Information on Result #700596
Linear OA(256, 127, F2, 18) (dual of [127, 71, 19]-code), using the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 19
Mode: Constructive and linear.
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(256, 127, F2, 17) (dual of [127, 71, 18]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(258, 129, F2, 18) (dual of [129, 71, 19]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(275, 158, F2, 20) (dual of [158, 83, 21]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 4 | Linear OA(274, 154, F2, 20) (dual of [154, 80, 21]-code) | [i] | ✔ | |
| 5 | Linear OA(273, 151, F2, 21) (dual of [151, 78, 22]-code) | [i] | ✔ | |
| 6 | Linear OA(270, 148, F2, 20) (dual of [148, 78, 21]-code) | [i] | ✔ | |
| 7 | Linear OA(269, 144, F2, 20) (dual of [144, 75, 21]-code) | [i] | ✔ | |
| 8 | Linear OA(276, 147, F2, 23) (dual of [147, 71, 24]-code) | [i] | ✔ | |
| 9 | Linear OA(273, 144, F2, 22) (dual of [144, 71, 23]-code) | [i] | ✔ | |
| 10 | Linear OA(285, 156, F2, 24) (dual of [156, 71, 25]-code) | [i] | ✔ | |
| 11 | Linear OA(284, 151, F2, 24) (dual of [151, 67, 25]-code) | [i] | ✔ | |
| 12 | Linear OOA(256, 63, F2, 2, 18) (dual of [(63, 2), 70, 19]-NRT-code) | [i] | OOA Folding | |
| 13 | Linear OOA(256, 42, F2, 3, 18) (dual of [(42, 3), 70, 19]-NRT-code) | [i] | ||
| 14 | Linear OOA(256, 31, F2, 4, 18) (dual of [(31, 4), 68, 19]-NRT-code) | [i] | ||