Information on Result #674129
Linear OA(270, 127, F2, 22) (dual of [127, 57, 23]-code), using the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23
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(296, 151, F2, 30) (dual of [151, 55, 31]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(283, 147, F2, 25) (dual of [147, 64, 26]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 3 | Linear OA(280, 144, F2, 24) (dual of [144, 64, 25]-code) | [i] | ✔ | |
| 4 | Linear OA(294, 151, F2, 29) (dual of [151, 57, 30]-code) | [i] | ✔ | |
| 5 | Linear OA(291, 148, F2, 28) (dual of [148, 57, 29]-code) | [i] | ✔ | |
| 6 | Linear OA(290, 144, F2, 28) (dual of [144, 54, 29]-code) | [i] | ✔ | |
| 7 | Linear OA(295, 147, F2, 30) (dual of [147, 52, 31]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 8 | Linear OA(293, 144, F2, 30) (dual of [144, 51, 31]-code) | [i] | ✔ | |
| 9 | Linear OOA(270, 63, F2, 2, 22) (dual of [(63, 2), 56, 23]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(270, 42, F2, 3, 22) (dual of [(42, 3), 56, 23]-NRT-code) | [i] | ||