Information on Result #1127459

Linear OOA(2136, 48, F2, 5, 67) (dual of [(48, 5), 104, 68]-NRT-code), using algebraic-geometric NRT-code AG(5;F,86P) 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(2147, 50, F2, 5, 73) (dual of [(50, 5), 103, 74]-NRT-code) [i]✔Construction X with Algebraic-Geometric NRT-Codes
2Linear OOA(2146, 50, F2, 5, 72) (dual of [(50, 5), 104, 73]-NRT-code) [i]✔
3Linear OOA(2141, 50, F2, 5, 67) (dual of [(50, 5), 109, 68]-NRT-code) [i]✔
4Linear OOA(2140, 50, F2, 5, 66) (dual of [(50, 5), 110, 67]-NRT-code) [i]✔
5Linear OOA(2151, 51, F2, 5, 75) (dual of [(51, 5), 104, 76]-NRT-code) [i]✔
6Linear OOA(2143, 51, F2, 5, 67) (dual of [(51, 5), 112, 68]-NRT-code) [i]✔
7Linear OOA(2156, 52, F2, 5, 77) (dual of [(52, 5), 104, 78]-NRT-code) [i]✔
8Linear OOA(2146, 52, F2, 5, 67) (dual of [(52, 5), 114, 68]-NRT-code) [i]✔
9Linear OOA(2164, 53, F2, 5, 81) (dual of [(53, 5), 101, 82]-NRT-code) [i]✔
10Linear OOA(2163, 53, F2, 5, 80) (dual of [(53, 5), 102, 81]-NRT-code) [i]✔
11Linear OOA(2150, 53, F2, 5, 67) (dual of [(53, 5), 115, 68]-NRT-code) [i]✔
12Linear OOA(2149, 53, F2, 5, 66) (dual of [(53, 5), 116, 67]-NRT-code) [i]✔
13Linear OOA(2169, 54, F2, 5, 83) (dual of [(54, 5), 101, 84]-NRT-code) [i]✔
14Linear OOA(2168, 54, F2, 5, 82) (dual of [(54, 5), 102, 83]-NRT-code) [i]✔
15Linear OOA(2153, 54, F2, 5, 67) (dual of [(54, 5), 117, 68]-NRT-code) [i]✔
16Linear OOA(2174, 55, F2, 5, 85) (dual of [(55, 5), 101, 86]-NRT-code) [i]✔
17Linear OOA(2173, 55, F2, 5, 84) (dual of [(55, 5), 102, 85]-NRT-code) [i]✔
18Linear OOA(2156, 55, F2, 5, 67) (dual of [(55, 5), 119, 68]-NRT-code) [i]✔
19Linear OOA(2155, 55, F2, 5, 66) (dual of [(55, 5), 120, 67]-NRT-code) [i]✔
20Linear OOA(2179, 56, F2, 5, 87) (dual of [(56, 5), 101, 88]-NRT-code) [i]✔
21Linear OOA(2178, 56, F2, 5, 86) (dual of [(56, 5), 102, 87]-NRT-code) [i]✔
22Linear OOA(2184, 57, F2, 5, 89) (dual of [(57, 5), 101, 90]-NRT-code) [i]✔
23Linear OOA(2183, 57, F2, 5, 88) (dual of [(57, 5), 102, 89]-NRT-code) [i]✔
24Linear OOA(2189, 58, F2, 5, 91) (dual of [(58, 5), 101, 92]-NRT-code) [i]✔
25Linear OOA(2191, 59, F2, 5, 91) (dual of [(59, 5), 104, 92]-NRT-code) [i]✔
26Linear OOA(2188, 58, F2, 5, 90) (dual of [(58, 5), 102, 91]-NRT-code) [i]✔
27Linear OOA(2196, 60, F2, 5, 93) (dual of [(60, 5), 104, 94]-NRT-code) [i]✔
28Linear OOA(2202, 61, F2, 5, 95) (dual of [(61, 5), 103, 96]-NRT-code) [i]✔
29Linear OOA(2201, 61, F2, 5, 94) (dual of [(61, 5), 104, 95]-NRT-code) [i]✔
30Linear OOA(2206, 62, F2, 5, 97) (dual of [(62, 5), 104, 98]-NRT-code) [i]✔
31Linear OOA(2212, 63, F2, 5, 99) (dual of [(63, 5), 103, 100]-NRT-code) [i]✔
32Linear OOA(2211, 63, F2, 5, 98) (dual of [(63, 5), 104, 99]-NRT-code) [i]✔
33Linear OOA(2218, 64, F2, 5, 101) (dual of [(64, 5), 102, 102]-NRT-code) [i]✔
34Linear OOA(2217, 64, F2, 5, 100) (dual of [(64, 5), 103, 101]-NRT-code) [i]✔
35Linear OOA(2222, 65, F2, 5, 103) (dual of [(65, 5), 103, 104]-NRT-code) [i]✔
36Linear OOA(2226, 66, F2, 5, 103) (dual of [(66, 5), 104, 104]-NRT-code) [i]✔
37Linear OOA(2221, 65, F2, 5, 102) (dual of [(65, 5), 104, 103]-NRT-code) [i]✔
38Linear OOA(2234, 67, F2, 5, 107) (dual of [(67, 5), 101, 108]-NRT-code) [i]✔
39Linear OOA(2233, 67, F2, 5, 106) (dual of [(67, 5), 102, 107]-NRT-code) [i]✔
40Linear OOA(2238, 68, F2, 5, 109) (dual of [(68, 5), 102, 110]-NRT-code) [i]✔
41Linear OOA(2237, 68, F2, 5, 108) (dual of [(68, 5), 103, 109]-NRT-code) [i]✔
42Linear OOA(2244, 69, F2, 5, 111) (dual of [(69, 5), 101, 112]-NRT-code) [i]✔
43Linear OOA(2251, 71, F2, 5, 111) (dual of [(71, 5), 104, 112]-NRT-code) [i]✔
44Linear OOA(2243, 69, F2, 5, 110) (dual of [(69, 5), 102, 111]-NRT-code) [i]✔
45Linear OOA(2257, 72, F2, 5, 112) (dual of [(72, 5), 103, 113]-NRT-code) [i]✔