Information on Result #611338
Linear OA(2225, 16385, F2, 33) (dual of [16385, 16160, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 228−1, 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(2224, 16384, F2, 32) (dual of [16384, 16160, 33]-code) | [i] | Truncation | |
| 2 | Linear OA(2241, 16402, F2, 33) (dual of [16402, 16161, 34]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(2254, 16414, F2, 35) (dual of [16414, 16160, 36]-code) | [i] | ✔ | |
| 4 | Linear OA(2256, 16389, F2, 37) (dual of [16389, 16133, 38]-code) | [i] | ✔ | |
| 5 | Linear OA(2257, 16393, F2, 37) (dual of [16393, 16136, 38]-code) | [i] | ✔ | |
| 6 | Linear OA(2258, 16401, F2, 37) (dual of [16401, 16143, 38]-code) | [i] | ✔ | |
| 7 | Linear OA(2259, 16417, F2, 37) (dual of [16417, 16158, 38]-code) | [i] | ✔ | |
| 8 | Linear OA(2260, 16420, F2, 37) (dual of [16420, 16160, 38]-code) | [i] | ✔ | |
| 9 | Linear OA(2228, 16389, F2, 33) (dual of [16389, 16161, 34]-code) | [i] | ✔ | |
| 10 | Linear OA(2229, 16393, F2, 33) (dual of [16393, 16164, 34]-code) | [i] | ✔ | |
| 11 | Linear OA(2230, 16401, F2, 33) (dual of [16401, 16171, 34]-code) | [i] | ✔ | |
| 12 | Linear OA(2231, 16417, F2, 33) (dual of [16417, 16186, 34]-code) | [i] | ✔ | |
| 13 | Linear OA(2232, 16420, F2, 33) (dual of [16420, 16188, 34]-code) | [i] | ✔ | |
| 14 | Linear OOA(2225, 3277, F2, 5, 33) (dual of [(3277, 5), 16160, 34]-NRT-code) | [i] | OOA Folding | |
| 15 | Linear OOA(2225, 1024, F2, 33, 33) (dual of [(1024, 33), 33567, 34]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |