Information on Result #2255392
Linear OA(2572, 15624, F25, 25) (dual of [15624, 15552, 26]-code), using 1 times truncation based on linear OA(2573, 15625, F25, 26) (dual of [15625, 15552, 27]-code), using
- an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
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(2584, 15650, F25, 25) (dual of [15650, 15566, 26]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2585, 15653, F25, 25) (dual of [15653, 15568, 26]-code) | [i] | ||
| 3 | Linear OA(2586, 15655, F25, 25) (dual of [15655, 15569, 26]-code) | [i] | ||
| 4 | Linear OA(2587, 15676, F25, 25) (dual of [15676, 15589, 26]-code) | [i] | ||
| 5 | Linear OA(2588, 15690, F25, 25) (dual of [15690, 15602, 26]-code) | [i] | ||
| 6 | Linear OA(2589, 15692, F25, 25) (dual of [15692, 15603, 26]-code) | [i] | ||
| 7 | Linear OA(2590, 15694, F25, 25) (dual of [15694, 15604, 26]-code) | [i] | ||
| 8 | Linear OA(2591, 15696, F25, 25) (dual of [15696, 15605, 26]-code) | [i] | ||
| 9 | Linear OA(2592, 15701, F25, 25) (dual of [15701, 15609, 26]-code) | [i] | ||
| 10 | Linear OA(2593, 15728, F25, 25) (dual of [15728, 15635, 26]-code) | [i] | ||
| 11 | Linear OA(2594, 15832, F25, 25) (dual of [15832, 15738, 26]-code) | [i] | ||
| 12 | Linear OA(2595, 16249, F25, 25) (dual of [16249, 16154, 26]-code) | [i] | ||
| 13 | Linear OA(2593, 15732, F25, 25) (dual of [15732, 15639, 26]-code) | [i] | ||
| 14 | Linear OA(2594, 15836, F25, 25) (dual of [15836, 15742, 26]-code) | [i] | ||
| 15 | Linear OA(2595, 16252, F25, 25) (dual of [16252, 16157, 26]-code) | [i] | ||
| 16 | Linear OOA(2572, 8110, F25, 2, 25) (dual of [(8110, 2), 16148, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 17 | Digital (47, 72, 8110)-net over F25 | [i] | ||
| 18 | Linear OA(2592, 15676, F25, 25) (dual of [15676, 15584, 26]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 19 | Linear OA(2593, 15679, F25, 25) (dual of [15679, 15586, 26]-code) | [i] | ||
| 20 | Linear OA(2594, 15682, F25, 25) (dual of [15682, 15588, 26]-code) | [i] | ||
| 21 | Linear OA(2595, 15684, F25, 25) (dual of [15684, 15589, 26]-code) | [i] | ||
| 22 | Linear OA(2595, 15702, F25, 25) (dual of [15702, 15607, 26]-code) | [i] | ||
| 23 | Linear OOA(2572, 7812, F25, 2, 25) (dual of [(7812, 2), 15552, 26]-NRT-code) | [i] | OOA Folding | |
| 24 | Linear OOA(2572, 1301, F25, 25, 25) (dual of [(1301, 25), 32453, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |