Information on Result #1139050

Linear OOA(275, 21, F2, 6, 54) (dual of [(21, 6), 51, 55]-NRT-code), using extended algebraic-geometric NRT-code AGe(6;F,71P) 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(275, 21, F2, 6, 53) (dual of [(21, 6), 51, 54]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(275, 21, F2, 6, 52) (dual of [(21, 6), 51, 53]-NRT-code) [i]
3Linear OOA(275, 21, F2, 6, 51) (dual of [(21, 6), 51, 52]-NRT-code) [i]
4Linear OOA(275, 21, F2, 6, 50) (dual of [(21, 6), 51, 51]-NRT-code) [i]
5Linear OOA(275, 21, F2, 6, 49) (dual of [(21, 6), 51, 50]-NRT-code) [i]
6Linear OOA(281, 22, F2, 6, 54) (dual of [(22, 6), 51, 55]-NRT-code) [i]NRT-Code Embedding in Larger Space
7Linear OOA(2237, 63, F2, 6, 108) (dual of [(63, 6), 141, 109]-NRT-code) [i](u, u+v)-Construction for OOAs
8Linear OOA(2253, 70, F2, 6, 108) (dual of [(70, 6), 167, 109]-NRT-code) [i]
9Linear OOA(2238, 63, F2, 6, 109) (dual of [(63, 6), 140, 110]-NRT-code) [i]
10Linear OOA(2254, 70, F2, 6, 109) (dual of [(70, 6), 166, 110]-NRT-code) [i]