Information on Result #616921
Linear OA(2545, 626, F25, 23) (dual of [626, 581, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 254−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (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(2556, 652, F25, 23) (dual of [652, 596, 24]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2557, 655, F25, 23) (dual of [655, 598, 24]-code) | [i] | ||
| 3 | Linear OA(2558, 657, F25, 23) (dual of [657, 599, 24]-code) | [i] | ||
| 4 | Linear OA(2559, 678, F25, 23) (dual of [678, 619, 24]-code) | [i] | ||
| 5 | Linear OA(2560, 692, F25, 23) (dual of [692, 632, 24]-code) | [i] | ||
| 6 | Linear OA(2561, 694, F25, 23) (dual of [694, 633, 24]-code) | [i] | ||
| 7 | Linear OA(2562, 696, F25, 23) (dual of [696, 634, 24]-code) | [i] | ||
| 8 | Linear OA(2563, 698, F25, 23) (dual of [698, 635, 24]-code) | [i] | ||
| 9 | Linear OA(2564, 730, F25, 23) (dual of [730, 666, 24]-code) | [i] | ||
| 10 | Linear OA(2565, 834, F25, 23) (dual of [834, 769, 24]-code) | [i] | ||
| 11 | Linear OA(2564, 647, F25, 23) (dual of [647, 583, 24]-code) | [i] | Generalized (u, u+v)-Construction | |
| 12 | Linear OA(2565, 650, F25, 23) (dual of [650, 585, 24]-code) | [i] | ||
| 13 | Linear OA(2561, 644, F25, 23) (dual of [644, 583, 24]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 14 | Linear OA(2562, 646, F25, 23) (dual of [646, 584, 24]-code) | [i] | ||
| 15 | Linear OA(2563, 678, F25, 23) (dual of [678, 615, 24]-code) | [i] | ||
| 16 | Linear OA(2564, 681, F25, 23) (dual of [681, 617, 24]-code) | [i] | ||
| 17 | Linear OA(2565, 684, F25, 23) (dual of [684, 619, 24]-code) | [i] | ||
| 18 | Linear OA(2556, 638, F25, 23) (dual of [638, 582, 24]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 19 | Linear OA(2550, 631, F25, 25) (dual of [631, 581, 26]-code) | [i] | ✔ | |
| 20 | Linear OA(2546, 631, F25, 23) (dual of [631, 585, 24]-code) | [i] | ✔ | |
| 21 | Linear OA(2556, 637, F25, 27) (dual of [637, 581, 28]-code) | [i] | ✔ | |
| 22 | Linear OA(2548, 637, F25, 23) (dual of [637, 589, 24]-code) | [i] | ✔ | |
| 23 | Linear OA(2562, 643, F25, 29) (dual of [643, 581, 30]-code) | [i] | ✔ | |
| 24 | Linear OA(2550, 643, F25, 23) (dual of [643, 593, 24]-code) | [i] | ✔ | |
| 25 | Linear OA(2568, 649, F25, 31) (dual of [649, 581, 32]-code) | [i] | ✔ | |
| 26 | Linear OA(2552, 649, F25, 23) (dual of [649, 597, 24]-code) | [i] | ✔ | |
| 27 | Linear OA(2574, 652, F25, 33) (dual of [652, 578, 34]-code) | [i] | ✔ | |
| 28 | Linear OA(2575, 655, F25, 33) (dual of [655, 580, 34]-code) | [i] | ✔ | |
| 29 | Linear OA(2576, 657, F25, 33) (dual of [657, 581, 34]-code) | [i] | ✔ | |
| 30 | Linear OA(2573, 652, F25, 32) (dual of [652, 579, 33]-code) | [i] | ✔ | |
| 31 | Linear OA(2574, 655, F25, 32) (dual of [655, 581, 33]-code) | [i] | ✔ | |
| 32 | Linear OA(2554, 652, F25, 23) (dual of [652, 598, 24]-code) | [i] | ✔ | |
| 33 | Linear OA(2555, 655, F25, 23) (dual of [655, 600, 24]-code) | [i] | ✔ | |
| 34 | Linear OA(2556, 657, F25, 23) (dual of [657, 601, 24]-code) | [i] | ✔ | |
| 35 | Linear OA(2553, 652, F25, 22) (dual of [652, 599, 23]-code) | [i] | ✔ | |
| 36 | Linear OA(2554, 655, F25, 22) (dual of [655, 601, 23]-code) | [i] | ✔ | |
| 37 | Linear OA(2583, 664, F25, 35) (dual of [664, 581, 36]-code) | [i] | ✔ | |
| 38 | Linear OA(2589, 670, F25, 37) (dual of [670, 581, 38]-code) | [i] | ✔ | |
| 39 | Linear OA(2595, 676, F25, 39) (dual of [676, 581, 40]-code) | [i] | ✔ | |
| 40 | Linear OA(2581, 659, F25, 34) (dual of [659, 578, 35]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 41 | Linear OA(2577, 659, F25, 32) (dual of [659, 582, 33]-code) | [i] | ✔ | |