Information on Result #1139053

Linear OOA(278, 21, F2, 6, 57) (dual of [(21, 6), 48, 58]-NRT-code), using extended algebraic-geometric NRT-code AGe(6;F,68P) 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(278, 21, F2, 6, 56) (dual of [(21, 6), 48, 57]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(278, 21, F2, 6, 55) (dual of [(21, 6), 48, 56]-NRT-code) [i]
3Linear OOA(278, 21, F2, 6, 54) (dual of [(21, 6), 48, 55]-NRT-code) [i]
4Linear OOA(278, 21, F2, 6, 53) (dual of [(21, 6), 48, 54]-NRT-code) [i]
5Linear OOA(278, 21, F2, 6, 52) (dual of [(21, 6), 48, 53]-NRT-code) [i]
6Linear OOA(284, 22, F2, 6, 57) (dual of [(22, 6), 48, 58]-NRT-code) [i]NRT-Code Embedding in Larger Space
7Linear OOA(2246, 63, F2, 6, 114) (dual of [(63, 6), 132, 115]-NRT-code) [i](u, u+v)-Construction for OOAs
8Linear OOA(2247, 63, F2, 6, 115) (dual of [(63, 6), 131, 116]-NRT-code) [i]