Information on Result #723318
Linear OA(2525, 624, F25, 13) (dual of [624, 599, 14]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2527, 628, F25, 14) (dual of [628, 601, 15]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2533, 634, F25, 16) (dual of [634, 601, 17]-code) | [i] | ✔ | |
| 3 | Linear OA(2556, 666, F25, 22) (dual of [666, 610, 23]-code) | [i] | ✔ | |
| 4 | Linear OA(2556, 667, F25, 22) (dual of [667, 611, 23]-code) | [i] | ✔ | |
| 5 | Linear OA(2555, 663, F25, 22) (dual of [663, 608, 23]-code) | [i] | ✔ | |
| 6 | Linear OA(2555, 664, F25, 22) (dual of [664, 609, 23]-code) | [i] | ✔ | |
| 7 | Linear OA(2539, 640, F25, 18) (dual of [640, 601, 19]-code) | [i] | ✔ | |
| 8 | Linear OA(2554, 660, F25, 22) (dual of [660, 606, 23]-code) | [i] | ✔ | |
| 9 | Linear OA(2558, 663, F25, 23) (dual of [663, 605, 24]-code) | [i] | ✔ | |
| 10 | Linear OA(2558, 664, F25, 23) (dual of [664, 606, 24]-code) | [i] | ✔ | |
| 11 | Linear OA(2554, 661, F25, 22) (dual of [661, 607, 23]-code) | [i] | ✔ | |
| 12 | Linear OA(2553, 657, F25, 22) (dual of [657, 604, 23]-code) | [i] | ✔ | |
| 13 | Linear OA(2557, 660, F25, 23) (dual of [660, 603, 24]-code) | [i] | ✔ | |
| 14 | Linear OA(2561, 664, F25, 24) (dual of [664, 603, 25]-code) | [i] | ✔ | |
| 15 | Linear OA(2557, 661, F25, 23) (dual of [661, 604, 24]-code) | [i] | ✔ | |
| 16 | Linear OA(2553, 658, F25, 22) (dual of [658, 605, 23]-code) | [i] | ✔ | |
| 17 | Linear OA(2545, 646, F25, 20) (dual of [646, 601, 21]-code) | [i] | ✔ | |
| 18 | Linear OA(2552, 654, F25, 22) (dual of [654, 602, 23]-code) | [i] | ✔ | |
| 19 | Linear OA(2560, 661, F25, 24) (dual of [661, 601, 25]-code) | [i] | ✔ | |
| 20 | Linear OA(2556, 658, F25, 23) (dual of [658, 602, 24]-code) | [i] | ✔ | |
| 21 | Linear OA(2552, 655, F25, 22) (dual of [655, 603, 23]-code) | [i] | ✔ | |
| 22 | Linear OA(2559, 658, F25, 24) (dual of [658, 599, 25]-code) | [i] | ✔ | |
| 23 | Linear OA(2551, 652, F25, 22) (dual of [652, 601, 23]-code) | [i] | ✔ | |
| 24 | Linear OA(2529, 628, F25, 15) (dual of [628, 599, 16]-code) | [i] | ✔ | |
| 25 | Linear OA(2532, 631, F25, 16) (dual of [631, 599, 17]-code) | [i] | ✔ | |
| 26 | Linear OA(2535, 634, F25, 17) (dual of [634, 599, 18]-code) | [i] | ✔ | |
| 27 | Linear OA(2538, 637, F25, 18) (dual of [637, 599, 19]-code) | [i] | ✔ | |
| 28 | Linear OA(2541, 640, F25, 19) (dual of [640, 599, 20]-code) | [i] | ✔ | |
| 29 | Linear OA(2544, 643, F25, 20) (dual of [643, 599, 21]-code) | [i] | ✔ | |
| 30 | Linear OA(2547, 646, F25, 21) (dual of [646, 599, 22]-code) | [i] | ✔ | |
| 31 | Linear OA(2550, 649, F25, 22) (dual of [649, 599, 23]-code) | [i] | ✔ | |
| 32 | Linear OA(2553, 652, F25, 23) (dual of [652, 599, 24]-code) | [i] | ✔ | |
| 33 | Linear OA(2556, 655, F25, 24) (dual of [655, 599, 25]-code) | [i] | ✔ | |
| 34 | Linear OA(2559, 658, F25, 25) (dual of [658, 599, 26]-code) | [i] | ✔ | |