Information on Result #1821611
OA(245, 4194326, S2, 5), using construction X applied to RM(1,22) ⊂ K(22) based on
- OA(244, 4194304, S2, 5), using Kerdock OA K(22) [i]
- linear OA(223, 4194304, F2, 3) (dual of [4194304, 4194281, 4]-code or 4194304-cap in PG(22,2)), using Reed–Muller code RM(1,22) [i]
- linear OA(21, 22, F2, 1) (dual of [22, 21, 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | OOA(245, 2097163, S2, 2, 5) | [i] | OOA Folding | |