Information on Result #723125
Linear OA(2515, 624, F25, 8) (dual of [624, 609, 9]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9
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(2517, 628, F25, 9) (dual of [628, 611, 10]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2520, 631, F25, 10) (dual of [631, 611, 11]-code) | [i] | ✔ | |
| 3 | Linear OA(2523, 634, F25, 11) (dual of [634, 611, 12]-code) | [i] | ✔ | |
| 4 | Linear OA(2526, 637, F25, 12) (dual of [637, 611, 13]-code) | [i] | ✔ | |
| 5 | Linear OA(2529, 640, F25, 13) (dual of [640, 611, 14]-code) | [i] | ✔ | |
| 6 | Linear OA(2532, 643, F25, 14) (dual of [643, 611, 15]-code) | [i] | ✔ | |
| 7 | Linear OA(2543, 658, F25, 17) (dual of [658, 615, 18]-code) | [i] | ✔ | |
| 8 | Linear OA(2535, 646, F25, 15) (dual of [646, 611, 16]-code) | [i] | ✔ | |
| 9 | Linear OA(2546, 657, F25, 18) (dual of [657, 611, 19]-code) | [i] | ✔ | |
| 10 | Linear OA(2546, 658, F25, 18) (dual of [658, 612, 19]-code) | [i] | ✔ | |
| 11 | Linear OA(2538, 649, F25, 16) (dual of [649, 611, 17]-code) | [i] | ✔ | |
| 12 | Linear OA(2545, 655, F25, 18) (dual of [655, 610, 19]-code) | [i] | ✔ | |
| 13 | Linear OA(2519, 628, F25, 10) (dual of [628, 609, 11]-code) | [i] | ✔ | |
| 14 | Linear OA(2525, 634, F25, 12) (dual of [634, 609, 13]-code) | [i] | ✔ | |
| 15 | Linear OA(2531, 640, F25, 14) (dual of [640, 609, 15]-code) | [i] | ✔ | |
| 16 | Linear OA(2537, 646, F25, 16) (dual of [646, 609, 17]-code) | [i] | ✔ | |
| 17 | Linear OA(2543, 652, F25, 18) (dual of [652, 609, 19]-code) | [i] | ✔ | |
| 18 | Linear OA(2546, 655, F25, 19) (dual of [655, 609, 20]-code) | [i] | ✔ | |
| 19 | Linear OA(2549, 655, F25, 20) (dual of [655, 606, 21]-code) | [i] | ✔ | |
| 20 | Linear OA(2549, 658, F25, 20) (dual of [658, 609, 21]-code) | [i] | ✔ | |
| 21 | Linear OA(2552, 658, F25, 21) (dual of [658, 606, 22]-code) | [i] | ✔ | |
| 22 | Linear OA(2555, 658, F25, 22) (dual of [658, 603, 23]-code) | [i] | ✔ | |
| 23 | Linear OA(2552, 661, F25, 21) (dual of [661, 609, 22]-code) | [i] | ✔ | |
| 24 | Linear OA(2555, 661, F25, 22) (dual of [661, 606, 23]-code) | [i] | ✔ | |
| 25 | Linear OA(2558, 661, F25, 23) (dual of [661, 603, 24]-code) | [i] | ✔ | |
| 26 | Linear OA(2555, 664, F25, 22) (dual of [664, 609, 23]-code) | [i] | ✔ | |
| 27 | Linear OA(2558, 664, F25, 23) (dual of [664, 606, 24]-code) | [i] | ✔ | |
| 28 | Linear OA(2561, 664, F25, 24) (dual of [664, 603, 25]-code) | [i] | ✔ | |
| 29 | Linear OA(2558, 667, F25, 23) (dual of [667, 609, 24]-code) | [i] | ✔ | |
| 30 | Linear OA(2561, 667, F25, 24) (dual of [667, 606, 25]-code) | [i] | ✔ | |
| 31 | Linear OA(2561, 670, F25, 24) (dual of [670, 609, 25]-code) | [i] | ✔ | |