Information on Result #616886
Linear OA(2541, 626, F25, 21) (dual of [626, 585, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 254−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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(2551, 652, F25, 21) (dual of [652, 601, 22]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2552, 655, F25, 21) (dual of [655, 603, 22]-code) | [i] | ||
| 3 | Linear OA(2553, 657, F25, 21) (dual of [657, 604, 22]-code) | [i] | ||
| 4 | Linear OA(2554, 678, F25, 21) (dual of [678, 624, 22]-code) | [i] | ||
| 5 | Linear OA(2555, 692, F25, 21) (dual of [692, 637, 22]-code) | [i] | ||
| 6 | Linear OA(2556, 694, F25, 21) (dual of [694, 638, 22]-code) | [i] | ||
| 7 | Linear OA(2557, 696, F25, 21) (dual of [696, 639, 22]-code) | [i] | ||
| 8 | Linear OA(2558, 730, F25, 21) (dual of [730, 672, 22]-code) | [i] | ||
| 9 | Linear OA(2559, 834, F25, 21) (dual of [834, 775, 22]-code) | [i] | ||
| 10 | Linear OA(2557, 644, F25, 21) (dual of [644, 587, 22]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 11 | Linear OA(2558, 678, F25, 21) (dual of [678, 620, 22]-code) | [i] | ||
| 12 | Linear OA(2559, 681, F25, 21) (dual of [681, 622, 22]-code) | [i] | ||
| 13 | Linear OA(2550, 636, F25, 21) (dual of [636, 586, 22]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 14 | Linear OA(2546, 631, F25, 23) (dual of [631, 585, 24]-code) | [i] | ✔ | |
| 15 | Linear OA(2542, 631, F25, 21) (dual of [631, 589, 22]-code) | [i] | ✔ | |
| 16 | Linear OA(2552, 637, F25, 25) (dual of [637, 585, 26]-code) | [i] | ✔ | |
| 17 | Linear OA(2544, 637, F25, 21) (dual of [637, 593, 22]-code) | [i] | ✔ | |
| 18 | Linear OA(2558, 643, F25, 27) (dual of [643, 585, 28]-code) | [i] | ✔ | |
| 19 | Linear OA(2546, 643, F25, 21) (dual of [643, 597, 22]-code) | [i] | ✔ | |
| 20 | Linear OA(2564, 649, F25, 29) (dual of [649, 585, 30]-code) | [i] | ✔ | |
| 21 | Linear OA(2548, 649, F25, 21) (dual of [649, 601, 22]-code) | [i] | ✔ | |
| 22 | Linear OA(2570, 652, F25, 31) (dual of [652, 582, 32]-code) | [i] | ✔ | |
| 23 | Linear OA(2571, 655, F25, 31) (dual of [655, 584, 32]-code) | [i] | ✔ | |
| 24 | Linear OA(2572, 657, F25, 31) (dual of [657, 585, 32]-code) | [i] | ✔ | |
| 25 | Linear OA(2569, 652, F25, 30) (dual of [652, 583, 31]-code) | [i] | ✔ | |
| 26 | Linear OA(2570, 655, F25, 30) (dual of [655, 585, 31]-code) | [i] | ✔ | |
| 27 | Linear OA(2550, 652, F25, 21) (dual of [652, 602, 22]-code) | [i] | ✔ | |
| 28 | Linear OA(2551, 655, F25, 21) (dual of [655, 604, 22]-code) | [i] | ✔ | |
| 29 | Linear OA(2552, 657, F25, 21) (dual of [657, 605, 22]-code) | [i] | ✔ | |
| 30 | Linear OA(2549, 652, F25, 20) (dual of [652, 603, 21]-code) | [i] | ✔ | |
| 31 | Linear OA(2550, 655, F25, 20) (dual of [655, 605, 21]-code) | [i] | ✔ | |
| 32 | Linear OA(2579, 664, F25, 33) (dual of [664, 585, 34]-code) | [i] | ✔ | |
| 33 | Linear OA(2585, 670, F25, 35) (dual of [670, 585, 36]-code) | [i] | ✔ | |
| 34 | Linear OA(2577, 659, F25, 32) (dual of [659, 582, 33]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 35 | Linear OA(2573, 659, F25, 30) (dual of [659, 586, 31]-code) | [i] | ✔ | |