Information on Result #1127396

Linear OOA(2178, 48, F2, 5, 109) (dual of [(48, 5), 62, 110]-NRT-code), using algebraic-geometric NRT-code AG(5;F,65P) 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(2189, 50, F2, 5, 115) (dual of [(50, 5), 61, 116]-NRT-code) [i]✔Construction X with Algebraic-Geometric NRT-Codes
2Linear OOA(2188, 50, F2, 5, 114) (dual of [(50, 5), 62, 115]-NRT-code) [i]✔
3Linear OOA(2183, 50, F2, 5, 109) (dual of [(50, 5), 67, 110]-NRT-code) [i]✔
4Linear OOA(2182, 50, F2, 5, 108) (dual of [(50, 5), 68, 109]-NRT-code) [i]✔
5Linear OOA(2193, 51, F2, 5, 117) (dual of [(51, 5), 62, 118]-NRT-code) [i]✔
6Linear OOA(2185, 51, F2, 5, 109) (dual of [(51, 5), 70, 110]-NRT-code) [i]✔
7Linear OOA(2198, 52, F2, 5, 119) (dual of [(52, 5), 62, 120]-NRT-code) [i]✔
8Linear OOA(2188, 52, F2, 5, 109) (dual of [(52, 5), 72, 110]-NRT-code) [i]✔
9Linear OOA(2206, 53, F2, 5, 123) (dual of [(53, 5), 59, 124]-NRT-code) [i]✔
10Linear OOA(2205, 53, F2, 5, 122) (dual of [(53, 5), 60, 123]-NRT-code) [i]✔
11Linear OOA(2192, 53, F2, 5, 109) (dual of [(53, 5), 73, 110]-NRT-code) [i]✔
12Linear OOA(2191, 53, F2, 5, 108) (dual of [(53, 5), 74, 109]-NRT-code) [i]✔
13Linear OOA(2211, 54, F2, 5, 125) (dual of [(54, 5), 59, 126]-NRT-code) [i]✔
14Linear OOA(2210, 54, F2, 5, 124) (dual of [(54, 5), 60, 125]-NRT-code) [i]✔
15Linear OOA(2195, 54, F2, 5, 109) (dual of [(54, 5), 75, 110]-NRT-code) [i]✔
16Linear OOA(2194, 54, F2, 5, 108) (dual of [(54, 5), 76, 109]-NRT-code) [i]✔
17Linear OOA(2216, 55, F2, 5, 127) (dual of [(55, 5), 59, 128]-NRT-code) [i]✔
18Linear OOA(2215, 55, F2, 5, 126) (dual of [(55, 5), 60, 127]-NRT-code) [i]✔
19Linear OOA(2198, 55, F2, 5, 109) (dual of [(55, 5), 77, 110]-NRT-code) [i]✔
20Linear OOA(2197, 55, F2, 5, 108) (dual of [(55, 5), 78, 109]-NRT-code) [i]✔
21Linear OOA(2221, 56, F2, 5, 129) (dual of [(56, 5), 59, 130]-NRT-code) [i]✔
22Linear OOA(2220, 56, F2, 5, 128) (dual of [(56, 5), 60, 129]-NRT-code) [i]✔
23Linear OOA(2201, 56, F2, 5, 109) (dual of [(56, 5), 79, 110]-NRT-code) [i]✔
24Linear OOA(2200, 56, F2, 5, 108) (dual of [(56, 5), 80, 109]-NRT-code) [i]✔
25Linear OOA(2226, 57, F2, 5, 131) (dual of [(57, 5), 59, 132]-NRT-code) [i]✔
26Linear OOA(2225, 57, F2, 5, 130) (dual of [(57, 5), 60, 131]-NRT-code) [i]✔
27Linear OOA(2204, 57, F2, 5, 109) (dual of [(57, 5), 81, 110]-NRT-code) [i]✔
28Linear OOA(2203, 57, F2, 5, 108) (dual of [(57, 5), 82, 109]-NRT-code) [i]✔
29Linear OOA(2231, 58, F2, 5, 133) (dual of [(58, 5), 59, 134]-NRT-code) [i]✔
30Linear OOA(2233, 59, F2, 5, 133) (dual of [(59, 5), 62, 134]-NRT-code) [i]✔
31Linear OOA(2230, 58, F2, 5, 132) (dual of [(58, 5), 60, 133]-NRT-code) [i]✔
32Linear OOA(2207, 58, F2, 5, 109) (dual of [(58, 5), 83, 110]-NRT-code) [i]✔
33Linear OOA(2209, 59, F2, 5, 109) (dual of [(59, 5), 86, 110]-NRT-code) [i]✔
34Linear OOA(2206, 58, F2, 5, 108) (dual of [(58, 5), 84, 109]-NRT-code) [i]✔
35Linear OOA(2238, 60, F2, 5, 135) (dual of [(60, 5), 62, 136]-NRT-code) [i]✔
36Linear OOA(2212, 60, F2, 5, 109) (dual of [(60, 5), 88, 110]-NRT-code) [i]✔
37Linear OOA(2244, 61, F2, 5, 137) (dual of [(61, 5), 61, 138]-NRT-code) [i]✔
38Linear OOA(2243, 61, F2, 5, 136) (dual of [(61, 5), 62, 137]-NRT-code) [i]✔
39Linear OOA(2216, 61, F2, 5, 109) (dual of [(61, 5), 89, 110]-NRT-code) [i]✔
40Linear OOA(2215, 61, F2, 5, 108) (dual of [(61, 5), 90, 109]-NRT-code) [i]✔
41Linear OOA(2248, 62, F2, 5, 139) (dual of [(62, 5), 62, 140]-NRT-code) [i]✔
42Linear OOA(2218, 62, F2, 5, 109) (dual of [(62, 5), 92, 110]-NRT-code) [i]✔
43Linear OOA(2254, 63, F2, 5, 141) (dual of [(63, 5), 61, 142]-NRT-code) [i]✔
44Linear OOA(2253, 63, F2, 5, 140) (dual of [(63, 5), 62, 141]-NRT-code) [i]✔
45Linear OOA(2222, 63, F2, 5, 109) (dual of [(63, 5), 93, 110]-NRT-code) [i]✔
46Linear OOA(2221, 63, F2, 5, 108) (dual of [(63, 5), 94, 109]-NRT-code) [i]✔
47Linear OOA(2260, 64, F2, 5, 143) (dual of [(64, 5), 60, 144]-NRT-code) [i]✔
48Linear OOA(2259, 64, F2, 5, 142) (dual of [(64, 5), 61, 143]-NRT-code) [i]✔
49Linear OOA(2226, 64, F2, 5, 109) (dual of [(64, 5), 94, 110]-NRT-code) [i]✔
50Linear OOA(2225, 64, F2, 5, 108) (dual of [(64, 5), 95, 109]-NRT-code) [i]✔
51Linear OOA(2228, 65, F2, 5, 109) (dual of [(65, 5), 97, 110]-NRT-code) [i]✔
52Linear OOA(2232, 66, F2, 5, 109) (dual of [(66, 5), 98, 110]-NRT-code) [i]✔
53Linear OOA(2227, 65, F2, 5, 108) (dual of [(65, 5), 98, 109]-NRT-code) [i]✔
54Linear OOA(2236, 67, F2, 5, 109) (dual of [(67, 5), 99, 110]-NRT-code) [i]✔
55Linear OOA(2235, 67, F2, 5, 108) (dual of [(67, 5), 100, 109]-NRT-code) [i]✔
56Linear OOA(2238, 68, F2, 5, 109) (dual of [(68, 5), 102, 110]-NRT-code) [i]✔
57Linear OOA(2237, 68, F2, 5, 108) (dual of [(68, 5), 103, 109]-NRT-code) [i]✔
58Linear OOA(2242, 69, F2, 5, 109) (dual of [(69, 5), 103, 110]-NRT-code) [i]✔
59Linear OOA(2249, 71, F2, 5, 109) (dual of [(71, 5), 106, 110]-NRT-code) [i]✔
60Linear OOA(2241, 69, F2, 5, 108) (dual of [(69, 5), 104, 109]-NRT-code) [i]✔
61Linear OOA(2253, 72, F2, 5, 108) (dual of [(72, 5), 107, 109]-NRT-code) [i]✔