Information on Result #1092804

Linear OOA(2136, 48, F2, 4, 67) (dual of [(48, 4), 56, 68]-NRT-code), using algebraic-geometric NRT-code AG(4;F,62P) with degP = 2 based on function field F/F2 with g(F) = 69 and N(F) ≥ 48, 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(2152, 52, F2, 4, 75) (dual of [(52, 4), 56, 76]-NRT-code) [i]✔Construction X with Algebraic-Geometric NRT-Codes
2Linear OOA(2144, 52, F2, 4, 67) (dual of [(52, 4), 64, 68]-NRT-code) [i]✔
3Linear OOA(2142, 51, F2, 4, 66) (dual of [(51, 4), 62, 67]-NRT-code) [i]✔
4Linear OOA(2156, 53, F2, 4, 77) (dual of [(53, 4), 56, 78]-NRT-code) [i]✔
5Linear OOA(2146, 53, F2, 4, 67) (dual of [(53, 4), 66, 68]-NRT-code) [i]✔
6Linear OOA(2161, 54, F2, 4, 79) (dual of [(54, 4), 55, 80]-NRT-code) [i]✔
7Linear OOA(2160, 54, F2, 4, 78) (dual of [(54, 4), 56, 79]-NRT-code) [i]✔
8Linear OOA(2149, 54, F2, 4, 67) (dual of [(54, 4), 67, 68]-NRT-code) [i]✔
9Linear OOA(2148, 54, F2, 4, 66) (dual of [(54, 4), 68, 67]-NRT-code) [i]✔
10Linear OOA(2166, 55, F2, 4, 81) (dual of [(55, 4), 54, 82]-NRT-code) [i]✔
11Linear OOA(2165, 55, F2, 4, 80) (dual of [(55, 4), 55, 81]-NRT-code) [i]✔
12Linear OOA(2152, 55, F2, 4, 67) (dual of [(55, 4), 68, 68]-NRT-code) [i]✔
13Linear OOA(2151, 55, F2, 4, 66) (dual of [(55, 4), 69, 67]-NRT-code) [i]✔
14Linear OOA(2172, 57, F2, 4, 83) (dual of [(57, 4), 56, 84]-NRT-code) [i]✔
15Linear OOA(2155, 56, F2, 4, 67) (dual of [(56, 4), 69, 68]-NRT-code) [i]✔
16Linear OOA(2156, 57, F2, 4, 67) (dual of [(57, 4), 72, 68]-NRT-code) [i]✔
17Linear OOA(2154, 56, F2, 4, 66) (dual of [(56, 4), 70, 67]-NRT-code) [i]✔
18Linear OOA(2177, 58, F2, 4, 85) (dual of [(58, 4), 55, 86]-NRT-code) [i]✔
19Linear OOA(2176, 58, F2, 4, 84) (dual of [(58, 4), 56, 85]-NRT-code) [i]✔
20Linear OOA(2159, 58, F2, 4, 67) (dual of [(58, 4), 73, 68]-NRT-code) [i]✔
21Linear OOA(2184, 60, F2, 4, 87) (dual of [(60, 4), 56, 88]-NRT-code) [i]✔
22Linear OOA(2189, 61, F2, 4, 88) (dual of [(61, 4), 55, 89]-NRT-code) [i]✔
23Linear OOA(2194, 62, F2, 4, 91) (dual of [(62, 4), 54, 92]-NRT-code) [i]✔
24Linear OOA(2196, 63, F2, 4, 91) (dual of [(63, 4), 56, 92]-NRT-code) [i]✔
25Linear OOA(2193, 62, F2, 4, 90) (dual of [(62, 4), 55, 91]-NRT-code) [i]✔
26Linear OOA(2201, 64, F2, 4, 92) (dual of [(64, 4), 55, 93]-NRT-code) [i]✔
27Linear OOA(2206, 65, F2, 4, 95) (dual of [(65, 4), 54, 96]-NRT-code) [i]✔
28Linear OOA(2205, 65, F2, 4, 94) (dual of [(65, 4), 55, 95]-NRT-code) [i]✔
29Linear OOA(2213, 67, F2, 4, 96) (dual of [(67, 4), 55, 97]-NRT-code) [i]✔
30Linear OOA(2136, 24, F2, 7, 67) (dual of [(24, 7), 32, 68]-NRT-code) [i]OOA Folding
31Linear OOA(2136, 24, F2, 8, 67) (dual of [(24, 8), 56, 68]-NRT-code) [i]