Information on Result #610930
Linear OA(237, 513, F2, 9) (dual of [513, 476, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 218−1, 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(236, 512, F2, 8) (dual of [512, 476, 9]-code) | [i] | Truncation | |
| 2 | Linear OA(239, 516, F2, 9) (dual of [516, 477, 10]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(258, 517, F2, 13) (dual of [517, 459, 14]-code) | [i] | ✔ | |
| 4 | Linear OA(259, 521, F2, 13) (dual of [521, 462, 14]-code) | [i] | ✔ | |
| 5 | Linear OA(260, 529, F2, 13) (dual of [529, 469, 14]-code) | [i] | ✔ | |
| 6 | Linear OOA(237, 171, F2, 3, 9) (dual of [(171, 3), 476, 10]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(237, 128, F2, 5, 9) (dual of [(128, 5), 603, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 8 | Linear OOA(237, 128, F2, 6, 9) (dual of [(128, 6), 731, 10]-NRT-code) | [i] | ||
| 9 | Linear OOA(237, 128, F2, 7, 9) (dual of [(128, 7), 859, 10]-NRT-code) | [i] | ||
| 10 | Linear OOA(237, 128, F2, 8, 9) (dual of [(128, 8), 987, 10]-NRT-code) | [i] | ||