Information on Result #674125
Linear OA(277, 127, F2, 26) (dual of [127, 50, 27]-code), using the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27
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(277, 127, F2, 25) (dual of [127, 50, 26]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(277, 127, F2, 24) (dual of [127, 50, 25]-code) | [i] | ||
| 3 | Linear OA(279, 129, F2, 26) (dual of [129, 50, 27]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(276, 105, F2, 26) (dual of [105, 29, 27]-code) | [i] | Construction Y1 | |
| 5 | Linear OA(287, 131, F2, 30) (dual of [131, 44, 31]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 6 | Linear OA(288, 135, F2, 30) (dual of [135, 47, 31]-code) | [i] | ✔ | |
| 7 | Linear OA(289, 139, F2, 30) (dual of [139, 50, 31]-code) | [i] | ✔ | |
| 8 | Linear OA(294, 151, F2, 29) (dual of [151, 57, 30]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 9 | Linear OA(291, 148, F2, 28) (dual of [148, 57, 29]-code) | [i] | ✔ | |
| 10 | Linear OA(290, 144, F2, 28) (dual of [144, 54, 29]-code) | [i] | ✔ | |
| 11 | Linear OA(2130, 177, F2, 42) (dual of [177, 47, 43]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 12 | Linear OA(295, 147, F2, 30) (dual of [147, 52, 31]-code) | [i] | ✔ | |
| 13 | Linear OA(293, 144, F2, 30) (dual of [144, 51, 31]-code) | [i] | ✔ | |
| 14 | Linear OOA(277, 63, F2, 2, 26) (dual of [(63, 2), 49, 27]-NRT-code) | [i] | OOA Folding | |
| 15 | Linear OOA(277, 42, F2, 3, 26) (dual of [(42, 3), 49, 27]-NRT-code) | [i] | ||