Information on Result #1155774

Linear OOA(274, 21, F2, 7, 53) (dual of [(21, 7), 73, 54]-NRT-code), using extended algebraic-geometric NRT-code AGe(7;F,93P) 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(274, 21, F2, 7, 52) (dual of [(21, 7), 73, 53]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(274, 21, F2, 7, 51) (dual of [(21, 7), 73, 52]-NRT-code) [i]
3Linear OOA(274, 21, F2, 7, 50) (dual of [(21, 7), 73, 51]-NRT-code) [i]
4Linear OOA(274, 21, F2, 7, 49) (dual of [(21, 7), 73, 50]-NRT-code) [i]
5Linear OOA(274, 21, F2, 7, 48) (dual of [(21, 7), 73, 49]-NRT-code) [i]
6Linear OOA(274, 21, F2, 7, 47) (dual of [(21, 7), 73, 48]-NRT-code) [i]
7Linear OOA(281, 22, F2, 7, 53) (dual of [(22, 7), 73, 54]-NRT-code) [i]NRT-Code Embedding in Larger Space
8Linear OOA(2234, 63, F2, 7, 106) (dual of [(63, 7), 207, 107]-NRT-code) [i](u, u+v)-Construction for OOAs
9Linear OOA(2250, 70, F2, 7, 106) (dual of [(70, 7), 240, 107]-NRT-code) [i]
10Linear OOA(2235, 63, F2, 7, 107) (dual of [(63, 7), 206, 108]-NRT-code) [i]
11Linear OOA(2251, 70, F2, 7, 107) (dual of [(70, 7), 239, 108]-NRT-code) [i]