Information on Result #700572
Linear OA(243, 127, F2, 13) (dual of [127, 84, 14]-code), using the primitive cyclic code C(A) with length 127 = 27−1, defining set A = {0,1,3,5,7,9,63}, and minimum distance d ≥ |{−2,−1,…,10}|+1 = 14 (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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(248, 147, F2, 13) (dual of [147, 99, 14]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(245, 144, F2, 12) (dual of [144, 99, 13]-code) | [i] | ✔ | |
| 3 | Linear OA(245, 143, F2, 13) (dual of [143, 98, 14]-code) | [i] | ✔ | |
| 4 | Linear OA(255, 147, F2, 15) (dual of [147, 92, 16]-code) | [i] | ✔ | |
| 5 | Linear OA(252, 144, F2, 14) (dual of [144, 92, 15]-code) | [i] | ✔ | |
| 6 | Linear OA(252, 143, F2, 15) (dual of [143, 91, 16]-code) | [i] | ✔ | |