Information on Result #684050
Linear OA(525, 125, F5, 11) (dual of [125, 100, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11
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(528, 128, F5, 12) (dual of [128, 100, 13]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(526, 129, F5, 11) (dual of [129, 103, 12]-code) | [i] | ✔ | |
| 3 | Linear OA(526, 132, F5, 10) (dual of [132, 106, 11]-code) | [i] | ✔ | |
| 4 | Linear OA(527, 131, F5, 11) (dual of [131, 104, 12]-code) | [i] | ✔ | |
| 5 | Linear OA(528, 134, F5, 11) (dual of [134, 106, 12]-code) | [i] | ✔ | |
| 6 | Linear OA(537, 137, F5, 14) (dual of [137, 100, 15]-code) | [i] | ✔ | |
| 7 | Linear OA(529, 138, F5, 11) (dual of [138, 109, 12]-code) | [i] | ✔ | |
| 8 | Linear OA(543, 143, F5, 16) (dual of [143, 100, 17]-code) | [i] | ✔ | |
| 9 | Linear OA(531, 143, F5, 11) (dual of [143, 112, 12]-code) | [i] | ✔ | |
| 10 | Linear OA(529, 141, F5, 10) (dual of [141, 112, 11]-code) | [i] | ✔ | |
| 11 | Linear OA(547, 146, F5, 17) (dual of [146, 99, 18]-code) | [i] | ✔ | |
| 12 | Linear OA(548, 148, F5, 17) (dual of [148, 100, 18]-code) | [i] | ✔ | |
| 13 | Linear OA(552, 150, F5, 18) (dual of [150, 98, 19]-code) | [i] | ✔ | |
| 14 | Linear OA(542, 140, F5, 16) (dual of [140, 98, 17]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 15 | Linear OA(545, 146, F5, 16) (dual of [146, 101, 17]-code) | [i] | ✔ | |
| 16 | Linear OA(536, 134, F5, 14) (dual of [134, 98, 15]-code) | [i] | ✔ | |
| 17 | Linear OA(539, 140, F5, 14) (dual of [140, 101, 15]-code) | [i] | ✔ | |
| 18 | Linear OA(527, 134, F5, 10) (dual of [134, 107, 11]-code) | [i] | ✔ | |
| 19 | Linear OA(530, 140, F5, 11) (dual of [140, 110, 12]-code) | [i] | ✔ | |
| 20 | Linear OA(526, 136, F5, 9) (dual of [136, 110, 10]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |