Information on Result #616844
Linear OA(2535, 625, F25, 18) (dual of [625, 590, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18
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(2544, 651, F25, 18) (dual of [651, 607, 19]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2545, 654, F25, 18) (dual of [654, 609, 19]-code) | [i] | ||
| 3 | Linear OA(2546, 656, F25, 18) (dual of [656, 610, 19]-code) | [i] | ||
| 4 | Linear OA(2547, 677, F25, 18) (dual of [677, 630, 19]-code) | [i] | ||
| 5 | Linear OA(2548, 691, F25, 18) (dual of [691, 643, 19]-code) | [i] | ||
| 6 | Linear OA(2549, 693, F25, 18) (dual of [693, 644, 19]-code) | [i] | ||
| 7 | Linear OA(2550, 729, F25, 18) (dual of [729, 679, 19]-code) | [i] | ||
| 8 | Linear OA(2550, 641, F25, 18) (dual of [641, 591, 19]-code) | [i] | Generalized (u, u+v)-Construction | |
| 9 | Linear OA(2549, 640, F25, 18) (dual of [640, 591, 19]-code) | [i] | ||
| 10 | Linear OA(2548, 639, F25, 18) (dual of [639, 591, 19]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 11 | Linear OA(2549, 641, F25, 18) (dual of [641, 592, 19]-code) | [i] | ||
| 12 | Linear OA(2550, 677, F25, 18) (dual of [677, 627, 19]-code) | [i] | ||
| 13 | Linear OA(2537, 627, F25, 19) (dual of [627, 590, 20]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 14 | Linear OA(2535, 627, F25, 18) (dual of [627, 592, 19]-code) | [i] | ✔ | |
| 15 | Linear OA(2540, 630, F25, 20) (dual of [630, 590, 21]-code) | [i] | ✔ | |
| 16 | Linear OA(2536, 630, F25, 18) (dual of [630, 594, 19]-code) | [i] | ✔ | |
| 17 | Linear OA(2543, 633, F25, 21) (dual of [633, 590, 22]-code) | [i] | ✔ | |
| 18 | Linear OA(2537, 633, F25, 18) (dual of [633, 596, 19]-code) | [i] | ✔ | |
| 19 | Linear OA(2546, 636, F25, 22) (dual of [636, 590, 23]-code) | [i] | ✔ | |
| 20 | Linear OA(2538, 636, F25, 18) (dual of [636, 598, 19]-code) | [i] | ✔ | |
| 21 | Linear OA(2549, 639, F25, 23) (dual of [639, 590, 24]-code) | [i] | ✔ | |
| 22 | Linear OA(2539, 639, F25, 18) (dual of [639, 600, 19]-code) | [i] | ✔ | |
| 23 | Linear OA(2552, 642, F25, 24) (dual of [642, 590, 25]-code) | [i] | ✔ | |
| 24 | Linear OA(2540, 642, F25, 18) (dual of [642, 602, 19]-code) | [i] | ✔ | |
| 25 | Linear OA(2556, 646, F25, 26) (dual of [646, 590, 27]-code) | [i] | ✔ | |
| 26 | Linear OA(2541, 645, F25, 18) (dual of [645, 604, 19]-code) | [i] | ✔ | |
| 27 | Linear OA(2558, 648, F25, 27) (dual of [648, 590, 28]-code) | [i] | ✔ | |
| 28 | Linear OA(2542, 648, F25, 18) (dual of [648, 606, 19]-code) | [i] | ✔ | |
| 29 | Linear OA(2561, 651, F25, 28) (dual of [651, 590, 29]-code) | [i] | ✔ | |
| 30 | Linear OA(2543, 651, F25, 18) (dual of [651, 608, 19]-code) | [i] | ✔ | |
| 31 | Linear OA(2565, 654, F25, 29) (dual of [654, 589, 30]-code) | [i] | ✔ | |
| 32 | Linear OA(2566, 656, F25, 29) (dual of [656, 590, 30]-code) | [i] | ✔ | |
| 33 | Linear OA(2570, 660, F25, 30) (dual of [660, 590, 31]-code) | [i] | ✔ | |
| 34 | Linear OA(2573, 663, F25, 31) (dual of [663, 590, 32]-code) | [i] | ✔ | |
| 35 | Linear OA(2576, 666, F25, 32) (dual of [666, 590, 33]-code) | [i] | ✔ | |
| 36 | Linear OA(2579, 669, F25, 33) (dual of [669, 590, 34]-code) | [i] | ✔ | |
| 37 | Linear OA(2582, 672, F25, 34) (dual of [672, 590, 35]-code) | [i] | ✔ | |
| 38 | Linear OA(2585, 675, F25, 35) (dual of [675, 590, 36]-code) | [i] | ✔ | |
| 39 | Linear OA(2588, 677, F25, 36) (dual of [677, 589, 37]-code) | [i] | ✔ | |
| 40 | Linear OA(2589, 679, F25, 36) (dual of [679, 590, 37]-code) | [i] | ✔ | |