Information on Result #1821578
OA(218, 70, S2, 7), using construction X applied to K(6) ⊂ DG(6,2) based on
- OA(217, 64, S2, 7), using Delsarte–Goethals OA DG(6,2) [i]
- OA(212, 64, S2, 5), using Kerdock OA K(6) [i]
- linear OA(21, 6, F2, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
Mode: Constructive.
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | OA(218, 70, S2, 6) | [i] | Strength Reduction | |
| 2 | OA(219, 71, S2, 7) | [i] | Code Embedding in Larger Space | |
| 3 | OA(217, 69, S2, 6) | [i] | Truncation | |