Information on Result #693455
Linear OA(2525, 15625, F25, 9) (dual of [15625, 15600, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9
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(2525, 8740, F25, 2, 9) (dual of [(8740, 2), 17455, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (16, 25, 8740)-net over F25 | [i] | ||
| 3 | Linear OA(2528, 15628, F25, 10) (dual of [15628, 15600, 11]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(2525, 15628, F25, 9) (dual of [15628, 15603, 10]-code) | [i] | ✔ | |
| 5 | Linear OA(2536, 15636, F25, 12) (dual of [15636, 15600, 13]-code) | [i] | ✔ | |
| 6 | Linear OA(2527, 15636, F25, 9) (dual of [15636, 15609, 10]-code) | [i] | ✔ | |
| 7 | Linear OA(2544, 15644, F25, 14) (dual of [15644, 15600, 15]-code) | [i] | ✔ | |
| 8 | Linear OA(2552, 15651, F25, 16) (dual of [15651, 15599, 17]-code) | [i] | ✔ | |
| 9 | Linear OA(2553, 15653, F25, 16) (dual of [15653, 15600, 17]-code) | [i] | ✔ | |
| 10 | Linear OA(2563, 15663, F25, 18) (dual of [15663, 15600, 19]-code) | [i] | ✔ | |
| 11 | Linear OA(2554, 15655, F25, 16) (dual of [15655, 15601, 17]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 12 | Linear OOA(2525, 3906, F25, 9, 9) (dual of [(3906, 9), 35129, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |