Information on Result #684098
Linear OA(555, 125, F5, 23) (dual of [125, 70, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23
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(570, 139, F5, 31) (dual of [139, 69, 32]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(571, 141, F5, 31) (dual of [141, 70, 32]-code) | [i] | ✔ | |
| 3 | Linear OA(567, 137, F5, 29) (dual of [137, 70, 30]-code) | [i] | ✔ | |
| 4 | Linear OA(573, 141, F5, 32) (dual of [141, 68, 33]-code) | [i] | ✔ | |
| 5 | Linear OA(574, 144, F5, 32) (dual of [144, 70, 33]-code) | [i] | ✔ | |
| 6 | Linear OA(578, 148, F5, 33) (dual of [148, 70, 34]-code) | [i] | ✔ | |
| 7 | Linear OA(582, 152, F5, 34) (dual of [152, 70, 35]-code) | [i] | ✔ | |
| 8 | Linear OA(586, 155, F5, 35) (dual of [155, 69, 36]-code) | [i] | ✔ | |
| 9 | Linear OA(569, 137, F5, 31) (dual of [137, 68, 32]-code) | [i] | ✔ | |
| 10 | Linear OA(570, 140, F5, 31) (dual of [140, 70, 32]-code) | [i] | ✔ | |
| 11 | Linear OA(573, 143, F5, 32) (dual of [143, 70, 33]-code) | [i] | ✔ | |
| 12 | Linear OA(591, 159, F5, 37) (dual of [159, 68, 38]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 13 | Linear OA(588, 157, F5, 36) (dual of [157, 69, 37]-code) | [i] | ✔ | |
| 14 | Linear OA(587, 155, F5, 36) (dual of [155, 68, 37]-code) | [i] | ✔ | |
| 15 | Linear OA(572, 140, F5, 32) (dual of [140, 68, 33]-code) | [i] | ✔ | |
| 16 | Linear OA(568, 136, F5, 30) (dual of [136, 68, 31]-code) | [i] | ✔ | |
| 17 | Linear OA(572, 143, F5, 31) (dual of [143, 71, 32]-code) | [i] | ✔ | |
| 18 | Linear OA(569, 140, F5, 29) (dual of [140, 71, 30]-code) | [i] | ✔ | |
| 19 | Linear OA(574, 145, F5, 32) (dual of [145, 71, 33]-code) | [i] | ✔ | |
| 20 | Linear OA(570, 141, F5, 30) (dual of [141, 71, 31]-code) | [i] | ✔ | |
| 21 | Linear OA(567, 138, F5, 28) (dual of [138, 71, 29]-code) | [i] | ✔ | |