Information on Result #610957
Linear OA(273, 262145, F2, 9) (dual of [262145, 262072, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 236−1, 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(272, 262144, F2, 8) (dual of [262144, 262072, 9]-code) | [i] | Truncation | |
| 2 | Linear OA(277, 262150, F2, 9) (dual of [262150, 262073, 10]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(2112, 262149, F2, 13) (dual of [262149, 262037, 14]-code) | [i] | ✔ | |
| 4 | Linear OA(2113, 262153, F2, 13) (dual of [262153, 262040, 14]-code) | [i] | ✔ | |
| 5 | Linear OA(2114, 262161, F2, 13) (dual of [262161, 262047, 14]-code) | [i] | ✔ | |
| 6 | Linear OA(276, 262149, F2, 9) (dual of [262149, 262073, 10]-code) | [i] | ✔ | |
| 7 | Linear OOA(273, 65536, F2, 5, 9) (dual of [(65536, 5), 327607, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 8 | Linear OOA(273, 65536, F2, 6, 9) (dual of [(65536, 6), 393143, 10]-NRT-code) | [i] | ||
| 9 | Linear OOA(273, 65536, F2, 7, 9) (dual of [(65536, 7), 458679, 10]-NRT-code) | [i] | ||
| 10 | Linear OOA(273, 65536, F2, 8, 9) (dual of [(65536, 8), 524215, 10]-NRT-code) | [i] | ||