Information on Result #1072567

Linear OOA(2109, 42, F2, 4, 55) (dual of [(42, 4), 59, 56]-NRT-code), using extended algebraic-geometric NRT-code AGe(4;F,112P) 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(2109, 42, F2, 4, 54) (dual of [(42, 4), 59, 55]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2109, 42, F2, 4, 53) (dual of [(42, 4), 59, 54]-NRT-code) [i]
3Linear OOA(2109, 42, F2, 4, 52) (dual of [(42, 4), 59, 53]-NRT-code) [i]
4Linear OOA(2113, 43, F2, 4, 55) (dual of [(43, 4), 59, 56]-NRT-code) [i]NRT-Code Embedding in Larger Space
5Linear OOA(2173, 76, F2, 4, 55) (dual of [(76, 4), 131, 56]-NRT-code) [i](u, u+v)-Construction for OOAs
6Linear OOA(2255, 74, F2, 4, 110) (dual of [(74, 4), 41, 111]-NRT-code) [i]
7Linear OOA(2259, 76, F2, 4, 110) (dual of [(76, 4), 45, 111]-NRT-code) [i]
8Linear OOA(2255, 74, F2, 4, 111) (dual of [(74, 4), 41, 112]-NRT-code) [i]
9Linear OOA(2259, 76, F2, 4, 111) (dual of [(76, 4), 45, 112]-NRT-code) [i]
10Linear OOA(2109, 21, F2, 7, 55) (dual of [(21, 7), 38, 56]-NRT-code) [i]OOA Folding
11Linear OOA(2109, 21, F2, 8, 55) (dual of [(21, 8), 59, 56]-NRT-code) [i]