Information on Result #614096
Linear OA(595, 125, F5, 49) (dual of [125, 30, 50]-code), using an extension Ce(48) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(5110, 138, F5, 62) (dual of [138, 28, 63]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(5112, 141, F5, 62) (dual of [141, 29, 63]-code) | [i] | ✔ | |
| 3 | Linear OA(5113, 143, F5, 62) (dual of [143, 30, 63]-code) | [i] | ✔ | |
| 4 | Linear OA(5111, 141, F5, 61) (dual of [141, 30, 62]-code) | [i] | ✔ | |
| 5 | Linear OA(5108, 137, F5, 59) (dual of [137, 29, 60]-code) | [i] | ✔ | |
| 6 | Linear OA(5106, 136, F5, 57) (dual of [136, 30, 58]-code) | [i] | ✔ | |
| 7 | Linear OA(5102, 131, F5, 54) (dual of [131, 29, 55]-code) | [i] | ✔ | |
| 8 | Linear OA(5101, 131, F5, 53) (dual of [131, 30, 54]-code) | [i] | ✔ | |
| 9 | Linear OA(595, 128, F5, 49) (dual of [128, 33, 50]-code) | [i] | ✔ | |
| 10 | Linear OA(5114, 142, F5, 63) (dual of [142, 28, 64]-code) | [i] | ✔ | |
| 11 | Linear OA(5115, 145, F5, 63) (dual of [145, 30, 64]-code) | [i] | ✔ | |
| 12 | Linear OA(596, 132, F5, 49) (dual of [132, 36, 50]-code) | [i] | ✔ | |
| 13 | Linear OA(5116, 144, F5, 64) (dual of [144, 28, 65]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 14 | Linear OA(5114, 143, F5, 63) (dual of [143, 29, 64]-code) | [i] | ✔ | |
| 15 | Linear OA(5112, 140, F5, 63) (dual of [140, 28, 64]-code) | [i] | ✔ | |
| 16 | Linear OA(5117, 148, F5, 63) (dual of [148, 31, 64]-code) | [i] | ✔ | |
| 17 | Linear OA(5108, 139, F5, 57) (dual of [139, 31, 58]-code) | [i] | ✔ | |
| 18 | Linear OA(5105, 136, F5, 55) (dual of [136, 31, 56]-code) | [i] | ✔ | |
| 19 | Linear OA(5101, 132, F5, 52) (dual of [132, 31, 53]-code) | [i] | ✔ | |
| 20 | Linear OA(599, 136, F5, 49) (dual of [136, 37, 50]-code) | [i] | ✔ | |
| 21 | Linear OA(5110, 142, F5, 58) (dual of [142, 32, 59]-code) | [i] | ✔ | |
| 22 | Linear OA(5109, 140, F5, 58) (dual of [140, 31, 59]-code) | [i] | ✔ | |
| 23 | Linear OA(5107, 138, F5, 57) (dual of [138, 31, 58]-code) | [i] | ✔ | |