Information on Result #1127405

Linear OOA(2172, 48, F2, 5, 103) (dual of [(48, 5), 68, 104]-NRT-code), using algebraic-geometric NRT-code AG(5;F,68P) 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(2183, 50, F2, 5, 109) (dual of [(50, 5), 67, 110]-NRT-code) [i]✔Construction X with Algebraic-Geometric NRT-Codes
2Linear OOA(2182, 50, F2, 5, 108) (dual of [(50, 5), 68, 109]-NRT-code) [i]✔
3Linear OOA(2177, 50, F2, 5, 103) (dual of [(50, 5), 73, 104]-NRT-code) [i]✔
4Linear OOA(2176, 50, F2, 5, 102) (dual of [(50, 5), 74, 103]-NRT-code) [i]✔
5Linear OOA(2187, 51, F2, 5, 111) (dual of [(51, 5), 68, 112]-NRT-code) [i]✔
6Linear OOA(2179, 51, F2, 5, 103) (dual of [(51, 5), 76, 104]-NRT-code) [i]✔
7Linear OOA(2192, 52, F2, 5, 113) (dual of [(52, 5), 68, 114]-NRT-code) [i]✔
8Linear OOA(2182, 52, F2, 5, 103) (dual of [(52, 5), 78, 104]-NRT-code) [i]✔
9Linear OOA(2200, 53, F2, 5, 117) (dual of [(53, 5), 65, 118]-NRT-code) [i]✔
10Linear OOA(2199, 53, F2, 5, 116) (dual of [(53, 5), 66, 117]-NRT-code) [i]✔
11Linear OOA(2186, 53, F2, 5, 103) (dual of [(53, 5), 79, 104]-NRT-code) [i]✔
12Linear OOA(2185, 53, F2, 5, 102) (dual of [(53, 5), 80, 103]-NRT-code) [i]✔
13Linear OOA(2205, 54, F2, 5, 119) (dual of [(54, 5), 65, 120]-NRT-code) [i]✔
14Linear OOA(2204, 54, F2, 5, 118) (dual of [(54, 5), 66, 119]-NRT-code) [i]✔
15Linear OOA(2189, 54, F2, 5, 103) (dual of [(54, 5), 81, 104]-NRT-code) [i]✔
16Linear OOA(2188, 54, F2, 5, 102) (dual of [(54, 5), 82, 103]-NRT-code) [i]✔
17Linear OOA(2210, 55, F2, 5, 121) (dual of [(55, 5), 65, 122]-NRT-code) [i]✔
18Linear OOA(2209, 55, F2, 5, 120) (dual of [(55, 5), 66, 121]-NRT-code) [i]✔
19Linear OOA(2192, 55, F2, 5, 103) (dual of [(55, 5), 83, 104]-NRT-code) [i]✔
20Linear OOA(2191, 55, F2, 5, 102) (dual of [(55, 5), 84, 103]-NRT-code) [i]✔
21Linear OOA(2215, 56, F2, 5, 123) (dual of [(56, 5), 65, 124]-NRT-code) [i]✔
22Linear OOA(2214, 56, F2, 5, 122) (dual of [(56, 5), 66, 123]-NRT-code) [i]✔
23Linear OOA(2195, 56, F2, 5, 103) (dual of [(56, 5), 85, 104]-NRT-code) [i]✔
24Linear OOA(2194, 56, F2, 5, 102) (dual of [(56, 5), 86, 103]-NRT-code) [i]✔
25Linear OOA(2220, 57, F2, 5, 125) (dual of [(57, 5), 65, 126]-NRT-code) [i]✔
26Linear OOA(2219, 57, F2, 5, 124) (dual of [(57, 5), 66, 125]-NRT-code) [i]✔
27Linear OOA(2198, 57, F2, 5, 103) (dual of [(57, 5), 87, 104]-NRT-code) [i]✔
28Linear OOA(2197, 57, F2, 5, 102) (dual of [(57, 5), 88, 103]-NRT-code) [i]✔
29Linear OOA(2225, 58, F2, 5, 127) (dual of [(58, 5), 65, 128]-NRT-code) [i]✔
30Linear OOA(2227, 59, F2, 5, 127) (dual of [(59, 5), 68, 128]-NRT-code) [i]✔
31Linear OOA(2224, 58, F2, 5, 126) (dual of [(58, 5), 66, 127]-NRT-code) [i]✔
32Linear OOA(2201, 58, F2, 5, 103) (dual of [(58, 5), 89, 104]-NRT-code) [i]✔
33Linear OOA(2203, 59, F2, 5, 103) (dual of [(59, 5), 92, 104]-NRT-code) [i]✔
34Linear OOA(2200, 58, F2, 5, 102) (dual of [(58, 5), 90, 103]-NRT-code) [i]✔
35Linear OOA(2232, 60, F2, 5, 129) (dual of [(60, 5), 68, 130]-NRT-code) [i]✔
36Linear OOA(2206, 60, F2, 5, 103) (dual of [(60, 5), 94, 104]-NRT-code) [i]✔
37Linear OOA(2238, 61, F2, 5, 131) (dual of [(61, 5), 67, 132]-NRT-code) [i]✔
38Linear OOA(2237, 61, F2, 5, 130) (dual of [(61, 5), 68, 131]-NRT-code) [i]✔
39Linear OOA(2210, 61, F2, 5, 103) (dual of [(61, 5), 95, 104]-NRT-code) [i]✔
40Linear OOA(2209, 61, F2, 5, 102) (dual of [(61, 5), 96, 103]-NRT-code) [i]✔
41Linear OOA(2242, 62, F2, 5, 133) (dual of [(62, 5), 68, 134]-NRT-code) [i]✔
42Linear OOA(2212, 62, F2, 5, 103) (dual of [(62, 5), 98, 104]-NRT-code) [i]✔
43Linear OOA(2248, 63, F2, 5, 135) (dual of [(63, 5), 67, 136]-NRT-code) [i]✔
44Linear OOA(2247, 63, F2, 5, 134) (dual of [(63, 5), 68, 135]-NRT-code) [i]✔
45Linear OOA(2216, 63, F2, 5, 103) (dual of [(63, 5), 99, 104]-NRT-code) [i]✔
46Linear OOA(2215, 63, F2, 5, 102) (dual of [(63, 5), 100, 103]-NRT-code) [i]✔
47Linear OOA(2254, 64, F2, 5, 137) (dual of [(64, 5), 66, 138]-NRT-code) [i]✔
48Linear OOA(2253, 64, F2, 5, 136) (dual of [(64, 5), 67, 137]-NRT-code) [i]✔
49Linear OOA(2220, 64, F2, 5, 103) (dual of [(64, 5), 100, 104]-NRT-code) [i]✔
50Linear OOA(2219, 64, F2, 5, 102) (dual of [(64, 5), 101, 103]-NRT-code) [i]✔
51Linear OOA(2258, 65, F2, 5, 139) (dual of [(65, 5), 67, 140]-NRT-code) [i]✔
52Linear OOA(2257, 65, F2, 5, 138) (dual of [(65, 5), 68, 139]-NRT-code) [i]✔
53Linear OOA(2222, 65, F2, 5, 103) (dual of [(65, 5), 103, 104]-NRT-code) [i]✔
54Linear OOA(2226, 66, F2, 5, 103) (dual of [(66, 5), 104, 104]-NRT-code) [i]✔
55Linear OOA(2221, 65, F2, 5, 102) (dual of [(65, 5), 104, 103]-NRT-code) [i]✔
56Linear OOA(2230, 67, F2, 5, 103) (dual of [(67, 5), 105, 104]-NRT-code) [i]✔
57Linear OOA(2229, 67, F2, 5, 102) (dual of [(67, 5), 106, 103]-NRT-code) [i]✔
58Linear OOA(2232, 68, F2, 5, 103) (dual of [(68, 5), 108, 104]-NRT-code) [i]✔
59Linear OOA(2231, 68, F2, 5, 102) (dual of [(68, 5), 109, 103]-NRT-code) [i]✔
60Linear OOA(2236, 69, F2, 5, 103) (dual of [(69, 5), 109, 104]-NRT-code) [i]✔
61Linear OOA(2243, 71, F2, 5, 103) (dual of [(71, 5), 112, 104]-NRT-code) [i]✔
62Linear OOA(2235, 69, F2, 5, 102) (dual of [(69, 5), 110, 103]-NRT-code) [i]✔