Information on Result #674172
Linear OA(27, 64, F2, 3) (dual of [64, 57, 4]-code or 64-cap in PG(6,2)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(214, 71, F2, 5) (dual of [71, 57, 6]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(214, 72, F2, 5) (dual of [72, 58, 6]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 3 | Linear OOA(27, 63, F2, 2, 3) (dual of [(63, 2), 119, 4]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 4 | Linear OOA(27, 63, F2, 3, 3) (dual of [(63, 3), 182, 4]-NRT-code) | [i] | ||