Information on Result #1162961

Linear OOA(2179, 42, F2, 7, 125) (dual of [(42, 7), 115, 126]-NRT-code), using algebraic-geometric NRT-code AG(7;F,28P) 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(2179, 42, F2, 7, 124) (dual of [(42, 7), 115, 125]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2179, 42, F2, 7, 123) (dual of [(42, 7), 115, 124]-NRT-code) [i]
3Linear OOA(2179, 42, F2, 7, 122) (dual of [(42, 7), 115, 123]-NRT-code) [i]
4Linear OOA(2179, 42, F2, 7, 121) (dual of [(42, 7), 115, 122]-NRT-code) [i]
5Linear OOA(2260, 62, F2, 7, 125) (dual of [(62, 7), 174, 126]-NRT-code) [i](u, u+v)-Construction for OOAs
6Linear OOA(2202, 45, F2, 7, 137) (dual of [(45, 7), 113, 138]-NRT-code) [i]Construction X with Algebraic-Geometric NRT-Codes
7Linear OOA(2201, 45, F2, 7, 136) (dual of [(45, 7), 114, 137]-NRT-code) [i]
8Linear OOA(2200, 45, F2, 7, 135) (dual of [(45, 7), 115, 136]-NRT-code) [i]
9Linear OOA(2190, 45, F2, 7, 125) (dual of [(45, 7), 125, 126]-NRT-code) [i]
10Linear OOA(2189, 45, F2, 7, 124) (dual of [(45, 7), 126, 125]-NRT-code) [i]
11Linear OOA(2188, 45, F2, 7, 123) (dual of [(45, 7), 127, 124]-NRT-code) [i]