Information on Result #611323
Linear OA(2145, 513, F2, 33) (dual of [513, 368, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 218−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (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(2144, 512, F2, 32) (dual of [512, 368, 33]-code) | [i] | Truncation | |
| 2 | Linear OA(2159, 528, F2, 33) (dual of [528, 369, 34]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(2168, 529, F2, 37) (dual of [529, 361, 38]-code) | [i] | ✔ | |
| 4 | Linear OA(2169, 537, F2, 37) (dual of [537, 368, 38]-code) | [i] | ✔ | |
| 5 | Linear OA(2146, 532, F2, 31) (dual of [532, 386, 32]-code) | [i] | ✔ | |
| 6 | Linear OA(2148, 517, F2, 33) (dual of [517, 369, 34]-code) | [i] | ✔ | |
| 7 | Linear OA(2149, 521, F2, 33) (dual of [521, 372, 34]-code) | [i] | ✔ | |
| 8 | Linear OA(2150, 529, F2, 33) (dual of [529, 379, 34]-code) | [i] | ✔ | |
| 9 | Linear OA(2151, 537, F2, 33) (dual of [537, 386, 34]-code) | [i] | ✔ | |
| 10 | Linear OOA(2145, 171, F2, 3, 33) (dual of [(171, 3), 368, 34]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(2145, 128, F2, 4, 33) (dual of [(128, 4), 367, 34]-NRT-code) | [i] | ||