Information on Result #700621
Linear OA(278, 127, F2, 25) (dual of [127, 49, 26]-code), using the primitive cyclic code C(A) with length 127 = 27−1, defining set A = {0,1,3,5,7,9,11,13,15,19,21,63}, and minimum distance d ≥ |{−2,−1,…,22}|+1 = 26 (BCH-bound)
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
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(283, 147, F2, 25) (dual of [147, 64, 26]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(280, 144, F2, 24) (dual of [144, 64, 25]-code) | [i] | ✔ | |
| 3 | Linear OA(280, 143, F2, 25) (dual of [143, 63, 26]-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(291, 147, F2, 29) (dual of [147, 56, 30]-code) | [i] | ✔ | |
| 8 | Linear OA(290, 143, F2, 29) (dual of [143, 53, 30]-code) | [i] | ✔ | |