Information on Result #616804
Linear OA(2529, 626, F25, 15) (dual of [626, 597, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 254−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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(558, 1252, F5, 15) (dual of [1252, 1194, 16]-code) | [i] | Trace Code | |
| 2 | Linear OA(2536, 652, F25, 15) (dual of [652, 616, 16]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(2537, 655, F25, 15) (dual of [655, 618, 16]-code) | [i] | ||
| 4 | Linear OA(2538, 657, F25, 15) (dual of [657, 619, 16]-code) | [i] | ||
| 5 | Linear OA(2539, 678, F25, 15) (dual of [678, 639, 16]-code) | [i] | ||
| 6 | Linear OA(2540, 704, F25, 15) (dual of [704, 664, 16]-code) | [i] | ||
| 7 | Linear OA(2541, 678, F25, 15) (dual of [678, 637, 16]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 8 | Linear OA(2536, 634, F25, 15) (dual of [634, 598, 16]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 9 | Linear OA(2534, 631, F25, 17) (dual of [631, 597, 18]-code) | [i] | ✔ | |
| 10 | Linear OA(2530, 631, F25, 15) (dual of [631, 601, 16]-code) | [i] | ✔ | |
| 11 | Linear OA(2540, 637, F25, 19) (dual of [637, 597, 20]-code) | [i] | ✔ | |
| 12 | Linear OA(2532, 637, F25, 15) (dual of [637, 605, 16]-code) | [i] | ✔ | |
| 13 | Linear OA(2546, 643, F25, 21) (dual of [643, 597, 22]-code) | [i] | ✔ | |
| 14 | Linear OA(2534, 643, F25, 15) (dual of [643, 609, 16]-code) | [i] | ✔ | |
| 15 | Linear OA(2552, 649, F25, 23) (dual of [649, 597, 24]-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(2561, 659, F25, 24) (dual of [659, 598, 25]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |