Information on Result #616902
Linear OA(2543, 625, F25, 22) (dual of [625, 582, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22
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(2554, 651, F25, 22) (dual of [651, 597, 23]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2555, 654, F25, 22) (dual of [654, 599, 23]-code) | [i] | ||
| 3 | Linear OA(2556, 656, F25, 22) (dual of [656, 600, 23]-code) | [i] | ||
| 4 | Linear OA(2557, 677, F25, 22) (dual of [677, 620, 23]-code) | [i] | ||
| 5 | Linear OA(2558, 691, F25, 22) (dual of [691, 633, 23]-code) | [i] | ||
| 6 | Linear OA(2559, 693, F25, 22) (dual of [693, 634, 23]-code) | [i] | ||
| 7 | Linear OA(2560, 695, F25, 22) (dual of [695, 635, 23]-code) | [i] | ||
| 8 | Linear OA(2561, 697, F25, 22) (dual of [697, 636, 23]-code) | [i] | ||
| 9 | Linear OA(2562, 729, F25, 22) (dual of [729, 667, 23]-code) | [i] | ||
| 10 | Linear OA(2562, 645, F25, 22) (dual of [645, 583, 23]-code) | [i] | Generalized (u, u+v)-Construction | |
| 11 | Linear OA(2560, 643, F25, 22) (dual of [643, 583, 23]-code) | [i] | ||
| 12 | Linear OA(2562, 646, F25, 22) (dual of [646, 584, 23]-code) | [i] | ||
| 13 | Linear OA(2558, 641, F25, 22) (dual of [641, 583, 23]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 14 | Linear OA(2559, 643, F25, 22) (dual of [643, 584, 23]-code) | [i] | ||
| 15 | Linear OA(2560, 645, F25, 22) (dual of [645, 585, 23]-code) | [i] | ||
| 16 | Linear OA(2561, 677, F25, 22) (dual of [677, 616, 23]-code) | [i] | ||
| 17 | Linear OA(2562, 680, F25, 22) (dual of [680, 618, 23]-code) | [i] | ||
| 18 | Linear OA(2545, 627, F25, 23) (dual of [627, 582, 24]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 19 | Linear OA(2543, 627, F25, 22) (dual of [627, 584, 23]-code) | [i] | ✔ | |
| 20 | Linear OA(2548, 630, F25, 24) (dual of [630, 582, 25]-code) | [i] | ✔ | |
| 21 | Linear OA(2544, 630, F25, 22) (dual of [630, 586, 23]-code) | [i] | ✔ | |
| 22 | Linear OA(2552, 634, F25, 26) (dual of [634, 582, 27]-code) | [i] | ✔ | |
| 23 | Linear OA(2545, 633, F25, 22) (dual of [633, 588, 23]-code) | [i] | ✔ | |
| 24 | Linear OA(2554, 636, F25, 27) (dual of [636, 582, 28]-code) | [i] | ✔ | |
| 25 | Linear OA(2546, 636, F25, 22) (dual of [636, 590, 23]-code) | [i] | ✔ | |
| 26 | Linear OA(2557, 639, F25, 28) (dual of [639, 582, 29]-code) | [i] | ✔ | |
| 27 | Linear OA(2547, 639, F25, 22) (dual of [639, 592, 23]-code) | [i] | ✔ | |
| 28 | Linear OA(2560, 642, F25, 29) (dual of [642, 582, 30]-code) | [i] | ✔ | |
| 29 | Linear OA(2548, 642, F25, 22) (dual of [642, 594, 23]-code) | [i] | ✔ | |
| 30 | Linear OA(2563, 645, F25, 30) (dual of [645, 582, 31]-code) | [i] | ✔ | |
| 31 | Linear OA(2549, 645, F25, 22) (dual of [645, 596, 23]-code) | [i] | ✔ | |
| 32 | Linear OA(2566, 648, F25, 31) (dual of [648, 582, 32]-code) | [i] | ✔ | |
| 33 | Linear OA(2550, 648, F25, 22) (dual of [648, 598, 23]-code) | [i] | ✔ | |
| 34 | Linear OA(2569, 651, F25, 32) (dual of [651, 582, 33]-code) | [i] | ✔ | |
| 35 | Linear OA(2551, 651, F25, 22) (dual of [651, 600, 23]-code) | [i] | ✔ | |
| 36 | Linear OA(2573, 654, F25, 33) (dual of [654, 581, 34]-code) | [i] | ✔ | |
| 37 | Linear OA(2574, 656, F25, 33) (dual of [656, 582, 34]-code) | [i] | ✔ | |
| 38 | Linear OA(2553, 654, F25, 22) (dual of [654, 601, 23]-code) | [i] | ✔ | |
| 39 | Linear OA(2554, 656, F25, 22) (dual of [656, 602, 23]-code) | [i] | ✔ | |
| 40 | Linear OA(2578, 660, F25, 34) (dual of [660, 582, 35]-code) | [i] | ✔ | |
| 41 | Linear OA(2556, 660, F25, 22) (dual of [660, 604, 23]-code) | [i] | ✔ | |
| 42 | Linear OA(2581, 663, F25, 35) (dual of [663, 582, 36]-code) | [i] | ✔ | |
| 43 | Linear OA(2584, 666, F25, 36) (dual of [666, 582, 37]-code) | [i] | ✔ | |
| 44 | Linear OA(2587, 669, F25, 37) (dual of [669, 582, 38]-code) | [i] | ✔ | |
| 45 | Linear OA(2590, 672, F25, 38) (dual of [672, 582, 39]-code) | [i] | ✔ | |
| 46 | Linear OA(2593, 675, F25, 39) (dual of [675, 582, 40]-code) | [i] | ✔ | |
| 47 | Linear OA(2596, 677, F25, 40) (dual of [677, 581, 41]-code) | [i] | ✔ | |
| 48 | Linear OA(2597, 679, F25, 40) (dual of [679, 582, 41]-code) | [i] | ✔ | |
| 49 | Linear OA(25100, 682, F25, 41) (dual of [682, 582, 42]-code) | [i] | ✔ | |
| 50 | Linear OA(25103, 685, F25, 42) (dual of [685, 582, 43]-code) | [i] | ✔ | |
| 51 | Linear OA(25106, 688, F25, 43) (dual of [688, 582, 44]-code) | [i] | ✔ | |
| 52 | Linear OA(25109, 691, F25, 44) (dual of [691, 582, 45]-code) | [i] | ✔ | |