Information on Result #618311
Linear OA(32100, 32768, F32, 35) (dual of [32768, 32668, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35
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(32103, 32771, F32, 36) (dual of [32771, 32668, 37]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(32100, 32771, F32, 35) (dual of [32771, 32671, 36]-code) | [i] | ✔ | |
| 3 | Linear OA(32107, 32775, F32, 37) (dual of [32775, 32668, 38]-code) | [i] | ✔ | |
| 4 | Linear OA(32101, 32775, F32, 35) (dual of [32775, 32674, 36]-code) | [i] | ✔ | |
| 5 | Linear OA(32103, 32780, F32, 35) (dual of [32780, 32677, 36]-code) | [i] | ✔ | |
| 6 | Linear OA(32104, 32784, F32, 35) (dual of [32784, 32680, 36]-code) | [i] | ✔ | |
| 7 | Linear OA(32105, 32788, F32, 35) (dual of [32788, 32683, 36]-code) | [i] | ✔ | |
| 8 | Linear OA(32106, 32792, F32, 35) (dual of [32792, 32686, 36]-code) | [i] | ✔ | |
| 9 | Linear OA(32107, 32796, F32, 35) (dual of [32796, 32689, 36]-code) | [i] | ✔ | |
| 10 | Linear OA(32108, 32800, F32, 35) (dual of [32800, 32692, 36]-code) | [i] | ✔ | |
| 11 | Linear OA(32110, 32805, F32, 35) (dual of [32805, 32695, 36]-code) | [i] | ✔ | |
| 12 | Linear OA(32109, 32802, F32, 35) (dual of [32802, 32693, 36]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 13 | Linear OOA(32100, 1927, F32, 35, 35) (dual of [(1927, 35), 67345, 36]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |