Information on Result #1155777

Linear OOA(277, 21, F2, 7, 56) (dual of [(21, 7), 70, 57]-NRT-code), using extended algebraic-geometric NRT-code AGe(7;F,90P) based on function field F/F2 with g(F) = 21 and N(F) ≥ 21, using

Mode: Constructive and linear.

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:

ResultThis
result
only
Method
1Linear OOA(277, 21, F2, 7, 55) (dual of [(21, 7), 70, 56]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(277, 21, F2, 7, 54) (dual of [(21, 7), 70, 55]-NRT-code) [i]
3Linear OOA(277, 21, F2, 7, 53) (dual of [(21, 7), 70, 54]-NRT-code) [i]
4Linear OOA(277, 21, F2, 7, 52) (dual of [(21, 7), 70, 53]-NRT-code) [i]
5Linear OOA(277, 21, F2, 7, 51) (dual of [(21, 7), 70, 52]-NRT-code) [i]
6Linear OOA(277, 21, F2, 7, 50) (dual of [(21, 7), 70, 51]-NRT-code) [i]
7Linear OOA(284, 22, F2, 7, 56) (dual of [(22, 7), 70, 57]-NRT-code) [i]NRT-Code Embedding in Larger Space
8Linear OOA(2243, 63, F2, 7, 112) (dual of [(63, 7), 198, 113]-NRT-code) [i](u, u+v)-Construction for OOAs
9Linear OOA(2259, 70, F2, 7, 112) (dual of [(70, 7), 231, 113]-NRT-code) [i]
10Linear OOA(2244, 63, F2, 7, 113) (dual of [(63, 7), 197, 114]-NRT-code) [i]
11Linear OOA(2260, 70, F2, 7, 113) (dual of [(70, 7), 230, 114]-NRT-code) [i]