Information on Result #1178181

Linear OOA(2113, 42, F2, 8, 59) (dual of [(42, 8), 223, 60]-NRT-code), using algebraic-geometric NRT-code AG(8;F,46P) 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(2113, 42, F2, 8, 58) (dual of [(42, 8), 223, 59]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2113, 42, F2, 8, 57) (dual of [(42, 8), 223, 58]-NRT-code) [i]
3Linear OOA(2113, 42, F2, 8, 56) (dual of [(42, 8), 223, 57]-NRT-code) [i]
4Linear OOA(2113, 42, F2, 8, 55) (dual of [(42, 8), 223, 56]-NRT-code) [i]
5Linear OOA(2179, 72, F2, 8, 59) (dual of [(72, 8), 397, 60]-NRT-code) [i](u, u+v)-Construction for OOAs
6Linear OOA(2181, 76, F2, 8, 59) (dual of [(76, 8), 427, 60]-NRT-code) [i]
7Linear OOA(2136, 44, F2, 8, 71) (dual of [(44, 8), 216, 72]-NRT-code) [i]✔Construction X with Algebraic-Geometric NRT-Codes
8Linear OOA(2135, 44, F2, 8, 70) (dual of [(44, 8), 217, 71]-NRT-code) [i]✔
9Linear OOA(2134, 44, F2, 8, 69) (dual of [(44, 8), 218, 70]-NRT-code) [i]✔
10Linear OOA(2133, 44, F2, 8, 68) (dual of [(44, 8), 219, 69]-NRT-code) [i]✔
11Linear OOA(2132, 44, F2, 8, 67) (dual of [(44, 8), 220, 68]-NRT-code) [i]✔
12Linear OOA(2131, 44, F2, 8, 66) (dual of [(44, 8), 221, 67]-NRT-code) [i]✔
13Linear OOA(2124, 44, F2, 8, 59) (dual of [(44, 8), 228, 60]-NRT-code) [i]✔
14Linear OOA(2123, 44, F2, 8, 58) (dual of [(44, 8), 229, 59]-NRT-code) [i]✔
15Linear OOA(2122, 44, F2, 8, 57) (dual of [(44, 8), 230, 58]-NRT-code) [i]✔
16Linear OOA(2121, 44, F2, 8, 56) (dual of [(44, 8), 231, 57]-NRT-code) [i]✔
17Linear OOA(2120, 44, F2, 8, 55) (dual of [(44, 8), 232, 56]-NRT-code) [i]✔
18Linear OOA(2119, 44, F2, 8, 54) (dual of [(44, 8), 233, 55]-NRT-code) [i]✔