Information on Result #1139047

Linear OOA(272, 21, F2, 6, 51) (dual of [(21, 6), 54, 52]-NRT-code), using extended algebraic-geometric NRT-code AGe(6;F,74P) 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(272, 21, F2, 6, 50) (dual of [(21, 6), 54, 51]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(272, 21, F2, 6, 49) (dual of [(21, 6), 54, 50]-NRT-code) [i]
3Linear OOA(272, 21, F2, 6, 48) (dual of [(21, 6), 54, 49]-NRT-code) [i]
4Linear OOA(272, 21, F2, 6, 47) (dual of [(21, 6), 54, 48]-NRT-code) [i]
5Linear OOA(272, 21, F2, 6, 46) (dual of [(21, 6), 54, 47]-NRT-code) [i]
6Linear OOA(278, 22, F2, 6, 51) (dual of [(22, 6), 54, 52]-NRT-code) [i]NRT-Code Embedding in Larger Space
7Linear OOA(2228, 63, F2, 6, 102) (dual of [(63, 6), 150, 103]-NRT-code) [i](u, u+v)-Construction for OOAs
8Linear OOA(2244, 70, F2, 6, 102) (dual of [(70, 6), 176, 103]-NRT-code) [i]
9Linear OOA(2229, 63, F2, 6, 103) (dual of [(63, 6), 149, 104]-NRT-code) [i]
10Linear OOA(2245, 70, F2, 6, 103) (dual of [(70, 6), 175, 104]-NRT-code) [i]