Information on Result #1092798

Linear OOA(2142, 48, F2, 4, 73) (dual of [(48, 4), 50, 74]-NRT-code), using algebraic-geometric NRT-code AG(4;F,59P) 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(2158, 52, F2, 4, 81) (dual of [(52, 4), 50, 82]-NRT-code) [i]✔Construction X with Algebraic-Geometric NRT-Codes
2Linear OOA(2150, 52, F2, 4, 73) (dual of [(52, 4), 58, 74]-NRT-code) [i]✔
3Linear OOA(2148, 51, F2, 4, 72) (dual of [(51, 4), 56, 73]-NRT-code) [i]✔
4Linear OOA(2162, 53, F2, 4, 83) (dual of [(53, 4), 50, 84]-NRT-code) [i]✔
5Linear OOA(2152, 53, F2, 4, 73) (dual of [(53, 4), 60, 74]-NRT-code) [i]✔
6Linear OOA(2167, 54, F2, 4, 85) (dual of [(54, 4), 49, 86]-NRT-code) [i]✔
7Linear OOA(2166, 54, F2, 4, 84) (dual of [(54, 4), 50, 85]-NRT-code) [i]✔
8Linear OOA(2155, 54, F2, 4, 73) (dual of [(54, 4), 61, 74]-NRT-code) [i]✔
9Linear OOA(2154, 54, F2, 4, 72) (dual of [(54, 4), 62, 73]-NRT-code) [i]✔
10Linear OOA(2172, 55, F2, 4, 87) (dual of [(55, 4), 48, 88]-NRT-code) [i]✔
11Linear OOA(2171, 55, F2, 4, 86) (dual of [(55, 4), 49, 87]-NRT-code) [i]✔
12Linear OOA(2158, 55, F2, 4, 73) (dual of [(55, 4), 62, 74]-NRT-code) [i]✔
13Linear OOA(2157, 55, F2, 4, 72) (dual of [(55, 4), 63, 73]-NRT-code) [i]✔
14Linear OOA(2178, 57, F2, 4, 89) (dual of [(57, 4), 50, 90]-NRT-code) [i]✔
15Linear OOA(2161, 56, F2, 4, 73) (dual of [(56, 4), 63, 74]-NRT-code) [i]✔
16Linear OOA(2162, 57, F2, 4, 73) (dual of [(57, 4), 66, 74]-NRT-code) [i]✔
17Linear OOA(2160, 56, F2, 4, 72) (dual of [(56, 4), 64, 73]-NRT-code) [i]✔
18Linear OOA(2183, 58, F2, 4, 91) (dual of [(58, 4), 49, 92]-NRT-code) [i]✔
19Linear OOA(2182, 58, F2, 4, 90) (dual of [(58, 4), 50, 91]-NRT-code) [i]✔
20Linear OOA(2165, 58, F2, 4, 73) (dual of [(58, 4), 67, 74]-NRT-code) [i]✔
21Linear OOA(2164, 58, F2, 4, 72) (dual of [(58, 4), 68, 73]-NRT-code) [i]✔
22Linear OOA(2190, 60, F2, 4, 93) (dual of [(60, 4), 50, 94]-NRT-code) [i]✔
23Linear OOA(2170, 60, F2, 4, 73) (dual of [(60, 4), 70, 74]-NRT-code) [i]✔
24Linear OOA(2195, 61, F2, 4, 94) (dual of [(61, 4), 49, 95]-NRT-code) [i]✔
25Linear OOA(2173, 61, F2, 4, 72) (dual of [(61, 4), 71, 73]-NRT-code) [i]✔
26Linear OOA(2200, 62, F2, 4, 97) (dual of [(62, 4), 48, 98]-NRT-code) [i]✔
27Linear OOA(2202, 63, F2, 4, 97) (dual of [(63, 4), 50, 98]-NRT-code) [i]✔
28Linear OOA(2199, 62, F2, 4, 96) (dual of [(62, 4), 49, 97]-NRT-code) [i]✔
29Linear OOA(2207, 64, F2, 4, 98) (dual of [(64, 4), 49, 99]-NRT-code) [i]✔
30Linear OOA(2142, 24, F2, 7, 73) (dual of [(24, 7), 26, 74]-NRT-code) [i]OOA Folding
31Linear OOA(2142, 24, F2, 8, 73) (dual of [(24, 8), 50, 74]-NRT-code) [i]