Information on Result #1162985

Linear OOA(2143, 42, F2, 7, 89) (dual of [(42, 7), 151, 90]-NRT-code), using algebraic-geometric NRT-code AG(7;F,34P) 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(2143, 42, F2, 7, 88) (dual of [(42, 7), 151, 89]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2143, 42, F2, 7, 87) (dual of [(42, 7), 151, 88]-NRT-code) [i]
3Linear OOA(2143, 42, F2, 7, 86) (dual of [(42, 7), 151, 87]-NRT-code) [i]
4Linear OOA(2143, 42, F2, 7, 85) (dual of [(42, 7), 151, 86]-NRT-code) [i]
5Linear OOA(2202, 59, F2, 7, 89) (dual of [(59, 7), 211, 90]-NRT-code) [i](u, u+v)-Construction for OOAs
6Linear OOA(2206, 62, F2, 7, 89) (dual of [(62, 7), 228, 90]-NRT-code) [i]
7Linear OOA(2226, 75, F2, 7, 89) (dual of [(75, 7), 299, 90]-NRT-code) [i]
8Linear OOA(2232, 76, F2, 7, 89) (dual of [(76, 7), 300, 90]-NRT-code) [i]
9Linear OOA(2235, 77, F2, 7, 89) (dual of [(77, 7), 304, 90]-NRT-code) [i]
10Linear OOA(2238, 78, F2, 7, 89) (dual of [(78, 7), 308, 90]-NRT-code) [i]
11Linear OOA(2241, 84, F2, 7, 89) (dual of [(84, 7), 347, 90]-NRT-code) [i]
12Linear OOA(2166, 45, F2, 7, 101) (dual of [(45, 7), 149, 102]-NRT-code) [i]✔Construction X with Algebraic-Geometric NRT-Codes
13Linear OOA(2165, 45, F2, 7, 100) (dual of [(45, 7), 150, 101]-NRT-code) [i]✔
14Linear OOA(2164, 45, F2, 7, 99) (dual of [(45, 7), 151, 100]-NRT-code) [i]✔
15Linear OOA(2154, 45, F2, 7, 89) (dual of [(45, 7), 161, 90]-NRT-code) [i]✔
16Linear OOA(2153, 45, F2, 7, 88) (dual of [(45, 7), 162, 89]-NRT-code) [i]✔
17Linear OOA(2152, 45, F2, 7, 87) (dual of [(45, 7), 163, 88]-NRT-code) [i]✔