Information on Result #616770
Linear OA(2541, 390626, F25, 11) (dual of [390626, 390585, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 390626 | 258−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound)
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(2546, 390652, F25, 11) (dual of [390652, 390606, 12]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2547, 390655, F25, 11) (dual of [390655, 390608, 12]-code) | [i] | ||
| 3 | Linear OA(2548, 391227, F25, 11) (dual of [391227, 391179, 12]-code) | [i] | ||
| 4 | Linear OA(2550, 391252, F25, 11) (dual of [391252, 391202, 12]-code) | [i] | ||
| 5 | Linear OA(2550, 391253, F25, 11) (dual of [391253, 391203, 12]-code) | [i] | ||
| 6 | Linear OA(2550, 390638, F25, 11) (dual of [390638, 390588, 12]-code) | [i] | Generalized (u, u+v)-Construction | |
| 7 | Linear OA(2549, 390678, F25, 11) (dual of [390678, 390629, 12]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 8 | Linear OA(2550, 390681, F25, 11) (dual of [390681, 390631, 12]-code) | [i] | ||
| 9 | Linear OA(2546, 390632, F25, 11) (dual of [390632, 390586, 12]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 10 | Linear OA(2550, 390635, F25, 13) (dual of [390635, 390585, 14]-code) | [i] | ✔ | |
| 11 | Linear OA(2542, 390635, F25, 11) (dual of [390635, 390593, 12]-code) | [i] | ✔ | |
| 12 | Linear OA(2560, 390645, F25, 15) (dual of [390645, 390585, 16]-code) | [i] | ✔ | |
| 13 | Linear OA(2544, 390645, F25, 11) (dual of [390645, 390601, 12]-code) | [i] | ✔ | |
| 14 | Linear OA(2570, 390652, F25, 17) (dual of [390652, 390582, 18]-code) | [i] | ✔ | |
| 15 | Linear OA(2571, 390655, F25, 17) (dual of [390655, 390584, 18]-code) | [i] | ✔ | |
| 16 | Linear OA(2572, 390657, F25, 17) (dual of [390657, 390585, 18]-code) | [i] | ✔ | |
| 17 | Linear OA(2569, 390652, F25, 16) (dual of [390652, 390583, 17]-code) | [i] | ✔ | |
| 18 | Linear OA(2570, 390655, F25, 16) (dual of [390655, 390585, 17]-code) | [i] | ✔ | |
| 19 | Linear OA(2583, 390668, F25, 19) (dual of [390668, 390585, 20]-code) | [i] | ✔ | |
| 20 | Linear OA(2593, 390678, F25, 21) (dual of [390678, 390585, 22]-code) | [i] | ✔ | |
| 21 | Linear OOA(2541, 78125, F25, 11, 11) (dual of [(78125, 11), 859334, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |