Information on Result #1072557

Linear OOA(299, 42, F2, 4, 45) (dual of [(42, 4), 69, 46]-NRT-code), using extended algebraic-geometric NRT-code AGe(4;F,122P) 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(299, 42, F2, 4, 44) (dual of [(42, 4), 69, 45]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(299, 42, F2, 4, 43) (dual of [(42, 4), 69, 44]-NRT-code) [i]
3Linear OOA(299, 42, F2, 4, 42) (dual of [(42, 4), 69, 43]-NRT-code) [i]
4Linear OOA(2103, 43, F2, 4, 45) (dual of [(43, 4), 69, 46]-NRT-code) [i]NRT-Code Embedding in Larger Space
5Linear OOA(2243, 84, F2, 4, 90) (dual of [(84, 4), 93, 91]-NRT-code) [i](u, u+v)-Construction for OOAs
6Linear OOA(2244, 84, F2, 4, 91) (dual of [(84, 4), 92, 92]-NRT-code) [i]
7Linear OOA(299, 21, F2, 7, 45) (dual of [(21, 7), 48, 46]-NRT-code) [i]OOA Folding
8Linear OOA(299, 21, F2, 8, 45) (dual of [(21, 8), 69, 46]-NRT-code) [i]