Information on Result #1178174

Linear OOA(2119, 42, F2, 8, 65) (dual of [(42, 8), 217, 66]-NRT-code), using algebraic-geometric NRT-code AG(8;F,45P) 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(2119, 42, F2, 8, 64) (dual of [(42, 8), 217, 65]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2119, 42, F2, 8, 63) (dual of [(42, 8), 217, 64]-NRT-code) [i]
3Linear OOA(2119, 42, F2, 8, 62) (dual of [(42, 8), 217, 63]-NRT-code) [i]
4Linear OOA(2119, 42, F2, 8, 61) (dual of [(42, 8), 217, 62]-NRT-code) [i]
5Linear OOA(2190, 75, F2, 8, 65) (dual of [(75, 8), 410, 66]-NRT-code) [i](u, u+v)-Construction for OOAs
6Linear OOA(2193, 76, F2, 8, 65) (dual of [(76, 8), 415, 66]-NRT-code) [i]
7Linear OOA(2142, 44, F2, 8, 77) (dual of [(44, 8), 210, 78]-NRT-code) [i]✔Construction X with Algebraic-Geometric NRT-Codes
8Linear OOA(2141, 44, F2, 8, 76) (dual of [(44, 8), 211, 77]-NRT-code) [i]✔
9Linear OOA(2140, 44, F2, 8, 75) (dual of [(44, 8), 212, 76]-NRT-code) [i]✔
10Linear OOA(2139, 44, F2, 8, 74) (dual of [(44, 8), 213, 75]-NRT-code) [i]✔
11Linear OOA(2138, 44, F2, 8, 73) (dual of [(44, 8), 214, 74]-NRT-code) [i]✔
12Linear OOA(2137, 44, F2, 8, 72) (dual of [(44, 8), 215, 73]-NRT-code) [i]✔
13Linear OOA(2130, 44, F2, 8, 65) (dual of [(44, 8), 222, 66]-NRT-code) [i]✔
14Linear OOA(2129, 44, F2, 8, 64) (dual of [(44, 8), 223, 65]-NRT-code) [i]✔
15Linear OOA(2128, 44, F2, 8, 63) (dual of [(44, 8), 224, 64]-NRT-code) [i]✔
16Linear OOA(2127, 44, F2, 8, 62) (dual of [(44, 8), 225, 63]-NRT-code) [i]✔
17Linear OOA(2126, 44, F2, 8, 61) (dual of [(44, 8), 226, 62]-NRT-code) [i]✔
18Linear OOA(2125, 44, F2, 8, 60) (dual of [(44, 8), 227, 61]-NRT-code) [i]✔