Information on Result #611071
Linear OA(257, 129, F2, 17) (dual of [129, 72, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 129 | 214−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound)
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, 128, F2, 16) (dual of [128, 72, 17]-code) | [i] | Truncation | |
| 2 | Linear OA(263, 136, F2, 17) (dual of [136, 73, 18]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(260, 133, F2, 17) (dual of [133, 73, 18]-code) | [i] | ✔ | |
| 4 | Linear OA(261, 137, F2, 17) (dual of [137, 76, 18]-code) | [i] | ✔ | |
| 5 | Linear OA(262, 145, F2, 17) (dual of [145, 83, 18]-code) | [i] | ✔ | |
| 6 | Linear OA(263, 149, F2, 17) (dual of [149, 86, 18]-code) | [i] | ✔ | |
| 7 | Linear OOA(257, 43, F2, 3, 17) (dual of [(43, 3), 72, 18]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(257, 32, F2, 4, 17) (dual of [(32, 4), 71, 18]-NRT-code) | [i] | ||