Information on Result #611374
Linear OA(2235, 8193, F2, 37) (dual of [8193, 7958, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 8193 | 226−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2234, 8192, F2, 36) (dual of [8192, 7958, 37]-code) | [i] | Truncation | |
| 2 | Linear OA(2253, 8212, F2, 37) (dual of [8212, 7959, 38]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(2236, 8220, F2, 35) (dual of [8220, 7984, 36]-code) | [i] | ✔ | |
| 4 | Linear OA(2238, 8197, F2, 37) (dual of [8197, 7959, 38]-code) | [i] | ✔ | |
| 5 | Linear OA(2239, 8201, F2, 37) (dual of [8201, 7962, 38]-code) | [i] | ✔ | |
| 6 | Linear OA(2240, 8209, F2, 37) (dual of [8209, 7969, 38]-code) | [i] | ✔ | |
| 7 | Linear OA(2241, 8225, F2, 37) (dual of [8225, 7984, 38]-code) | [i] | ✔ | |
| 8 | Linear OOA(2235, 2731, F2, 3, 37) (dual of [(2731, 3), 7958, 38]-NRT-code) | [i] | OOA Folding | |