Information on Result #684019
Linear OA(599, 125, F5, 63) (dual of [125, 26, 64]-code), using an extension Ce(62) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,62], and designed minimum distance d ≥ |I|+1 = 63
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(5102, 128, F5, 64) (dual of [128, 26, 65]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(5110, 136, F5, 68) (dual of [136, 26, 69]-code) | [i] | ✔ | |
| 3 | Linear OA(5107, 131, F5, 66) (dual of [131, 24, 67]-code) | [i] | ✔ | |
| 4 | Linear OA(5114, 142, F5, 63) (dual of [142, 28, 64]-code) | [i] | ✔ | |
| 5 | Linear OA(5115, 145, F5, 63) (dual of [145, 30, 64]-code) | [i] | ✔ | |
| 6 | Linear OA(5115, 141, F5, 69) (dual of [141, 26, 70]-code) | [i] | ✔ | |
| 7 | Linear OA(5128, 154, F5, 74) (dual of [154, 26, 75]-code) | [i] | ✔ | |
| 8 | Linear OA(5117, 149, F5, 63) (dual of [149, 32, 64]-code) | [i] | ✔ | |
| 9 | Linear OA(5118, 151, F5, 63) (dual of [151, 33, 64]-code) | [i] | ✔ | |
| 10 | Linear OA(5122, 146, F5, 72) (dual of [146, 24, 73]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 11 | Linear OA(5119, 143, F5, 70) (dual of [143, 24, 71]-code) | [i] | ✔ | |
| 12 | Linear OA(5116, 143, F5, 69) (dual of [143, 27, 70]-code) | [i] | ✔ | |
| 13 | Linear OA(5108, 132, F5, 67) (dual of [132, 24, 68]-code) | [i] | ✔ | |
| 14 | Linear OA(5110, 137, F5, 67) (dual of [137, 27, 68]-code) | [i] | ✔ | |
| 15 | Linear OA(5114, 143, F5, 63) (dual of [143, 29, 64]-code) | [i] | ✔ | |
| 16 | Linear OA(5112, 140, F5, 63) (dual of [140, 28, 64]-code) | [i] | ✔ | |
| 17 | Linear OA(5117, 148, F5, 63) (dual of [148, 31, 64]-code) | [i] | ✔ | |
| 18 | Linear OA(5118, 153, F5, 62) (dual of [153, 35, 63]-code) | [i] | ✔ | |
| 19 | Linear OA(5117, 151, F5, 62) (dual of [151, 34, 63]-code) | [i] | ✔ | |
| 20 | Linear OA(5111, 138, F5, 68) (dual of [138, 27, 69]-code) | [i] | ✔ | |