Information on Result #700578
Linear OA(250, 127, F2, 15) (dual of [127, 77, 16]-code), using the primitive cyclic code C(A) with length 127 = 27−1, defining set A = {0,1,3,5,7,9,31,63}, and minimum distance d ≥ |{−4,−3,…,10}|+1 = 16 (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(256, 151, F2, 15) (dual of [151, 95, 16]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(263, 151, F2, 16) (dual of [151, 88, 17]-code) | [i] | ✔ | |
| 3 | Linear OA(264, 155, F2, 17) (dual of [155, 91, 18]-code) | [i] | ✔ | |
| 4 | Linear OA(263, 151, F2, 17) (dual of [151, 88, 18]-code) | [i] | ✔ | |
| 5 | Linear OOA(250, 42, F2, 3, 15) (dual of [(42, 3), 76, 16]-NRT-code) | [i] | OOA Folding | |