Information on Result #700581
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 = {0,1,3,5,7,9,11,63}, and minimum distance d ≥ |{−2,−1,…,12}|+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(255, 147, F2, 15) (dual of [147, 92, 16]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(252, 144, F2, 14) (dual of [144, 92, 15]-code) | [i] | ✔ | |
| 3 | Linear OA(252, 143, F2, 15) (dual of [143, 91, 16]-code) | [i] | ✔ | |
| 4 | Linear OA(262, 147, F2, 17) (dual of [147, 85, 18]-code) | [i] | ✔ | |
| 5 | Linear OA(259, 144, F2, 16) (dual of [144, 85, 17]-code) | [i] | ✔ | |
| 6 | Linear OA(259, 143, F2, 17) (dual of [143, 84, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(275, 158, F2, 20) (dual of [158, 83, 21]-code) | [i] | ✔ | |
| 8 | Linear OA(274, 154, F2, 20) (dual of [154, 80, 21]-code) | [i] | ✔ | |
| 9 | Linear OA(276, 160, F2, 21) (dual of [160, 84, 22]-code) | [i] | ✔ | |
| 10 | Linear OA(275, 157, F2, 21) (dual of [157, 82, 22]-code) | [i] | ✔ | |
| 11 | Linear OA(274, 153, F2, 21) (dual of [153, 79, 22]-code) | [i] | ✔ | |
| 12 | Linear OOA(250, 42, F2, 3, 15) (dual of [(42, 3), 76, 16]-NRT-code) | [i] | OOA Folding | |