Information on Result #609454
Linear OA(29, 256, F2, 3) (dual of [256, 247, 4]-code or 256-cap in PG(8,2)), using Reed–Muller code RM(1,8)
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.
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 | OA(217, 264, S2, 5) | [i] | ✔ | Construction X with Kerdock and Delsarte–Goethals OAs |
| 2 | OA(217, 265, S2, 5) | [i] | ✔ | Construction X4 with Kerdock OAs |
| 3 | Linear OOA(29, 255, F2, 2, 3) (dual of [(255, 2), 501, 4]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 4 | Linear OOA(29, 255, F2, 3, 3) (dual of [(255, 3), 756, 4]-NRT-code) | [i] | ||