, F25, 32) (dual of [15685, 15576, 33]-code) | [i] | ✔ | |
| 20 | Linear OA(2583, 15657, F25, 26) (dual of [15657, 15574, 27]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 21 | Linear OA(2578, 15655, F25, 24) (dual of [15655, 15577, 25]-code) | [i] | ✔ | |
| 22 | Linear OOA(2549, 1953, F25, 17, 17) (dual of [(1953, 17), 33152, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |