Information on Result #611016
Linear OA(279, 8193, F2, 13) (dual of [8193, 8114, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 8193 | 226−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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(278, 8192, F2, 12) (dual of [8192, 8114, 13]-code) | [i] | Truncation | |
| 2 | Linear OA(285, 8200, F2, 13) (dual of [8200, 8115, 14]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(2108, 8197, F2, 17) (dual of [8197, 8089, 18]-code) | [i] | ✔ | |
| 4 | Linear OA(2109, 8201, F2, 17) (dual of [8201, 8092, 18]-code) | [i] | ✔ | |
| 5 | Linear OA(2110, 8209, F2, 17) (dual of [8209, 8099, 18]-code) | [i] | ✔ | |
| 6 | Linear OA(2111, 8225, F2, 17) (dual of [8225, 8114, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(282, 8197, F2, 13) (dual of [8197, 8115, 14]-code) | [i] | ✔ | |
| 8 | Linear OA(283, 8201, F2, 13) (dual of [8201, 8118, 14]-code) | [i] | ✔ | |
| 9 | Linear OA(284, 8209, F2, 13) (dual of [8209, 8125, 14]-code) | [i] | ✔ | |
| 10 | Linear OOA(279, 2731, F2, 3, 13) (dual of [(2731, 3), 8114, 14]-NRT-code) | [i] | OOA Folding | |