Information on Result #723426
Linear OA(2529, 624, F25, 15) (dual of [624, 595, 16]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16
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
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2531, 628, F25, 16) (dual of [628, 597, 17]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2561, 669, F25, 24) (dual of [669, 608, 25]-code) | [i] | ✔ | |
| 3 | Linear OA(2561, 670, F25, 24) (dual of [670, 609, 25]-code) | [i] | ✔ | |
| 4 | Linear OA(2537, 634, F25, 18) (dual of [634, 597, 19]-code) | [i] | ✔ | |
| 5 | Linear OA(2560, 666, F25, 24) (dual of [666, 606, 25]-code) | [i] | ✔ | |
| 6 | Linear OA(2560, 667, F25, 24) (dual of [667, 607, 25]-code) | [i] | ✔ | |
| 7 | Linear OA(2559, 663, F25, 24) (dual of [663, 604, 25]-code) | [i] | ✔ | |
| 8 | Linear OA(2559, 664, F25, 24) (dual of [664, 605, 25]-code) | [i] | ✔ | |
| 9 | Linear OA(2543, 640, F25, 20) (dual of [640, 597, 21]-code) | [i] | ✔ | |
| 10 | Linear OA(2558, 660, F25, 24) (dual of [660, 602, 25]-code) | [i] | ✔ | |
| 11 | Linear OA(2562, 664, F25, 25) (dual of [664, 602, 26]-code) | [i] | ✔ | |
| 12 | Linear OA(2558, 661, F25, 24) (dual of [661, 603, 25]-code) | [i] | ✔ | |
| 13 | Linear OA(2557, 657, F25, 24) (dual of [657, 600, 25]-code) | [i] | ✔ | |
| 14 | Linear OA(2561, 661, F25, 25) (dual of [661, 600, 26]-code) | [i] | ✔ | |
| 15 | Linear OA(2557, 658, F25, 24) (dual of [658, 601, 25]-code) | [i] | ✔ | |
| 16 | Linear OA(2549, 646, F25, 22) (dual of [646, 597, 23]-code) | [i] | ✔ | |
| 17 | Linear OA(2556, 654, F25, 24) (dual of [654, 598, 25]-code) | [i] | ✔ | |
| 18 | Linear OA(2560, 658, F25, 25) (dual of [658, 598, 26]-code) | [i] | ✔ | |
| 19 | Linear OA(2556, 655, F25, 24) (dual of [655, 599, 25]-code) | [i] | ✔ | |
| 20 | Linear OA(2555, 652, F25, 24) (dual of [652, 597, 25]-code) | [i] | ✔ | |
| 21 | Linear OA(2533, 628, F25, 17) (dual of [628, 595, 18]-code) | [i] | ✔ | |
| 22 | Linear OA(2536, 631, F25, 18) (dual of [631, 595, 19]-code) | [i] | ✔ | |
| 23 | Linear OA(2539, 634, F25, 19) (dual of [634, 595, 20]-code) | [i] | ✔ | |
| 24 | Linear OA(2542, 637, F25, 20) (dual of [637, 595, 21]-code) | [i] | ✔ | |
| 25 | Linear OA(2545, 640, F25, 21) (dual of [640, 595, 22]-code) | [i] | ✔ | |
| 26 | Linear OA(2548, 643, F25, 22) (dual of [643, 595, 23]-code) | [i] | ✔ | |
| 27 | Linear OA(2551, 646, F25, 23) (dual of [646, 595, 24]-code) | [i] | ✔ | |
| 28 | Linear OA(2554, 649, F25, 24) (dual of [649, 595, 25]-code) | [i] | ✔ | |
| 29 | Linear OA(2557, 652, F25, 25) (dual of [652, 595, 26]-code) | [i] | ✔ | |