Information on Result #617184
Linear OA(2586, 625, F25, 45) (dual of [625, 539, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45
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(25108, 651, F25, 45) (dual of [651, 543, 46]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(25109, 654, F25, 45) (dual of [654, 545, 46]-code) | [i] | ||
| 3 | Linear OA(25110, 656, F25, 45) (dual of [656, 546, 46]-code) | [i] | ||
| 4 | Linear OA(2588, 627, F25, 46) (dual of [627, 539, 47]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(2586, 627, F25, 45) (dual of [627, 541, 46]-code) | [i] | ✔ | |
| 6 | Linear OA(2591, 630, F25, 47) (dual of [630, 539, 48]-code) | [i] | ✔ | |
| 7 | Linear OA(2587, 630, F25, 45) (dual of [630, 543, 46]-code) | [i] | ✔ | |
| 8 | Linear OA(2594, 633, F25, 48) (dual of [633, 539, 49]-code) | [i] | ✔ | |
| 9 | Linear OA(2588, 633, F25, 45) (dual of [633, 545, 46]-code) | [i] | ✔ | |
| 10 | Linear OA(2597, 636, F25, 49) (dual of [636, 539, 50]-code) | [i] | ✔ | |
| 11 | Linear OA(2589, 636, F25, 45) (dual of [636, 547, 46]-code) | [i] | ✔ | |
| 12 | Linear OA(25102, 641, F25, 52) (dual of [641, 539, 53]-code) | [i] | ✔ | |
| 13 | Linear OA(2590, 639, F25, 45) (dual of [639, 549, 46]-code) | [i] | ✔ | |
| 14 | Linear OA(25104, 643, F25, 53) (dual of [643, 539, 54]-code) | [i] | ✔ | |
| 15 | Linear OA(2591, 642, F25, 45) (dual of [642, 551, 46]-code) | [i] | ✔ | |
| 16 | Linear OA(25107, 646, F25, 54) (dual of [646, 539, 55]-code) | [i] | ✔ | |
| 17 | Linear OA(2592, 645, F25, 45) (dual of [645, 553, 46]-code) | [i] | ✔ | |
| 18 | Linear OA(25110, 649, F25, 55) (dual of [649, 539, 56]-code) | [i] | ✔ | |
| 19 | Linear OA(2593, 648, F25, 45) (dual of [648, 555, 46]-code) | [i] | ✔ | |
| 20 | Linear OA(2594, 651, F25, 45) (dual of [651, 557, 46]-code) | [i] | ✔ | |
| 21 | Linear OA(2596, 654, F25, 45) (dual of [654, 558, 46]-code) | [i] | ✔ | |
| 22 | Linear OA(2597, 656, F25, 45) (dual of [656, 559, 46]-code) | [i] | ✔ | |
| 23 | Linear OA(2599, 660, F25, 45) (dual of [660, 561, 46]-code) | [i] | ✔ | |
| 24 | Linear OA(25100, 663, F25, 45) (dual of [663, 563, 46]-code) | [i] | ✔ | |
| 25 | Linear OA(25101, 666, F25, 45) (dual of [666, 565, 46]-code) | [i] | ✔ | |
| 26 | Linear OA(25102, 669, F25, 45) (dual of [669, 567, 46]-code) | [i] | ✔ | |
| 27 | Linear OA(25103, 672, F25, 45) (dual of [672, 569, 46]-code) | [i] | ✔ | |
| 28 | Linear OA(25104, 675, F25, 45) (dual of [675, 571, 46]-code) | [i] | ✔ | |
| 29 | Linear OA(25105, 677, F25, 45) (dual of [677, 572, 46]-code) | [i] | ✔ | |
| 30 | Linear OA(25106, 679, F25, 45) (dual of [679, 573, 46]-code) | [i] | ✔ | |
| 31 | Linear OA(25107, 682, F25, 45) (dual of [682, 575, 46]-code) | [i] | ✔ | |
| 32 | Linear OA(25108, 684, F25, 45) (dual of [684, 576, 46]-code) | [i] | ✔ | |
| 33 | Linear OA(25110, 688, F25, 45) (dual of [688, 578, 46]-code) | [i] | ✔ | |