Information on Result #709750
Linear OA(519, 124, F5, 8) (dual of [124, 105, 9]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, 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.
Compare with Markus Grassl’s online database of code parameters.
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 OOA(519, 90, F5, 2, 8) (dual of [(90, 2), 161, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(519, 90, F5, 3, 8) (dual of [(90, 3), 251, 9]-NRT-code) | [i] | ||
| 3 | Digital (11, 19, 90)-net over F5 | [i] | ||
| 4 | Linear OA(522, 137, F5, 8) (dual of [137, 115, 9]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(527, 138, F5, 10) (dual of [138, 111, 11]-code) | [i] | ✔ | |
| 6 | Linear OA(522, 130, F5, 9) (dual of [130, 108, 10]-code) | [i] | ✔ | |
| 7 | Linear OA(526, 134, F5, 10) (dual of [134, 108, 11]-code) | [i] | ✔ | |
| 8 | Linear OA(525, 130, F5, 10) (dual of [130, 105, 11]-code) | [i] | ✔ | |
| 9 | Linear OA(540, 145, F5, 14) (dual of [145, 105, 15]-code) | [i] | ✔ | |
| 10 | Linear OA(544, 148, F5, 15) (dual of [148, 104, 16]-code) | [i] | ✔ | |
| 11 | Linear OA(546, 151, F5, 16) (dual of [151, 105, 17]-code) | [i] | ✔ | |