Information on Result #693755
Linear OA(2573, 626, F25, 37) (dual of [626, 553, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 254−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound)
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(2578, 631, F25, 39) (dual of [631, 553, 40]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(2574, 631, F25, 37) (dual of [631, 557, 38]-code) | [i] | ✔ | |
| 3 | Linear OA(2584, 637, F25, 41) (dual of [637, 553, 42]-code) | [i] | ✔ | |
| 4 | Linear OA(2576, 637, F25, 37) (dual of [637, 561, 38]-code) | [i] | ✔ | |
| 5 | Linear OA(2590, 643, F25, 43) (dual of [643, 553, 44]-code) | [i] | ✔ | |
| 6 | Linear OA(2578, 643, F25, 37) (dual of [643, 565, 38]-code) | [i] | ✔ | |
| 7 | Linear OA(2596, 649, F25, 45) (dual of [649, 553, 46]-code) | [i] | ✔ | |
| 8 | Linear OA(2580, 649, F25, 37) (dual of [649, 569, 38]-code) | [i] | ✔ | |
| 9 | Linear OA(25102, 652, F25, 47) (dual of [652, 550, 48]-code) | [i] | ✔ | |
| 10 | Linear OA(25103, 655, F25, 47) (dual of [655, 552, 48]-code) | [i] | ✔ | |
| 11 | Linear OA(25104, 657, F25, 47) (dual of [657, 553, 48]-code) | [i] | ✔ | |
| 12 | Linear OA(25101, 652, F25, 46) (dual of [652, 551, 47]-code) | [i] | ✔ | |
| 13 | Linear OA(25102, 655, F25, 46) (dual of [655, 553, 47]-code) | [i] | ✔ | |
| 14 | Linear OA(2582, 652, F25, 37) (dual of [652, 570, 38]-code) | [i] | ✔ | |
| 15 | Linear OA(2583, 655, F25, 37) (dual of [655, 572, 38]-code) | [i] | ✔ | |
| 16 | Linear OA(2584, 657, F25, 37) (dual of [657, 573, 38]-code) | [i] | ✔ | |
| 17 | Linear OA(2581, 652, F25, 36) (dual of [652, 571, 37]-code) | [i] | ✔ | |
| 18 | Linear OA(2582, 655, F25, 36) (dual of [655, 573, 37]-code) | [i] | ✔ | |
| 19 | Linear OA(25110, 663, F25, 48) (dual of [663, 553, 49]-code) | [i] | ✔ | |
| 20 | Linear OA(2587, 664, F25, 37) (dual of [664, 577, 38]-code) | [i] | ✔ | |
| 21 | Linear OA(2589, 670, F25, 37) (dual of [670, 581, 38]-code) | [i] | ✔ | |
| 22 | Linear OA(25109, 659, F25, 48) (dual of [659, 550, 49]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 23 | Linear OA(25105, 659, F25, 46) (dual of [659, 554, 47]-code) | [i] | ✔ | |
| 24 | Linear OA(2585, 659, F25, 36) (dual of [659, 574, 37]-code) | [i] | ✔ | |