Information on Result #616738
Linear OA(2522, 15625, F25, 8) (dual of [15625, 15603, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8
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(2526, 15651, F25, 8) (dual of [15651, 15625, 9]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2527, 15654, F25, 8) (dual of [15654, 15627, 9]-code) | [i] | ||
| 3 | Linear OA(2528, 16225, F25, 8) (dual of [16225, 16197, 9]-code) | [i] | ||
| 4 | Linear OOA(2522, 9743, F25, 2, 8) (dual of [(9743, 2), 19464, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Digital (14, 22, 9743)-net over F25 | [i] | ||
| 6 | Linear OA(2527, 15631, F25, 8) (dual of [15631, 15604, 9]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 7 | Linear OA(2528, 15677, F25, 8) (dual of [15677, 15649, 9]-code) | [i] | ||
| 8 | Linear OA(2525, 15628, F25, 9) (dual of [15628, 15603, 10]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(2522, 15628, F25, 8) (dual of [15628, 15606, 9]-code) | [i] | ✔ | |
| 10 | Linear OA(2529, 15632, F25, 10) (dual of [15632, 15603, 11]-code) | [i] | ✔ | |
| 11 | Linear OA(2523, 15632, F25, 8) (dual of [15632, 15609, 9]-code) | [i] | ✔ | |
| 12 | Linear OA(2533, 15636, F25, 11) (dual of [15636, 15603, 12]-code) | [i] | ✔ | |
| 13 | Linear OA(2524, 15636, F25, 8) (dual of [15636, 15612, 9]-code) | [i] | ✔ | |
| 14 | Linear OA(2537, 15640, F25, 12) (dual of [15640, 15603, 13]-code) | [i] | ✔ | |
| 15 | Linear OA(2525, 15640, F25, 8) (dual of [15640, 15615, 9]-code) | [i] | ✔ | |
| 16 | Linear OA(2541, 15644, F25, 13) (dual of [15644, 15603, 14]-code) | [i] | ✔ | |
| 17 | Linear OA(2545, 15648, F25, 14) (dual of [15648, 15603, 15]-code) | [i] | ✔ | |
| 18 | Linear OA(2549, 15651, F25, 15) (dual of [15651, 15602, 16]-code) | [i] | ✔ | |
| 19 | Linear OA(2550, 15653, F25, 15) (dual of [15653, 15603, 16]-code) | [i] | ✔ | |
| 20 | Linear OA(2555, 15656, F25, 16) (dual of [15656, 15601, 17]-code) | [i] | ✔ | |
| 21 | Linear OA(2556, 15659, F25, 16) (dual of [15659, 15603, 17]-code) | [i] | ✔ | |
| 22 | Linear OA(2554, 15655, F25, 16) (dual of [15655, 15601, 17]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 23 | Linear OA(2532, 15636, F25, 10) (dual of [15636, 15604, 11]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |