Information on Result #1162937

Linear OOA(2215, 42, F2, 7, 161) (dual of [(42, 7), 79, 162]-NRT-code), using algebraic-geometric NRT-code AG(7;F,22P) with degP = 6 based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using an explicitly constructive algebraic function field [i]

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

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OOA(2215, 42, F2, 7, 160) (dual of [(42, 7), 79, 161]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2215, 42, F2, 7, 159) (dual of [(42, 7), 79, 160]-NRT-code) [i]
3Linear OOA(2215, 42, F2, 7, 158) (dual of [(42, 7), 79, 159]-NRT-code) [i]
4Linear OOA(2215, 42, F2, 7, 157) (dual of [(42, 7), 79, 158]-NRT-code) [i]
5Linear OOA(2238, 45, F2, 7, 173) (dual of [(45, 7), 77, 174]-NRT-code) [i]Construction X with Algebraic-Geometric NRT-Codes
6Linear OOA(2237, 45, F2, 7, 172) (dual of [(45, 7), 78, 173]-NRT-code) [i]
7Linear OOA(2236, 45, F2, 7, 171) (dual of [(45, 7), 79, 172]-NRT-code) [i]
8Linear OOA(2226, 45, F2, 7, 161) (dual of [(45, 7), 89, 162]-NRT-code) [i]
9Linear OOA(2225, 45, F2, 7, 160) (dual of [(45, 7), 90, 161]-NRT-code) [i]
10Linear OOA(2224, 45, F2, 7, 159) (dual of [(45, 7), 91, 160]-NRT-code) [i]