Information on Result #693761
Linear OA(2561, 626, F25, 31) (dual of [626, 565, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 254−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (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(2566, 631, F25, 33) (dual of [631, 565, 34]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(2562, 631, F25, 31) (dual of [631, 569, 32]-code) | [i] | ✔ | |
| 3 | Linear OA(2572, 637, F25, 35) (dual of [637, 565, 36]-code) | [i] | ✔ | |
| 4 | Linear OA(2564, 637, F25, 31) (dual of [637, 573, 32]-code) | [i] | ✔ | |
| 5 | Linear OA(2578, 643, F25, 37) (dual of [643, 565, 38]-code) | [i] | ✔ | |
| 6 | Linear OA(2566, 643, F25, 31) (dual of [643, 577, 32]-code) | [i] | ✔ | |
| 7 | Linear OA(2584, 649, F25, 39) (dual of [649, 565, 40]-code) | [i] | ✔ | |
| 8 | Linear OA(2568, 649, F25, 31) (dual of [649, 581, 32]-code) | [i] | ✔ | |
| 9 | Linear OA(2590, 652, F25, 41) (dual of [652, 562, 42]-code) | [i] | ✔ | |
| 10 | Linear OA(2591, 655, F25, 41) (dual of [655, 564, 42]-code) | [i] | ✔ | |
| 11 | Linear OA(2592, 657, F25, 41) (dual of [657, 565, 42]-code) | [i] | ✔ | |
| 12 | Linear OA(2589, 652, F25, 40) (dual of [652, 563, 41]-code) | [i] | ✔ | |
| 13 | Linear OA(2590, 655, F25, 40) (dual of [655, 565, 41]-code) | [i] | ✔ | |
| 14 | Linear OA(2570, 652, F25, 31) (dual of [652, 582, 32]-code) | [i] | ✔ | |
| 15 | Linear OA(2571, 655, F25, 31) (dual of [655, 584, 32]-code) | [i] | ✔ | |
| 16 | Linear OA(2572, 657, F25, 31) (dual of [657, 585, 32]-code) | [i] | ✔ | |
| 17 | Linear OA(2569, 652, F25, 30) (dual of [652, 583, 31]-code) | [i] | ✔ | |
| 18 | Linear OA(2570, 655, F25, 30) (dual of [655, 585, 31]-code) | [i] | ✔ | |
| 19 | Linear OA(2599, 664, F25, 43) (dual of [664, 565, 44]-code) | [i] | ✔ | |
| 20 | Linear OA(2575, 664, F25, 31) (dual of [664, 589, 32]-code) | [i] | ✔ | |
| 21 | Linear OA(25105, 670, F25, 45) (dual of [670, 565, 46]-code) | [i] | ✔ | |
| 22 | Linear OA(25110, 675, F25, 46) (dual of [675, 565, 47]-code) | [i] | ✔ | |
| 23 | Linear OA(2597, 659, F25, 42) (dual of [659, 562, 43]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 24 | Linear OA(2593, 659, F25, 40) (dual of [659, 566, 41]-code) | [i] | ✔ | |
| 25 | Linear OA(2573, 659, F25, 30) (dual of [659, 586, 31]-code) | [i] | ✔ | |