Information on Result #616951
Linear OA(2573, 15626, F25, 25) (dual of [15626, 15553, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound)
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 OOA(2573, 9330, F25, 2, 25) (dual of [(9330, 2), 18587, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (48, 73, 9330)-net over F25 | [i] | ||
| 3 | Linear OA(2585, 15639, F25, 25) (dual of [15639, 15554, 26]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 4 | Linear OA(2580, 15633, F25, 27) (dual of [15633, 15553, 28]-code) | [i] | ✔ | |
| 5 | Linear OA(2574, 15633, F25, 25) (dual of [15633, 15559, 26]-code) | [i] | ✔ | |
| 6 | Linear OA(2588, 15641, F25, 29) (dual of [15641, 15553, 30]-code) | [i] | ✔ | |
| 7 | Linear OA(2576, 15641, F25, 25) (dual of [15641, 15565, 26]-code) | [i] | ✔ | |
| 8 | Linear OA(2596, 15649, F25, 31) (dual of [15649, 15553, 32]-code) | [i] | ✔ | |
| 9 | Linear OA(2578, 15649, F25, 25) (dual of [15649, 15571, 26]-code) | [i] | ✔ | |
| 10 | Linear OA(25104, 15652, F25, 33) (dual of [15652, 15548, 34]-code) | [i] | ✔ | |
| 11 | Linear OA(25105, 15655, F25, 33) (dual of [15655, 15550, 34]-code) | [i] | ✔ | |
| 12 | Linear OA(25106, 15657, F25, 33) (dual of [15657, 15551, 34]-code) | [i] | ✔ | |
| 13 | Linear OA(25107, 15660, F25, 33) (dual of [15660, 15553, 34]-code) | [i] | ✔ | |
| 14 | Linear OA(25103, 15652, F25, 32) (dual of [15652, 15549, 33]-code) | [i] | ✔ | |
| 15 | Linear OA(25104, 15655, F25, 32) (dual of [15655, 15551, 33]-code) | [i] | ✔ | |
| 16 | Linear OA(25105, 15657, F25, 32) (dual of [15657, 15552, 33]-code) | [i] | ✔ | |
| 17 | Linear OA(2580, 15652, F25, 25) (dual of [15652, 15572, 26]-code) | [i] | ✔ | |
| 18 | Linear OA(2581, 15655, F25, 25) (dual of [15655, 15574, 26]-code) | [i] | ✔ | |
| 19 | Linear OA(2582, 15657, F25, 25) (dual of [15657, 15575, 26]-code) | [i] | ✔ | |
| 20 | Linear OA(2583, 15660, F25, 25) (dual of [15660, 15577, 26]-code) | [i] | ✔ | |
| 21 | Linear OA(2579, 15652, F25, 24) (dual of [15652, 15573, 25]-code) | [i] | ✔ | |
| 22 | Linear OA(2580, 15655, F25, 24) (dual of [15655, 15575, 25]-code) | [i] | ✔ | |
| 23 | Linear OA(2581, 15657, F25, 24) (dual of [15657, 15576, 25]-code) | [i] | ✔ | |
| 24 | Linear OA(2585, 15668, F25, 25) (dual of [15668, 15583, 26]-code) | [i] | ✔ | |
| 25 | Linear OOA(2573, 1302, F25, 25, 25) (dual of [(1302, 25), 32477, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |