Information on Result #617010
Linear OA(2554, 625, F25, 29) (dual of [625, 571, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29
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(5108, 1250, F5, 29) (dual of [1250, 1142, 30]-code) | [i] | Trace Code | |
| 2 | Linear OA(2568, 651, F25, 29) (dual of [651, 583, 30]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(2569, 654, F25, 29) (dual of [654, 585, 30]-code) | [i] | ||
| 4 | Linear OA(2570, 656, F25, 29) (dual of [656, 586, 30]-code) | [i] | ||
| 5 | Linear OA(2571, 677, F25, 29) (dual of [677, 606, 30]-code) | [i] | ||
| 6 | Linear OA(2572, 691, F25, 29) (dual of [691, 619, 30]-code) | [i] | ||
| 7 | Linear OA(2573, 693, F25, 29) (dual of [693, 620, 30]-code) | [i] | ||
| 8 | Linear OA(2574, 695, F25, 29) (dual of [695, 621, 30]-code) | [i] | ||
| 9 | Linear OA(2575, 697, F25, 29) (dual of [697, 622, 30]-code) | [i] | ||
| 10 | Linear OA(2576, 699, F25, 29) (dual of [699, 623, 30]-code) | [i] | ||
| 11 | Linear OA(2577, 729, F25, 29) (dual of [729, 652, 30]-code) | [i] | ||
| 12 | Linear OA(2578, 751, F25, 29) (dual of [751, 673, 30]-code) | [i] | ||
| 13 | Linear OA(2579, 781, F25, 29) (dual of [781, 702, 30]-code) | [i] | ||
| 14 | Linear OA(2580, 938, F25, 29) (dual of [938, 858, 30]-code) | [i] | ||
| 15 | Linear OA(2573, 645, F25, 29) (dual of [645, 572, 30]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 16 | Linear OA(2574, 647, F25, 29) (dual of [647, 573, 30]-code) | [i] | ||
| 17 | Linear OA(2575, 649, F25, 29) (dual of [649, 574, 30]-code) | [i] | ||
| 18 | Linear OA(2577, 677, F25, 29) (dual of [677, 600, 30]-code) | [i] | ||
| 19 | Linear OA(2578, 680, F25, 29) (dual of [680, 602, 30]-code) | [i] | ||
| 20 | Linear OA(2579, 683, F25, 29) (dual of [683, 604, 30]-code) | [i] | ||
| 21 | Linear OA(2580, 685, F25, 29) (dual of [685, 605, 30]-code) | [i] | ||
| 22 | Linear OA(2580, 703, F25, 29) (dual of [703, 623, 30]-code) | [i] | ||
| 23 | Linear OA(2556, 627, F25, 30) (dual of [627, 571, 31]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 24 | Linear OA(2554, 627, F25, 29) (dual of [627, 573, 30]-code) | [i] | ✔ | |
| 25 | Linear OA(2559, 630, F25, 31) (dual of [630, 571, 32]-code) | [i] | ✔ | |
| 26 | Linear OA(2555, 630, F25, 29) (dual of [630, 575, 30]-code) | [i] | ✔ | |
| 27 | Linear OA(2562, 633, F25, 32) (dual of [633, 571, 33]-code) | [i] | ✔ | |
| 28 | Linear OA(2556, 632, F25, 29) (dual of [632, 576, 30]-code) | [i] | ✔ | |
| 29 | Linear OA(2565, 636, F25, 33) (dual of [636, 571, 34]-code) | [i] | ✔ | |
| 30 | Linear OA(2558, 636, F25, 29) (dual of [636, 578, 30]-code) | [i] | ✔ | |
| 31 | Linear OA(2568, 639, F25, 34) (dual of [639, 571, 35]-code) | [i] | ✔ | |
| 32 | Linear OA(2559, 639, F25, 29) (dual of [639, 580, 30]-code) | [i] | ✔ | |
| 33 | Linear OA(2571, 642, F25, 35) (dual of [642, 571, 36]-code) | [i] | ✔ | |
| 34 | Linear OA(2560, 642, F25, 29) (dual of [642, 582, 30]-code) | [i] | ✔ | |
| 35 | Linear OA(2574, 645, F25, 36) (dual of [645, 571, 37]-code) | [i] | ✔ | |
| 36 | Linear OA(2561, 645, F25, 29) (dual of [645, 584, 30]-code) | [i] | ✔ | |
| 37 | Linear OA(2577, 648, F25, 37) (dual of [648, 571, 38]-code) | [i] | ✔ | |
| 38 | Linear OA(2562, 648, F25, 29) (dual of [648, 586, 30]-code) | [i] | ✔ | |
| 39 | Linear OA(2580, 651, F25, 38) (dual of [651, 571, 39]-code) | [i] | ✔ | |
| 40 | Linear OA(2563, 651, F25, 29) (dual of [651, 588, 30]-code) | [i] | ✔ | |
| 41 | Linear OA(2584, 654, F25, 39) (dual of [654, 570, 40]-code) | [i] | ✔ | |
| 42 | Linear OA(2585, 656, F25, 39) (dual of [656, 571, 40]-code) | [i] | ✔ | |
| 43 | Linear OA(2565, 654, F25, 29) (dual of [654, 589, 30]-code) | [i] | ✔ | |
| 44 | Linear OA(2566, 656, F25, 29) (dual of [656, 590, 30]-code) | [i] | ✔ | |
| 45 | Linear OA(2589, 660, F25, 40) (dual of [660, 571, 41]-code) | [i] | ✔ | |
| 46 | Linear OA(2568, 660, F25, 29) (dual of [660, 592, 30]-code) | [i] | ✔ | |
| 47 | Linear OA(2592, 663, F25, 41) (dual of [663, 571, 42]-code) | [i] | ✔ | |
| 48 | Linear OA(2569, 663, F25, 29) (dual of [663, 594, 30]-code) | [i] | ✔ | |
| 49 | Linear OA(2595, 666, F25, 42) (dual of [666, 571, 43]-code) | [i] | ✔ | |
| 50 | Linear OA(2570, 666, F25, 29) (dual of [666, 596, 30]-code) | [i] | ✔ | |
| 51 | Linear OA(2598, 669, F25, 43) (dual of [669, 571, 44]-code) | [i] | ✔ | |
| 52 | Linear OA(25101, 672, F25, 44) (dual of [672, 571, 45]-code) | [i] | ✔ | |
| 53 | Linear OA(25104, 675, F25, 45) (dual of [675, 571, 46]-code) | [i] | ✔ | |
| 54 | Linear OA(25107, 677, F25, 46) (dual of [677, 570, 47]-code) | [i] | ✔ | |
| 55 | Linear OA(25108, 679, F25, 46) (dual of [679, 571, 47]-code) | [i] | ✔ | |