Information on Result #617118
Linear OA(2570, 625, F25, 37) (dual of [625, 555, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37
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(5140, 1250, F5, 37) (dual of [1250, 1110, 38]-code) | [i] | Trace Code | |
| 2 | Linear OA(2588, 651, F25, 37) (dual of [651, 563, 38]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(2589, 654, F25, 37) (dual of [654, 565, 38]-code) | [i] | ||
| 4 | Linear OA(2590, 656, F25, 37) (dual of [656, 566, 38]-code) | [i] | ||
| 5 | Linear OA(2591, 677, F25, 37) (dual of [677, 586, 38]-code) | [i] | ||
| 6 | Linear OA(2592, 691, F25, 37) (dual of [691, 599, 38]-code) | [i] | ||
| 7 | Linear OA(2593, 693, F25, 37) (dual of [693, 600, 38]-code) | [i] | ||
| 8 | Linear OA(2594, 695, F25, 37) (dual of [695, 601, 38]-code) | [i] | ||
| 9 | Linear OA(2595, 697, F25, 37) (dual of [697, 602, 38]-code) | [i] | ||
| 10 | Linear OA(2596, 699, F25, 37) (dual of [699, 603, 38]-code) | [i] | ||
| 11 | Linear OA(2597, 729, F25, 37) (dual of [729, 632, 38]-code) | [i] | ||
| 12 | Linear OA(2598, 751, F25, 37) (dual of [751, 653, 38]-code) | [i] | ||
| 13 | Linear OA(2599, 753, F25, 37) (dual of [753, 654, 38]-code) | [i] | ||
| 14 | Linear OA(25104, 938, F25, 37) (dual of [938, 834, 38]-code) | [i] | ||
| 15 | Linear OA(2599, 655, F25, 37) (dual of [655, 556, 38]-code) | [i] | Generalized (u, u+v)-Construction | |
| 16 | Linear OA(2595, 651, F25, 37) (dual of [651, 556, 38]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 17 | Linear OA(2596, 653, F25, 37) (dual of [653, 557, 38]-code) | [i] | ||
| 18 | Linear OA(2597, 655, F25, 37) (dual of [655, 558, 38]-code) | [i] | ||
| 19 | Linear OA(2598, 657, F25, 37) (dual of [657, 559, 38]-code) | [i] | ||
| 20 | Linear OA(2599, 659, F25, 37) (dual of [659, 560, 38]-code) | [i] | ||
| 21 | Linear OA(2572, 627, F25, 38) (dual of [627, 555, 39]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 22 | Linear OA(2570, 627, F25, 37) (dual of [627, 557, 38]-code) | [i] | ✔ | |
| 23 | Linear OA(2575, 630, F25, 39) (dual of [630, 555, 40]-code) | [i] | ✔ | |
| 24 | Linear OA(2571, 630, F25, 37) (dual of [630, 559, 38]-code) | [i] | ✔ | |
| 25 | Linear OA(2578, 633, F25, 40) (dual of [633, 555, 41]-code) | [i] | ✔ | |
| 26 | Linear OA(2572, 633, F25, 37) (dual of [633, 561, 38]-code) | [i] | ✔ | |
| 27 | Linear OA(2581, 636, F25, 41) (dual of [636, 555, 42]-code) | [i] | ✔ | |
| 28 | Linear OA(2573, 636, F25, 37) (dual of [636, 563, 38]-code) | [i] | ✔ | |
| 29 | Linear OA(2584, 639, F25, 42) (dual of [639, 555, 43]-code) | [i] | ✔ | |
| 30 | Linear OA(2574, 639, F25, 37) (dual of [639, 565, 38]-code) | [i] | ✔ | |
| 31 | Linear OA(2587, 642, F25, 43) (dual of [642, 555, 44]-code) | [i] | ✔ | |
| 32 | Linear OA(2575, 642, F25, 37) (dual of [642, 567, 38]-code) | [i] | ✔ | |
| 33 | Linear OA(2590, 645, F25, 44) (dual of [645, 555, 45]-code) | [i] | ✔ | |
| 34 | Linear OA(2576, 645, F25, 37) (dual of [645, 569, 38]-code) | [i] | ✔ | |
| 35 | Linear OA(2593, 648, F25, 45) (dual of [648, 555, 46]-code) | [i] | ✔ | |
| 36 | Linear OA(2577, 648, F25, 37) (dual of [648, 571, 38]-code) | [i] | ✔ | |
| 37 | Linear OA(2596, 651, F25, 46) (dual of [651, 555, 47]-code) | [i] | ✔ | |
| 38 | Linear OA(2578, 651, F25, 37) (dual of [651, 573, 38]-code) | [i] | ✔ | |
| 39 | Linear OA(25100, 654, F25, 47) (dual of [654, 554, 48]-code) | [i] | ✔ | |
| 40 | Linear OA(25101, 656, F25, 47) (dual of [656, 555, 48]-code) | [i] | ✔ | |
| 41 | Linear OA(2580, 654, F25, 37) (dual of [654, 574, 38]-code) | [i] | ✔ | |
| 42 | Linear OA(2581, 656, F25, 37) (dual of [656, 575, 38]-code) | [i] | ✔ | |
| 43 | Linear OA(25105, 660, F25, 48) (dual of [660, 555, 49]-code) | [i] | ✔ | |
| 44 | Linear OA(2583, 659, F25, 37) (dual of [659, 576, 38]-code) | [i] | ✔ | |
| 45 | Linear OA(25108, 663, F25, 49) (dual of [663, 555, 50]-code) | [i] | ✔ | |
| 46 | Linear OA(2585, 663, F25, 37) (dual of [663, 578, 38]-code) | [i] | ✔ | |
| 47 | Linear OA(2586, 666, F25, 37) (dual of [666, 580, 38]-code) | [i] | ✔ | |
| 48 | Linear OA(2587, 669, F25, 37) (dual of [669, 582, 38]-code) | [i] | ✔ | |
| 49 | Linear OA(2588, 672, F25, 37) (dual of [672, 584, 38]-code) | [i] | ✔ | |
| 50 | Linear OA(2589, 675, F25, 37) (dual of [675, 586, 38]-code) | [i] | ✔ | |
| 51 | Linear OA(2590, 677, F25, 37) (dual of [677, 587, 38]-code) | [i] | ✔ | |
| 52 | Linear OA(2591, 679, F25, 37) (dual of [679, 588, 38]-code) | [i] | ✔ | |