Information on Result #684143
Linear OA(549, 125, F5, 21) (dual of [125, 76, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21
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(553, 138, F5, 21) (dual of [138, 85, 22]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(574, 150, F5, 31) (dual of [150, 76, 32]-code) | [i] | ✔ | |
| 3 | Linear OA(571, 147, F5, 29) (dual of [147, 76, 30]-code) | [i] | ✔ | |
| 4 | Linear OA(555, 143, F5, 21) (dual of [143, 88, 22]-code) | [i] | ✔ | |
| 5 | Linear OA(576, 152, F5, 32) (dual of [152, 76, 33]-code) | [i] | ✔ | |
| 6 | Linear OA(558, 149, F5, 21) (dual of [149, 91, 22]-code) | [i] | ✔ | |
| 7 | Linear OA(580, 155, F5, 33) (dual of [155, 75, 34]-code) | [i] | ✔ | |
| 8 | Linear OA(579, 157, F5, 32) (dual of [157, 78, 33]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(578, 155, F5, 32) (dual of [155, 77, 33]-code) | [i] | ✔ | |
| 10 | Linear OA(572, 146, F5, 30) (dual of [146, 74, 31]-code) | [i] | ✔ | |
| 11 | Linear OA(569, 143, F5, 28) (dual of [143, 74, 29]-code) | [i] | ✔ | |
| 12 | Linear OA(573, 150, F5, 29) (dual of [150, 77, 30]-code) | [i] | ✔ | |