Information on Result #1840079
OOA(2180, 4718599, S2, 8, 10), using (u, u+v)-construction based on
- OOA(241, 524298, S2, 8, 5), using
- appending 3 arbitrary columns [i] based on OOA(241, 524298, S2, 5, 5), using
- OOA 2-folding and stacking with additional row [i] based on OA(241, 1048597, S2, 5), using
- construction X4 applied to RM(1,20) ⊂ K(20) [i] based on
- OA(240, 1048576, S2, 5), using Kerdock OA K(20) [i]
- linear OA(221, 1048576, F2, 3) (dual of [1048576, 1048555, 4]-code or 1048576-cap in PG(20,2)), using Reed–Muller code RM(1,20) [i]
- linear OA(220, 21, F2, 19) (dual of [21, 1, 20]-code), using
- strength reduction [i] based on linear OA(220, 21, F2, 20) (dual of [21, 1, 21]-code or 21-arc in PG(19,2)), using
- dual of repetition code with length 21 [i]
- strength reduction [i] based on linear OA(220, 21, F2, 20) (dual of [21, 1, 21]-code or 21-arc in PG(19,2)), using
- linear OA(21, 21, F2, 1) (dual of [21, 20, 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(1,20) ⊂ K(20) [i] based on
- OOA 2-folding and stacking with additional row [i] based on OA(241, 1048597, S2, 5), using
- appending 3 arbitrary columns [i] based on OOA(241, 524298, S2, 5, 5), using
- linear OOA(2139, 4194301, F2, 8, 10) (dual of [(4194301, 8), 33554269, 11]-NRT-code), using
- extracting embedded OOA [i] based on digital (129, 139, 4194301)-net over F2, using
- 1 times m-reduction [i] based on digital (129, 140, 4194301)-net over F2, using
- net defined by OOA [i] based on linear OOA(2140, 4194301, F2, 15, 11) (dual of [(4194301, 15), 62914375, 12]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(2140, large, F2, 3, 11), using
- net defined by OOA [i] based on linear OOA(2140, 4194301, F2, 15, 11) (dual of [(4194301, 15), 62914375, 12]-NRT-code), using
- 1 times m-reduction [i] based on digital (129, 140, 4194301)-net over F2, using
- extracting embedded OOA [i] based on digital (129, 139, 4194301)-net over F2, using
Mode: Constructive.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.