Information on Result #617107
Linear OA(25103, 15625, F25, 36) (dual of [15625, 15522, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36
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(25103, 8795, F25, 2, 36) (dual of [(8795, 2), 17487, 37]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (67, 103, 8795)-net over F25 | [i] | ||
| 3 | Linear OA(25106, 15628, F25, 37) (dual of [15628, 15522, 38]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(25103, 15628, F25, 36) (dual of [15628, 15525, 37]-code) | [i] | ✔ | |
| 5 | Linear OA(25110, 15632, F25, 38) (dual of [15632, 15522, 39]-code) | [i] | ✔ | |
| 6 | Linear OA(25104, 15632, F25, 36) (dual of [15632, 15528, 37]-code) | [i] | ✔ | |
| 7 | Linear OA(25105, 15636, F25, 36) (dual of [15636, 15531, 37]-code) | [i] | ✔ | |
| 8 | Linear OA(25106, 15640, F25, 36) (dual of [15640, 15534, 37]-code) | [i] | ✔ | |
| 9 | Linear OA(25107, 15644, F25, 36) (dual of [15644, 15537, 37]-code) | [i] | ✔ | |
| 10 | Linear OA(25108, 15648, F25, 36) (dual of [15648, 15540, 37]-code) | [i] | ✔ | |
| 11 | Linear OA(25109, 15651, F25, 36) (dual of [15651, 15542, 37]-code) | [i] | ✔ | |
| 12 | Linear OA(25110, 15653, F25, 36) (dual of [15653, 15543, 37]-code) | [i] | ✔ | |
| 13 | Linear OOA(25103, 868, F25, 36, 36) (dual of [(868, 36), 31145, 37]-NRT-code) | [i] | OA Folding and Stacking | |