Information on Result #1840087
(28, 33, 32776)-net in base 2, using net defined by OOA based on OOA(233, 32776, S2, 5, 5), using
- OOA 2-folding and stacking with additional row [i] based on OA(233, 65553, S2, 5), using
- construction X4 applied to RM(1,16) ⊂ K(16) [i] based on
- OA(232, 65536, S2, 5), using Kerdock OA K(16) [i]
- linear OA(217, 65536, F2, 3) (dual of [65536, 65519, 4]-code or 65536-cap in PG(16,2)), using Reed–Muller code RM(1,16) [i]
- linear OA(216, 17, F2, 15) (dual of [17, 1, 16]-code), using
- strength reduction [i] based on linear OA(216, 17, F2, 16) (dual of [17, 1, 17]-code or 17-arc in PG(15,2)), using
- dual of repetition code with length 17 [i]
- strength reduction [i] based on linear OA(216, 17, F2, 16) (dual of [17, 1, 17]-code or 17-arc in PG(15,2)), using
- linear OA(21, 17, F2, 1) (dual of [17, 16, 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
- construction X4 applied to RM(1,16) ⊂ K(16) [i] based on
Mode: Constructive.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | (162, 172, 4227077)-net in base 2 | [i] | (u, u+v)-Construction for Nets | |
| 2 | (162, 173, 4227077)-net in base 2 | [i] | ||