Information on Result #616855
Linear OA(2537, 626, F25, 19) (dual of [626, 589, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 254−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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(574, 1252, F5, 19) (dual of [1252, 1178, 20]-code) | [i] | Trace Code | |
| 2 | Linear OA(2546, 652, F25, 19) (dual of [652, 606, 20]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(2547, 655, F25, 19) (dual of [655, 608, 20]-code) | [i] | ||
| 4 | Linear OA(2548, 657, F25, 19) (dual of [657, 609, 20]-code) | [i] | ||
| 5 | Linear OA(2549, 678, F25, 19) (dual of [678, 629, 20]-code) | [i] | ||
| 6 | Linear OA(2550, 692, F25, 19) (dual of [692, 642, 20]-code) | [i] | ||
| 7 | Linear OA(2551, 694, F25, 19) (dual of [694, 643, 20]-code) | [i] | ||
| 8 | Linear OA(2552, 730, F25, 19) (dual of [730, 678, 20]-code) | [i] | ||
| 9 | Linear OA(2553, 834, F25, 19) (dual of [834, 781, 20]-code) | [i] | ||
| 10 | Linear OA(2553, 644, F25, 19) (dual of [644, 591, 20]-code) | [i] | Generalized (u, u+v)-Construction | |
| 11 | Linear OA(2551, 642, F25, 19) (dual of [642, 591, 20]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 12 | Linear OA(2552, 678, F25, 19) (dual of [678, 626, 20]-code) | [i] | ||
| 13 | Linear OA(2553, 681, F25, 19) (dual of [681, 628, 20]-code) | [i] | ||
| 14 | Linear OA(2546, 636, F25, 19) (dual of [636, 590, 20]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 15 | Linear OA(2542, 631, F25, 21) (dual of [631, 589, 22]-code) | [i] | ✔ | |
| 16 | Linear OA(2538, 631, F25, 19) (dual of [631, 593, 20]-code) | [i] | ✔ | |
| 17 | Linear OA(2548, 637, F25, 23) (dual of [637, 589, 24]-code) | [i] | ✔ | |
| 18 | Linear OA(2540, 637, F25, 19) (dual of [637, 597, 20]-code) | [i] | ✔ | |
| 19 | Linear OA(2554, 643, F25, 25) (dual of [643, 589, 26]-code) | [i] | ✔ | |
| 20 | Linear OA(2542, 643, F25, 19) (dual of [643, 601, 20]-code) | [i] | ✔ | |
| 21 | Linear OA(2560, 649, F25, 27) (dual of [649, 589, 28]-code) | [i] | ✔ | |
| 22 | Linear OA(2544, 649, F25, 19) (dual of [649, 605, 20]-code) | [i] | ✔ | |
| 23 | Linear OA(2566, 652, F25, 29) (dual of [652, 586, 30]-code) | [i] | ✔ | |
| 24 | Linear OA(2567, 655, F25, 29) (dual of [655, 588, 30]-code) | [i] | ✔ | |
| 25 | Linear OA(2568, 657, F25, 29) (dual of [657, 589, 30]-code) | [i] | ✔ | |
| 26 | Linear OA(2565, 652, F25, 28) (dual of [652, 587, 29]-code) | [i] | ✔ | |
| 27 | Linear OA(2566, 655, F25, 28) (dual of [655, 589, 29]-code) | [i] | ✔ | |
| 28 | Linear OA(2575, 664, F25, 31) (dual of [664, 589, 32]-code) | [i] | ✔ | |
| 29 | Linear OA(2573, 659, F25, 30) (dual of [659, 586, 31]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |