Information on Result #617071
Linear OA(2562, 625, F25, 33) (dual of [625, 563, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33
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(5124, 1250, F5, 33) (dual of [1250, 1126, 34]-code) | [i] | Trace Code | |
| 2 | Linear OA(2578, 651, F25, 33) (dual of [651, 573, 34]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(2579, 654, F25, 33) (dual of [654, 575, 34]-code) | [i] | ||
| 4 | Linear OA(2580, 656, F25, 33) (dual of [656, 576, 34]-code) | [i] | ||
| 5 | Linear OA(2581, 677, F25, 33) (dual of [677, 596, 34]-code) | [i] | ||
| 6 | Linear OA(2582, 691, F25, 33) (dual of [691, 609, 34]-code) | [i] | ||
| 7 | Linear OA(2583, 693, F25, 33) (dual of [693, 610, 34]-code) | [i] | ||
| 8 | Linear OA(2584, 695, F25, 33) (dual of [695, 611, 34]-code) | [i] | ||
| 9 | Linear OA(2585, 697, F25, 33) (dual of [697, 612, 34]-code) | [i] | ||
| 10 | Linear OA(2586, 699, F25, 33) (dual of [699, 613, 34]-code) | [i] | ||
| 11 | Linear OA(2587, 729, F25, 33) (dual of [729, 642, 34]-code) | [i] | ||
| 12 | Linear OA(2588, 751, F25, 33) (dual of [751, 663, 34]-code) | [i] | ||
| 13 | Linear OA(2589, 753, F25, 33) (dual of [753, 664, 34]-code) | [i] | ||
| 14 | Linear OA(2590, 755, F25, 33) (dual of [755, 665, 34]-code) | [i] | ||
| 15 | Linear OA(2591, 781, F25, 33) (dual of [781, 690, 34]-code) | [i] | ||
| 16 | Linear OA(2592, 938, F25, 33) (dual of [938, 846, 34]-code) | [i] | ||
| 17 | Linear OA(2585, 649, F25, 33) (dual of [649, 564, 34]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 18 | Linear OA(2586, 651, F25, 33) (dual of [651, 565, 34]-code) | [i] | ||
| 19 | Linear OA(2587, 653, F25, 33) (dual of [653, 566, 34]-code) | [i] | ||
| 20 | Linear OA(2588, 655, F25, 33) (dual of [655, 567, 34]-code) | [i] | ||
| 21 | Linear OA(2564, 627, F25, 34) (dual of [627, 563, 35]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 22 | Linear OA(2562, 627, F25, 33) (dual of [627, 565, 34]-code) | [i] | ✔ | |
| 23 | Linear OA(2567, 630, F25, 35) (dual of [630, 563, 36]-code) | [i] | ✔ | |
| 24 | Linear OA(2563, 630, F25, 33) (dual of [630, 567, 34]-code) | [i] | ✔ | |
| 25 | Linear OA(2570, 633, F25, 36) (dual of [633, 563, 37]-code) | [i] | ✔ | |
| 26 | Linear OA(2564, 633, F25, 33) (dual of [633, 569, 34]-code) | [i] | ✔ | |
| 27 | Linear OA(2573, 636, F25, 37) (dual of [636, 563, 38]-code) | [i] | ✔ | |
| 28 | Linear OA(2565, 636, F25, 33) (dual of [636, 571, 34]-code) | [i] | ✔ | |
| 29 | Linear OA(2576, 639, F25, 38) (dual of [639, 563, 39]-code) | [i] | ✔ | |
| 30 | Linear OA(2566, 639, F25, 33) (dual of [639, 573, 34]-code) | [i] | ✔ | |
| 31 | Linear OA(2579, 642, F25, 39) (dual of [642, 563, 40]-code) | [i] | ✔ | |
| 32 | Linear OA(2567, 642, F25, 33) (dual of [642, 575, 34]-code) | [i] | ✔ | |
| 33 | Linear OA(2582, 645, F25, 40) (dual of [645, 563, 41]-code) | [i] | ✔ | |
| 34 | Linear OA(2568, 644, F25, 33) (dual of [644, 576, 34]-code) | [i] | ✔ | |
| 35 | Linear OA(2585, 648, F25, 41) (dual of [648, 563, 42]-code) | [i] | ✔ | |
| 36 | Linear OA(2570, 648, F25, 33) (dual of [648, 578, 34]-code) | [i] | ✔ | |
| 37 | Linear OA(2588, 651, F25, 42) (dual of [651, 563, 43]-code) | [i] | ✔ | |
| 38 | Linear OA(2571, 651, F25, 33) (dual of [651, 580, 34]-code) | [i] | ✔ | |
| 39 | Linear OA(2592, 654, F25, 43) (dual of [654, 562, 44]-code) | [i] | ✔ | |
| 40 | Linear OA(2593, 656, F25, 43) (dual of [656, 563, 44]-code) | [i] | ✔ | |
| 41 | Linear OA(2573, 654, F25, 33) (dual of [654, 581, 34]-code) | [i] | ✔ | |
| 42 | Linear OA(2574, 656, F25, 33) (dual of [656, 582, 34]-code) | [i] | ✔ | |
| 43 | Linear OA(2597, 660, F25, 44) (dual of [660, 563, 45]-code) | [i] | ✔ | |
| 44 | Linear OA(2576, 660, F25, 33) (dual of [660, 584, 34]-code) | [i] | ✔ | |
| 45 | Linear OA(25100, 663, F25, 45) (dual of [663, 563, 46]-code) | [i] | ✔ | |
| 46 | Linear OA(2577, 663, F25, 33) (dual of [663, 586, 34]-code) | [i] | ✔ | |
| 47 | Linear OA(25103, 666, F25, 46) (dual of [666, 563, 47]-code) | [i] | ✔ | |
| 48 | Linear OA(2578, 666, F25, 33) (dual of [666, 588, 34]-code) | [i] | ✔ | |
| 49 | Linear OA(25106, 669, F25, 47) (dual of [669, 563, 48]-code) | [i] | ✔ | |
| 50 | Linear OA(2579, 669, F25, 33) (dual of [669, 590, 34]-code) | [i] | ✔ | |
| 51 | Linear OA(25109, 672, F25, 48) (dual of [672, 563, 49]-code) | [i] | ✔ | |
| 52 | Linear OA(2580, 672, F25, 33) (dual of [672, 592, 34]-code) | [i] | ✔ | |