Information on Result #610942
Linear OA(253, 8193, F2, 9) (dual of [8193, 8140, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 8193 | 226−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (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(252, 8192, F2, 8) (dual of [8192, 8140, 9]-code) | [i] | Truncation | |
| 2 | Linear OA(257, 8198, F2, 9) (dual of [8198, 8141, 10]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(282, 8197, F2, 13) (dual of [8197, 8115, 14]-code) | [i] | ✔ | |
| 4 | Linear OA(283, 8201, F2, 13) (dual of [8201, 8118, 14]-code) | [i] | ✔ | |
| 5 | Linear OA(284, 8209, F2, 13) (dual of [8209, 8125, 14]-code) | [i] | ✔ | |
| 6 | Linear OA(256, 8197, F2, 9) (dual of [8197, 8141, 10]-code) | [i] | ✔ | |
| 7 | Linear OOA(253, 2731, F2, 3, 9) (dual of [(2731, 3), 8140, 10]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(253, 2048, F2, 5, 9) (dual of [(2048, 5), 10187, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 9 | Linear OOA(253, 2048, F2, 6, 9) (dual of [(2048, 6), 12235, 10]-NRT-code) | [i] | ||
| 10 | Linear OOA(253, 2048, F2, 7, 9) (dual of [(2048, 7), 14283, 10]-NRT-code) | [i] | ||
| 11 | Linear OOA(253, 2048, F2, 8, 9) (dual of [(2048, 8), 16331, 10]-NRT-code) | [i] | ||