Information on Result #611263
Linear OA(2196, 32768, F2, 27) (dual of [32768, 32572, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27
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(2195, 32767, F2, 26) (dual of [32767, 32572, 27]-code) | [i] | Truncation | |
| 2 | Linear OA(2212, 32784, F2, 29) (dual of [32784, 32572, 30]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(2197, 32784, F2, 27) (dual of [32784, 32587, 28]-code) | [i] | ✔ | |
| 4 | Linear OA(2232, 32800, F2, 31) (dual of [32800, 32568, 32]-code) | [i] | ✔ | |
| 5 | Linear OA(2233, 32805, F2, 31) (dual of [32805, 32572, 32]-code) | [i] | ✔ | |
| 6 | Linear OA(2202, 32800, F2, 27) (dual of [32800, 32598, 28]-code) | [i] | ✔ | |
| 7 | Linear OA(2203, 32805, F2, 27) (dual of [32805, 32602, 28]-code) | [i] | ✔ | |
| 8 | Linear OA(2254, 32826, F2, 33) (dual of [32826, 32572, 34]-code) | [i] | ✔ | |
| 9 | Linear OA(2253, 32813, F2, 33) (dual of [32813, 32560, 34]-code) | [i] | ✔ | |
| 10 | Linear OA(2208, 32813, F2, 27) (dual of [32813, 32605, 28]-code) | [i] | ✔ | |
| 11 | Linear OA(2253, 32816, F2, 33) (dual of [32816, 32563, 34]-code) | [i] | ✔ | |
| 12 | Linear OA(2208, 32816, F2, 27) (dual of [32816, 32608, 28]-code) | [i] | ✔ | |
| 13 | Linear OOA(2196, 16384, F2, 2, 27) (dual of [(16384, 2), 32572, 28]-NRT-code) | [i] | OOA Folding | |
| 14 | Linear OOA(2196, 10922, F2, 3, 27) (dual of [(10922, 3), 32570, 28]-NRT-code) | [i] | ||
| 15 | Linear OOA(2196, 8192, F2, 4, 27) (dual of [(8192, 4), 32572, 28]-NRT-code) | [i] | ||
| 16 | Linear OOA(2196, 6553, F2, 5, 27) (dual of [(6553, 5), 32569, 28]-NRT-code) | [i] | ||
| 17 | Linear OOA(2196, 5461, F2, 6, 27) (dual of [(5461, 6), 32570, 28]-NRT-code) | [i] | ||
| 18 | Linear OOA(2196, 4681, F2, 7, 27) (dual of [(4681, 7), 32571, 28]-NRT-code) | [i] | ||
| 19 | Linear OOA(2196, 4096, F2, 8, 27) (dual of [(4096, 8), 32572, 28]-NRT-code) | [i] | ||
| 20 | Linear OOA(2196, 2520, F2, 27, 27) (dual of [(2520, 27), 67844, 28]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |