Information on Result #1839614
OOA(2176, 4325382, S2, 6, 10), using (u, u+v)-construction based on
- OOA(237, 131081, S2, 6, 5), using
- appending 1 arbitrary column [i] based on OOA(237, 131081, S2, 5, 5), using
- OOA 2-folding and stacking with additional row [i] based on OA(237, 262163, S2, 5), using
- construction X4 applied to RM(1,18) ⊂ K(18) [i] based on
- OA(236, 262144, S2, 5), using Kerdock OA K(18) [i]
- linear OA(219, 262144, F2, 3) (dual of [262144, 262125, 4]-code or 262144-cap in PG(18,2)), using Reed–Muller code RM(1,18) [i]
- linear OA(218, 19, F2, 17) (dual of [19, 1, 18]-code), using
- strength reduction [i] based on linear OA(218, 19, F2, 18) (dual of [19, 1, 19]-code or 19-arc in PG(17,2)), using
- dual of repetition code with length 19 [i]
- strength reduction [i] based on linear OA(218, 19, F2, 18) (dual of [19, 1, 19]-code or 19-arc in PG(17,2)), using
- linear OA(21, 19, F2, 1) (dual of [19, 18, 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(1,18) ⊂ K(18) [i] based on
- OOA 2-folding and stacking with additional row [i] based on OA(237, 262163, S2, 5), using
- appending 1 arbitrary column [i] based on OOA(237, 131081, S2, 5, 5), using
- linear OOA(2139, 4194301, F2, 6, 10) (dual of [(4194301, 6), 25165667, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2139, 8388602, F2, 3, 10) (dual of [(8388602, 3), 25165667, 11]-NRT-code), using
- 1 step truncation [i] based on linear OOA(2140, large, F2, 3, 11), using
- OOA 2-folding [i] based on linear OOA(2139, 8388602, F2, 3, 10) (dual of [(8388602, 3), 25165667, 11]-NRT-code), 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.