Information on Result #616948
Linear OA(2549, 626, F25, 25) (dual of [626, 577, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 254−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (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(598, 1252, F5, 25) (dual of [1252, 1154, 26]-code) | [i] | Trace Code | |
| 2 | Linear OA(2560, 638, F25, 25) (dual of [638, 578, 26]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(2554, 631, F25, 27) (dual of [631, 577, 28]-code) | [i] | ✔ | |
| 4 | Linear OA(2550, 631, F25, 25) (dual of [631, 581, 26]-code) | [i] | ✔ | |
| 5 | Linear OA(2560, 637, F25, 29) (dual of [637, 577, 30]-code) | [i] | ✔ | |
| 6 | Linear OA(2552, 637, F25, 25) (dual of [637, 585, 26]-code) | [i] | ✔ | |
| 7 | Linear OA(2566, 643, F25, 31) (dual of [643, 577, 32]-code) | [i] | ✔ | |
| 8 | Linear OA(2554, 643, F25, 25) (dual of [643, 589, 26]-code) | [i] | ✔ | |
| 9 | Linear OA(2572, 649, F25, 33) (dual of [649, 577, 34]-code) | [i] | ✔ | |
| 10 | Linear OA(2556, 649, F25, 25) (dual of [649, 593, 26]-code) | [i] | ✔ | |
| 11 | Linear OA(2578, 652, F25, 35) (dual of [652, 574, 36]-code) | [i] | ✔ | |
| 12 | Linear OA(2579, 655, F25, 35) (dual of [655, 576, 36]-code) | [i] | ✔ | |
| 13 | Linear OA(2580, 657, F25, 35) (dual of [657, 577, 36]-code) | [i] | ✔ | |
| 14 | Linear OA(2577, 652, F25, 34) (dual of [652, 575, 35]-code) | [i] | ✔ | |
| 15 | Linear OA(2578, 655, F25, 34) (dual of [655, 577, 35]-code) | [i] | ✔ | |
| 16 | Linear OA(2558, 652, F25, 25) (dual of [652, 594, 26]-code) | [i] | ✔ | |
| 17 | Linear OA(2559, 655, F25, 25) (dual of [655, 596, 26]-code) | [i] | ✔ | |
| 18 | Linear OA(2560, 657, F25, 25) (dual of [657, 597, 26]-code) | [i] | ✔ | |
| 19 | Linear OA(2557, 652, F25, 24) (dual of [652, 595, 25]-code) | [i] | ✔ | |
| 20 | Linear OA(2558, 655, F25, 24) (dual of [655, 597, 25]-code) | [i] | ✔ | |
| 21 | Linear OA(2587, 664, F25, 37) (dual of [664, 577, 38]-code) | [i] | ✔ | |
| 22 | Linear OA(2593, 670, F25, 39) (dual of [670, 577, 40]-code) | [i] | ✔ | |
| 23 | Linear OA(2599, 676, F25, 41) (dual of [676, 577, 42]-code) | [i] | ✔ | |
| 24 | Linear OA(25106, 683, F25, 43) (dual of [683, 577, 44]-code) | [i] | ✔ | |
| 25 | Linear OA(25104, 678, F25, 42) (dual of [678, 574, 43]-code) | [i] | ✔ | |
| 26 | Linear OA(2585, 659, F25, 36) (dual of [659, 574, 37]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 27 | Linear OA(2581, 659, F25, 34) (dual of [659, 578, 35]-code) | [i] | ✔ | |
| 28 | Linear OA(2561, 659, F25, 24) (dual of [659, 598, 25]-code) | [i] | ✔ | |