Information on Result #1072566

Linear OOA(2108, 42, F2, 4, 54) (dual of [(42, 4), 60, 55]-NRT-code), using extended algebraic-geometric NRT-code AGe(4;F,113P) based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, 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(2108, 42, F2, 4, 53) (dual of [(42, 4), 60, 54]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2108, 42, F2, 4, 52) (dual of [(42, 4), 60, 53]-NRT-code) [i]
3Linear OOA(2108, 42, F2, 4, 51) (dual of [(42, 4), 60, 52]-NRT-code) [i]
4Linear OOA(2112, 43, F2, 4, 54) (dual of [(43, 4), 60, 55]-NRT-code) [i]NRT-Code Embedding in Larger Space
5Linear OOA(2172, 76, F2, 4, 54) (dual of [(76, 4), 132, 55]-NRT-code) [i](u, u+v)-Construction for OOAs
6Linear OOA(2258, 76, F2, 4, 108) (dual of [(76, 4), 46, 109]-NRT-code) [i]
7Linear OOA(2254, 74, F2, 4, 109) (dual of [(74, 4), 42, 110]-NRT-code) [i]
8Linear OOA(2258, 76, F2, 4, 109) (dual of [(76, 4), 46, 110]-NRT-code) [i]
9Linear OOA(2108, 21, F2, 7, 54) (dual of [(21, 7), 39, 55]-NRT-code) [i]OOA Folding
10Linear OOA(2108, 21, F2, 8, 54) (dual of [(21, 8), 60, 55]-NRT-code) [i]