Information on Result #723104
Linear OA(2513, 624, F25, 7) (dual of [624, 611, 8]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2515, 628, F25, 8) (dual of [628, 613, 9]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2521, 634, F25, 10) (dual of [634, 613, 11]-code) | [i] | ✔ | |
| 3 | Linear OA(2527, 640, F25, 12) (dual of [640, 613, 13]-code) | [i] | ✔ | |
| 4 | Linear OA(2541, 657, F25, 16) (dual of [657, 616, 17]-code) | [i] | ✔ | |
| 5 | Linear OA(2541, 658, F25, 16) (dual of [658, 617, 17]-code) | [i] | ✔ | |
| 6 | Linear OA(2533, 646, F25, 14) (dual of [646, 613, 15]-code) | [i] | ✔ | |
| 7 | Linear OA(2540, 655, F25, 16) (dual of [655, 615, 17]-code) | [i] | ✔ | |
| 8 | Linear OA(2539, 652, F25, 16) (dual of [652, 613, 17]-code) | [i] | ✔ | |
| 9 | Linear OA(2517, 628, F25, 9) (dual of [628, 611, 10]-code) | [i] | ✔ | |
| 10 | Linear OA(2520, 631, F25, 10) (dual of [631, 611, 11]-code) | [i] | ✔ | |
| 11 | Linear OA(2523, 634, F25, 11) (dual of [634, 611, 12]-code) | [i] | ✔ | |
| 12 | Linear OA(2526, 637, F25, 12) (dual of [637, 611, 13]-code) | [i] | ✔ | |
| 13 | Linear OA(2529, 640, F25, 13) (dual of [640, 611, 14]-code) | [i] | ✔ | |
| 14 | Linear OA(2532, 643, F25, 14) (dual of [643, 611, 15]-code) | [i] | ✔ | |
| 15 | Linear OA(2535, 646, F25, 15) (dual of [646, 611, 16]-code) | [i] | ✔ | |
| 16 | Linear OA(2538, 649, F25, 16) (dual of [649, 611, 17]-code) | [i] | ✔ | |
| 17 | Linear OA(2544, 655, F25, 18) (dual of [655, 611, 19]-code) | [i] | ✔ | |
| 18 | Linear OA(2547, 658, F25, 19) (dual of [658, 611, 20]-code) | [i] | ✔ | |
| 19 | Linear OA(2550, 658, F25, 20) (dual of [658, 608, 21]-code) | [i] | ✔ | |
| 20 | Linear OA(2550, 661, F25, 20) (dual of [661, 611, 21]-code) | [i] | ✔ | |
| 21 | Linear OA(2553, 661, F25, 21) (dual of [661, 608, 22]-code) | [i] | ✔ | |
| 22 | Linear OA(2556, 661, F25, 22) (dual of [661, 605, 23]-code) | [i] | ✔ | |
| 23 | Linear OA(2553, 664, F25, 21) (dual of [664, 611, 22]-code) | [i] | ✔ | |
| 24 | Linear OA(2556, 664, F25, 22) (dual of [664, 608, 23]-code) | [i] | ✔ | |
| 25 | Linear OA(2556, 667, F25, 22) (dual of [667, 611, 23]-code) | [i] | ✔ | |