Information on Result #610936
Linear OA(245, 2049, F2, 9) (dual of [2049, 2004, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 2049 | 222−1, 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(244, 2048, F2, 8) (dual of [2048, 2004, 9]-code) | [i] | Truncation | |
| 2 | Linear OA(249, 2054, F2, 9) (dual of [2054, 2005, 10]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(270, 2053, F2, 13) (dual of [2053, 1983, 14]-code) | [i] | ✔ | |
| 4 | Linear OA(271, 2057, F2, 13) (dual of [2057, 1986, 14]-code) | [i] | ✔ | |
| 5 | Linear OA(272, 2065, F2, 13) (dual of [2065, 1993, 14]-code) | [i] | ✔ | |
| 6 | Linear OA(248, 2053, F2, 9) (dual of [2053, 2005, 10]-code) | [i] | ✔ | |
| 7 | Linear OOA(245, 683, F2, 3, 9) (dual of [(683, 3), 2004, 10]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(245, 512, F2, 5, 9) (dual of [(512, 5), 2515, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 9 | Linear OOA(245, 512, F2, 6, 9) (dual of [(512, 6), 3027, 10]-NRT-code) | [i] | ||
| 10 | Linear OOA(245, 512, F2, 7, 9) (dual of [(512, 7), 3539, 10]-NRT-code) | [i] | ||
| 11 | Linear OOA(245, 512, F2, 8, 9) (dual of [(512, 8), 4051, 10]-NRT-code) | [i] | ||