Information on Result #617060
Linear OA(2591, 15625, F25, 32) (dual of [15625, 15534, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32
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(25107, 15651, F25, 32) (dual of [15651, 15544, 33]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(25108, 15654, F25, 32) (dual of [15654, 15546, 33]-code) | [i] | ||
| 3 | Linear OA(25109, 15656, F25, 32) (dual of [15656, 15547, 33]-code) | [i] | ||
| 4 | Linear OA(25110, 15677, F25, 32) (dual of [15677, 15567, 33]-code) | [i] | ||
| 5 | Linear OOA(2591, 7826, F25, 2, 32) (dual of [(7826, 2), 15561, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 6 | Digital (59, 91, 7826)-net over F25 | [i] | ||
| 7 | Linear OA(2594, 15628, F25, 33) (dual of [15628, 15534, 34]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 8 | Linear OA(2591, 15628, F25, 32) (dual of [15628, 15537, 33]-code) | [i] | ✔ | |
| 9 | Linear OA(2598, 15632, F25, 34) (dual of [15632, 15534, 35]-code) | [i] | ✔ | |
| 10 | Linear OA(2592, 15632, F25, 32) (dual of [15632, 15540, 33]-code) | [i] | ✔ | |
| 11 | Linear OA(25102, 15636, F25, 35) (dual of [15636, 15534, 36]-code) | [i] | ✔ | |
| 12 | Linear OA(2593, 15636, F25, 32) (dual of [15636, 15543, 33]-code) | [i] | ✔ | |
| 13 | Linear OA(25106, 15640, F25, 36) (dual of [15640, 15534, 37]-code) | [i] | ✔ | |
| 14 | Linear OA(2594, 15640, F25, 32) (dual of [15640, 15546, 33]-code) | [i] | ✔ | |
| 15 | Linear OA(25110, 15644, F25, 37) (dual of [15644, 15534, 38]-code) | [i] | ✔ | |
| 16 | Linear OA(2595, 15644, F25, 32) (dual of [15644, 15549, 33]-code) | [i] | ✔ | |
| 17 | Linear OA(2596, 15648, F25, 32) (dual of [15648, 15552, 33]-code) | [i] | ✔ | |
| 18 | Linear OA(2598, 15651, F25, 32) (dual of [15651, 15553, 33]-code) | [i] | ✔ | |
| 19 | Linear OA(2599, 15654, F25, 32) (dual of [15654, 15555, 33]-code) | [i] | ✔ | |
| 20 | Linear OA(25102, 15660, F25, 32) (dual of [15660, 15558, 33]-code) | [i] | ✔ | |
| 21 | Linear OA(25103, 15664, F25, 32) (dual of [15664, 15561, 33]-code) | [i] | ✔ | |
| 22 | Linear OA(25104, 15668, F25, 32) (dual of [15668, 15564, 33]-code) | [i] | ✔ | |
| 23 | Linear OA(25105, 15672, F25, 32) (dual of [15672, 15567, 33]-code) | [i] | ✔ | |
| 24 | Linear OA(25106, 15676, F25, 32) (dual of [15676, 15570, 33]-code) | [i] | ✔ | |
| 25 | Linear OA(25108, 15681, F25, 32) (dual of [15681, 15573, 33]-code) | [i] | ✔ | |
| 26 | Linear OA(25109, 15685, F25, 32) (dual of [15685, 15576, 33]-code) | [i] | ✔ | |
| 27 | Linear OA(25110, 15689, F25, 32) (dual of [15689, 15579, 33]-code) | [i] | ✔ | |
| 28 | Linear OA(25101, 15657, F25, 32) (dual of [15657, 15556, 33]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 29 | Linear OOA(2591, 976, F25, 32, 32) (dual of [(976, 32), 31141, 33]-NRT-code) | [i] | OA Folding and Stacking | |