Information on Result #1139049

Linear OOA(274, 21, F2, 6, 53) (dual of [(21, 6), 52, 54]-NRT-code), using extended algebraic-geometric NRT-code AGe(6;F,72P) 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, 6, 52) (dual of [(21, 6), 52, 53]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(274, 21, F2, 6, 51) (dual of [(21, 6), 52, 52]-NRT-code) [i]
3Linear OOA(274, 21, F2, 6, 50) (dual of [(21, 6), 52, 51]-NRT-code) [i]
4Linear OOA(274, 21, F2, 6, 49) (dual of [(21, 6), 52, 50]-NRT-code) [i]
5Linear OOA(274, 21, F2, 6, 48) (dual of [(21, 6), 52, 49]-NRT-code) [i]
6Linear OOA(280, 22, F2, 6, 53) (dual of [(22, 6), 52, 54]-NRT-code) [i]NRT-Code Embedding in Larger Space
7Linear OOA(2234, 63, F2, 6, 106) (dual of [(63, 6), 144, 107]-NRT-code) [i](u, u+v)-Construction for OOAs
8Linear OOA(2250, 70, F2, 6, 106) (dual of [(70, 6), 170, 107]-NRT-code) [i]
9Linear OOA(2235, 63, F2, 6, 107) (dual of [(63, 6), 143, 108]-NRT-code) [i]
10Linear OOA(2251, 70, F2, 6, 107) (dual of [(70, 6), 169, 108]-NRT-code) [i]
11Linear OOA(2260, 69, F2, 6, 117) (dual of [(69, 6), 154, 118]-NRT-code) [i]Construction X with Algebraic-Geometric NRT-Codes
12Linear OOA(2258, 69, F2, 6, 115) (dual of [(69, 6), 156, 116]-NRT-code) [i]
13Linear OOA(2256, 69, F2, 6, 113) (dual of [(69, 6), 158, 114]-NRT-code) [i]
14Linear OOA(2254, 69, F2, 6, 111) (dual of [(69, 6), 160, 112]-NRT-code) [i]