Information on Result #710046
Linear OA(579, 124, F5, 41) (dual of [124, 45, 42]-code), using the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(579, 124, F5, 40) (dual of [124, 45, 41]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(592, 155, F5, 40) (dual of [155, 63, 41]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 3 | Linear OA(5102, 156, F5, 47) (dual of [156, 54, 48]-code) | [i] | ✔ | |
| 4 | Linear OA(5100, 154, F5, 46) (dual of [154, 54, 47]-code) | [i] | ✔ | |
| 5 | Linear OA(5107, 161, F5, 48) (dual of [161, 54, 49]-code) | [i] | ✔ | |
| 6 | Linear OA(5100, 151, F5, 47) (dual of [151, 51, 48]-code) | [i] | ✔ | |
| 7 | Linear OA(598, 146, F5, 47) (dual of [146, 48, 48]-code) | [i] | ✔ | |
| 8 | Linear OA(595, 143, F5, 45) (dual of [143, 48, 46]-code) | [i] | ✔ | |
| 9 | Linear OA(5109, 160, F5, 49) (dual of [160, 51, 50]-code) | [i] | ✔ | |
| 10 | Linear OA(591, 136, F5, 45) (dual of [136, 45, 46]-code) | [i] | ✔ | |
| 11 | Linear OA(5103, 148, F5, 49) (dual of [148, 45, 50]-code) | [i] | ✔ | |
| 12 | Linear OOA(579, 62, F5, 2, 41) (dual of [(62, 2), 45, 42]-NRT-code) | [i] | OOA Folding | |
| 13 | Linear OOA(579, 41, F5, 3, 41) (dual of [(41, 3), 44, 42]-NRT-code) | [i] | ||