Information on Result #693449
Linear OA(2537, 15625, F25, 13) (dual of [15625, 15588, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13
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 OA(2540, 15628, F25, 14) (dual of [15628, 15588, 15]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(2537, 15628, F25, 13) (dual of [15628, 15591, 14]-code) | [i] | ✔ | |
| 3 | Linear OA(2548, 15636, F25, 16) (dual of [15636, 15588, 17]-code) | [i] | ✔ | |
| 4 | Linear OA(2539, 15636, F25, 13) (dual of [15636, 15597, 14]-code) | [i] | ✔ | |
| 5 | Linear OA(2556, 15644, F25, 18) (dual of [15644, 15588, 19]-code) | [i] | ✔ | |
| 6 | Linear OA(2541, 15644, F25, 13) (dual of [15644, 15603, 14]-code) | [i] | ✔ | |
| 7 | Linear OA(2564, 15651, F25, 20) (dual of [15651, 15587, 21]-code) | [i] | ✔ | |
| 8 | Linear OA(2565, 15653, F25, 20) (dual of [15653, 15588, 21]-code) | [i] | ✔ | |
| 9 | Linear OA(2575, 15663, F25, 22) (dual of [15663, 15588, 23]-code) | [i] | ✔ | |
| 10 | Linear OA(2583, 15671, F25, 24) (dual of [15671, 15588, 25]-code) | [i] | ✔ | |
| 11 | Linear OA(2588, 15676, F25, 26) (dual of [15676, 15588, 27]-code) | [i] | ✔ | |
| 12 | Linear OA(2566, 15655, F25, 20) (dual of [15655, 15589, 21]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 13 | Linear OOA(2537, 2604, F25, 13, 13) (dual of [(2604, 13), 33815, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |