Information on Result #1127214

Linear OOA(2137, 42, F2, 5, 83) (dual of [(42, 5), 73, 84]-NRT-code), using algebraic-geometric NRT-code AG(5;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(2137, 42, F2, 5, 82) (dual of [(42, 5), 73, 83]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2137, 42, F2, 5, 81) (dual of [(42, 5), 73, 82]-NRT-code) [i]
3Linear OOA(2137, 42, F2, 5, 80) (dual of [(42, 5), 73, 81]-NRT-code) [i]
4Linear OOA(2137, 42, F2, 5, 79) (dual of [(42, 5), 73, 80]-NRT-code) [i]
5Linear OOA(2191, 57, F2, 5, 83) (dual of [(57, 5), 94, 84]-NRT-code) [i](u, u+v)-Construction for OOAs
6Linear OOA(2217, 75, F2, 5, 83) (dual of [(75, 5), 158, 84]-NRT-code) [i]
7Linear OOA(2226, 77, F2, 5, 83) (dual of [(77, 5), 159, 84]-NRT-code) [i]
8Linear OOA(2229, 78, F2, 5, 83) (dual of [(78, 5), 161, 84]-NRT-code) [i]
9Linear OOA(2224, 77, F2, 5, 83) (dual of [(77, 5), 161, 84]-NRT-code) [i]
10Linear OOA(2227, 78, F2, 5, 83) (dual of [(78, 5), 163, 84]-NRT-code) [i]
11Linear OOA(2230, 79, F2, 5, 83) (dual of [(79, 5), 165, 84]-NRT-code) [i]
12Linear OOA(2148, 44, F2, 5, 89) (dual of [(44, 5), 72, 90]-NRT-code) [i]✔Construction X with Algebraic-Geometric NRT-Codes
13Linear OOA(2147, 44, F2, 5, 88) (dual of [(44, 5), 73, 89]-NRT-code) [i]✔
14Linear OOA(2142, 44, F2, 5, 83) (dual of [(44, 5), 78, 84]-NRT-code) [i]✔
15Linear OOA(2141, 44, F2, 5, 82) (dual of [(44, 5), 79, 83]-NRT-code) [i]✔
16Linear OOA(2161, 46, F2, 5, 95) (dual of [(46, 5), 69, 96]-NRT-code) [i]✔
17Linear OOA(2160, 46, F2, 5, 94) (dual of [(46, 5), 70, 95]-NRT-code) [i]✔
18Linear OOA(2159, 46, F2, 5, 93) (dual of [(46, 5), 71, 94]-NRT-code) [i]✔
19Linear OOA(2158, 46, F2, 5, 92) (dual of [(46, 5), 72, 93]-NRT-code) [i]✔
20Linear OOA(2157, 46, F2, 5, 91) (dual of [(46, 5), 73, 92]-NRT-code) [i]✔
21Linear OOA(2149, 46, F2, 5, 83) (dual of [(46, 5), 81, 84]-NRT-code) [i]✔
22Linear OOA(2148, 46, F2, 5, 82) (dual of [(46, 5), 82, 83]-NRT-code) [i]✔
23Linear OOA(2147, 46, F2, 5, 81) (dual of [(46, 5), 83, 82]-NRT-code) [i]✔
24Linear OOA(2146, 46, F2, 5, 80) (dual of [(46, 5), 84, 81]-NRT-code) [i]✔
25Linear OOA(2145, 46, F2, 5, 79) (dual of [(46, 5), 85, 80]-NRT-code) [i]✔