Information on Result #700614
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 = {0,1,3,5,7,9,11,13,15,19,31,63}, and minimum distance d ≥ |{−4,−3,…,20}|+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(285, 156, F2, 24) (dual of [156, 71, 25]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(284, 151, F2, 24) (dual of [151, 67, 25]-code) | [i] | ✔ | |
| 3 | Linear OA(285, 155, F2, 25) (dual of [155, 70, 26]-code) | [i] | ✔ | |
| 4 | Linear OA(284, 151, F2, 25) (dual of [151, 67, 26]-code) | [i] | ✔ | |