Information on Result #1072516

Linear OOA(2111, 33, F2, 4, 72) (dual of [(33, 4), 21, 73]-NRT-code), using extended algebraic-geometric NRT-code AGe(4;F,59P) based on function field F/F2 with g(F) = 39 and N(F) ≥ 33, 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(2111, 33, F2, 4, 71) (dual of [(33, 4), 21, 72]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2111, 33, F2, 4, 70) (dual of [(33, 4), 21, 71]-NRT-code) [i]
3Linear OOA(2111, 33, F2, 4, 69) (dual of [(33, 4), 21, 70]-NRT-code) [i]
4Linear OOA(2115, 34, F2, 4, 72) (dual of [(34, 4), 21, 73]-NRT-code) [i]NRT-Code Embedding in Larger Space
5Linear OOA(2243, 66, F2, 4, 145) (dual of [(66, 4), 21, 146]-NRT-code) [i]Repeating Each Code Word for NRT-Codes
6Linear OOA(2255, 69, F2, 4, 144) (dual of [(69, 4), 21, 145]-NRT-code) [i](u, u+v)-Construction for OOAs
7Linear OOA(2258, 70, F2, 4, 144) (dual of [(70, 4), 22, 145]-NRT-code) [i]
8Linear OOA(2258, 70, F2, 4, 145) (dual of [(70, 4), 22, 146]-NRT-code) [i]
9Linear OOA(2195, 54, F2, 4, 115) (dual of [(54, 4), 21, 116]-NRT-code) [i]Juxtaposition for OOAs