Information on Result #1162933

Linear OOA(2221, 42, F2, 7, 167) (dual of [(42, 7), 73, 168]-NRT-code), using algebraic-geometric NRT-code AG(7;F,21P) 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(2221, 42, F2, 7, 166) (dual of [(42, 7), 73, 167]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2221, 42, F2, 7, 165) (dual of [(42, 7), 73, 166]-NRT-code) [i]
3Linear OOA(2221, 42, F2, 7, 164) (dual of [(42, 7), 73, 165]-NRT-code) [i]
4Linear OOA(2221, 42, F2, 7, 163) (dual of [(42, 7), 73, 164]-NRT-code) [i]
5Linear OOA(2244, 45, F2, 7, 179) (dual of [(45, 7), 71, 180]-NRT-code) [i]Construction X with Algebraic-Geometric NRT-Codes
6Linear OOA(2243, 45, F2, 7, 178) (dual of [(45, 7), 72, 179]-NRT-code) [i]
7Linear OOA(2242, 45, F2, 7, 177) (dual of [(45, 7), 73, 178]-NRT-code) [i]
8Linear OOA(2232, 45, F2, 7, 167) (dual of [(45, 7), 83, 168]-NRT-code) [i]
9Linear OOA(2231, 45, F2, 7, 166) (dual of [(45, 7), 84, 167]-NRT-code) [i]
10Linear OOA(2230, 45, F2, 7, 165) (dual of [(45, 7), 85, 166]-NRT-code) [i]