Information on Result #616764
Linear OA(2521, 626, F25, 11) (dual of [626, 605, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 254−1, 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(2588, 16252, F25, 23) (dual of [16252, 16164, 24]-code) | [i] | (u, u+v)-Construction | |
2 | Linear OA(25110, 391252, F25, 23) (dual of [391252, 391142, 24]-code) | [i] | ||
3 | Linear OA(2526, 652, F25, 11) (dual of [652, 626, 12]-code) | [i] | ||
4 | Linear OA(2527, 655, F25, 11) (dual of [655, 628, 12]-code) | [i] | ||
5 | Linear OA(2528, 1227, F25, 11) (dual of [1227, 1199, 12]-code) | [i] | ||
6 | Linear OA(2529, 678, F25, 11) (dual of [678, 649, 12]-code) | [i] | (u, u−v, u+v+w)-Construction | |
7 | Linear OA(2526, 632, F25, 11) (dual of [632, 606, 12]-code) | [i] | ✔ | Construction X with Cyclic Codes |
8 | Linear OA(2526, 631, F25, 13) (dual of [631, 605, 14]-code) | [i] | ✔ | |
9 | Linear OA(2522, 631, F25, 11) (dual of [631, 609, 12]-code) | [i] | ✔ | |
10 | Linear OA(2532, 637, F25, 15) (dual of [637, 605, 16]-code) | [i] | ✔ | |
11 | Linear OA(2524, 637, F25, 11) (dual of [637, 613, 12]-code) | [i] | ✔ | |
12 | Linear OA(2538, 643, F25, 17) (dual of [643, 605, 18]-code) | [i] | ✔ | |
13 | Linear OA(2544, 649, F25, 19) (dual of [649, 605, 20]-code) | [i] | ✔ | |
14 | Linear OA(2550, 652, F25, 21) (dual of [652, 602, 22]-code) | [i] | ✔ | |
15 | Linear OA(2551, 655, F25, 21) (dual of [655, 604, 22]-code) | [i] | ✔ | |
16 | Linear OA(2552, 657, F25, 21) (dual of [657, 605, 22]-code) | [i] | ✔ | |
17 | Linear OA(2549, 652, F25, 20) (dual of [652, 603, 21]-code) | [i] | ✔ | |
18 | Linear OA(2550, 655, F25, 20) (dual of [655, 605, 21]-code) | [i] | ✔ |