Information on Result #1092782

Linear OOA(2158, 48, F2, 4, 89) (dual of [(48, 4), 34, 90]-NRT-code), using algebraic-geometric NRT-code AG(4;F,51P) 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(2174, 52, F2, 4, 97) (dual of [(52, 4), 34, 98]-NRT-code) [i]✔Construction X with Algebraic-Geometric NRT-Codes
2Linear OOA(2172, 51, F2, 4, 96) (dual of [(51, 4), 32, 97]-NRT-code) [i]✔
3Linear OOA(2178, 53, F2, 4, 99) (dual of [(53, 4), 34, 100]-NRT-code) [i]✔
4Linear OOA(2168, 53, F2, 4, 89) (dual of [(53, 4), 44, 90]-NRT-code) [i]✔
5Linear OOA(2183, 54, F2, 4, 101) (dual of [(54, 4), 33, 102]-NRT-code) [i]✔
6Linear OOA(2182, 54, F2, 4, 100) (dual of [(54, 4), 34, 101]-NRT-code) [i]✔
7Linear OOA(2171, 54, F2, 4, 89) (dual of [(54, 4), 45, 90]-NRT-code) [i]✔
8Linear OOA(2170, 54, F2, 4, 88) (dual of [(54, 4), 46, 89]-NRT-code) [i]✔
9Linear OOA(2188, 55, F2, 4, 103) (dual of [(55, 4), 32, 104]-NRT-code) [i]✔
10Linear OOA(2187, 55, F2, 4, 102) (dual of [(55, 4), 33, 103]-NRT-code) [i]✔
11Linear OOA(2174, 55, F2, 4, 89) (dual of [(55, 4), 46, 90]-NRT-code) [i]✔
12Linear OOA(2173, 55, F2, 4, 88) (dual of [(55, 4), 47, 89]-NRT-code) [i]✔
13Linear OOA(2194, 57, F2, 4, 105) (dual of [(57, 4), 34, 106]-NRT-code) [i]✔
14Linear OOA(2192, 56, F2, 4, 104) (dual of [(56, 4), 32, 105]-NRT-code) [i]✔
15Linear OOA(2178, 57, F2, 4, 89) (dual of [(57, 4), 50, 90]-NRT-code) [i]✔
16Linear OOA(2199, 58, F2, 4, 107) (dual of [(58, 4), 33, 108]-NRT-code) [i]✔
17Linear OOA(2198, 58, F2, 4, 106) (dual of [(58, 4), 34, 107]-NRT-code) [i]✔
18Linear OOA(2181, 58, F2, 4, 89) (dual of [(58, 4), 51, 90]-NRT-code) [i]✔
19Linear OOA(2180, 58, F2, 4, 88) (dual of [(58, 4), 52, 89]-NRT-code) [i]✔
20Linear OOA(2186, 60, F2, 4, 89) (dual of [(60, 4), 54, 90]-NRT-code) [i]✔
21Linear OOA(2189, 61, F2, 4, 88) (dual of [(61, 4), 55, 89]-NRT-code) [i]✔
22Linear OOA(2192, 62, F2, 4, 89) (dual of [(62, 4), 56, 90]-NRT-code) [i]✔
23Linear OOA(2194, 63, F2, 4, 89) (dual of [(63, 4), 58, 90]-NRT-code) [i]✔
24Linear OOA(2191, 62, F2, 4, 88) (dual of [(62, 4), 57, 89]-NRT-code) [i]✔
25Linear OOA(2197, 64, F2, 4, 88) (dual of [(64, 4), 59, 89]-NRT-code) [i]✔
26Linear OOA(2200, 65, F2, 4, 89) (dual of [(65, 4), 60, 90]-NRT-code) [i]✔
27Linear OOA(2199, 65, F2, 4, 88) (dual of [(65, 4), 61, 89]-NRT-code) [i]✔
28Linear OOA(2206, 67, F2, 4, 89) (dual of [(67, 4), 62, 90]-NRT-code) [i]✔
29Linear OOA(2205, 67, F2, 4, 88) (dual of [(67, 4), 63, 89]-NRT-code) [i]✔
30Linear OOA(2208, 68, F2, 4, 89) (dual of [(68, 4), 64, 90]-NRT-code) [i]✔
31Linear OOA(2207, 68, F2, 4, 88) (dual of [(68, 4), 65, 89]-NRT-code) [i]✔