Information on Result #1127232

Linear OOA(2101, 42, F2, 5, 47) (dual of [(42, 5), 109, 48]-NRT-code), using algebraic-geometric NRT-code AG(5;F,27P) 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(2101, 42, F2, 5, 46) (dual of [(42, 5), 109, 47]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2101, 42, F2, 5, 45) (dual of [(42, 5), 109, 46]-NRT-code) [i]
3Linear OOA(2101, 42, F2, 5, 44) (dual of [(42, 5), 109, 45]-NRT-code) [i]
4Linear OOA(2101, 42, F2, 5, 43) (dual of [(42, 5), 109, 44]-NRT-code) [i]
5Linear OOA(2249, 84, F2, 5, 94) (dual of [(84, 5), 171, 95]-NRT-code) [i](u, u+v)-Construction for OOAs
6Linear OOA(2250, 84, F2, 5, 95) (dual of [(84, 5), 170, 96]-NRT-code) [i]
7Linear OOA(2255, 86, F2, 5, 95) (dual of [(86, 5), 175, 96]-NRT-code) [i]
8Linear OOA(2112, 44, F2, 5, 53) (dual of [(44, 5), 108, 54]-NRT-code) [i]✔Construction X with Algebraic-Geometric NRT-Codes
9Linear OOA(2111, 44, F2, 5, 52) (dual of [(44, 5), 109, 53]-NRT-code) [i]✔
10Linear OOA(2106, 44, F2, 5, 47) (dual of [(44, 5), 114, 48]-NRT-code) [i]✔
11Linear OOA(2105, 44, F2, 5, 46) (dual of [(44, 5), 115, 47]-NRT-code) [i]✔
12Linear OOA(2125, 46, F2, 5, 59) (dual of [(46, 5), 105, 60]-NRT-code) [i]✔
13Linear OOA(2124, 46, F2, 5, 58) (dual of [(46, 5), 106, 59]-NRT-code) [i]✔
14Linear OOA(2123, 46, F2, 5, 57) (dual of [(46, 5), 107, 58]-NRT-code) [i]✔
15Linear OOA(2122, 46, F2, 5, 56) (dual of [(46, 5), 108, 57]-NRT-code) [i]✔
16Linear OOA(2121, 46, F2, 5, 55) (dual of [(46, 5), 109, 56]-NRT-code) [i]✔
17Linear OOA(2113, 46, F2, 5, 47) (dual of [(46, 5), 117, 48]-NRT-code) [i]✔