Information on Result #723080
Linear OA(259, 624, F25, 5) (dual of [624, 615, 6]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,4], and designed minimum distance d ≥ |I|+1 = 6
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(259, 404, F25, 2, 5) (dual of [(404, 2), 799, 6]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (4, 9, 404)-net over F25 | [i] | ||
| 3 | Linear OA(2511, 628, F25, 6) (dual of [628, 617, 7]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 4 | Linear OA(2517, 634, F25, 8) (dual of [634, 617, 9]-code) | [i] | ✔ | |
| 5 | Linear OA(2523, 640, F25, 10) (dual of [640, 617, 11]-code) | [i] | ✔ | |
| 6 | Linear OA(2513, 628, F25, 7) (dual of [628, 615, 8]-code) | [i] | ✔ | |
| 7 | Linear OA(2516, 631, F25, 8) (dual of [631, 615, 9]-code) | [i] | ✔ | |
| 8 | Linear OA(2519, 634, F25, 9) (dual of [634, 615, 10]-code) | [i] | ✔ | |
| 9 | Linear OA(2522, 637, F25, 10) (dual of [637, 615, 11]-code) | [i] | ✔ | |
| 10 | Linear OA(2525, 640, F25, 11) (dual of [640, 615, 12]-code) | [i] | ✔ | |
| 11 | Linear OA(2528, 643, F25, 12) (dual of [643, 615, 13]-code) | [i] | ✔ | |
| 12 | Linear OA(2540, 655, F25, 16) (dual of [655, 615, 17]-code) | [i] | ✔ | |
| 13 | Linear OA(2543, 658, F25, 17) (dual of [658, 615, 18]-code) | [i] | ✔ | |
| 14 | Linear OA(2546, 658, F25, 18) (dual of [658, 612, 19]-code) | [i] | ✔ | |
| 15 | Linear OA(2546, 661, F25, 18) (dual of [661, 615, 19]-code) | [i] | ✔ | |