Information on Result #610927
Linear OA(233, 257, F2, 9) (dual of [257, 224, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 216−1, 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(232, 256, F2, 8) (dual of [256, 224, 9]-code) | [i] | Truncation | |
| 2 | Linear OA(235, 260, F2, 9) (dual of [260, 225, 10]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(252, 261, F2, 13) (dual of [261, 209, 14]-code) | [i] | ✔ | |
| 4 | Linear OA(253, 265, F2, 13) (dual of [265, 212, 14]-code) | [i] | ✔ | |
| 5 | Linear OA(254, 273, F2, 13) (dual of [273, 219, 14]-code) | [i] | ✔ | |
| 6 | Linear OOA(233, 64, F2, 5, 9) (dual of [(64, 5), 287, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 7 | Linear OOA(233, 64, F2, 6, 9) (dual of [(64, 6), 351, 10]-NRT-code) | [i] | ||
| 8 | Linear OOA(233, 64, F2, 7, 9) (dual of [(64, 7), 415, 10]-NRT-code) | [i] | ||
| 9 | Linear OOA(233, 64, F2, 8, 9) (dual of [(64, 8), 479, 10]-NRT-code) | [i] | ||