Information on Result #1127456

Linear OOA(2138, 48, F2, 5, 69) (dual of [(48, 5), 102, 70]-NRT-code), using algebraic-geometric NRT-code AG(5;F,85P) 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(2149, 50, F2, 5, 75) (dual of [(50, 5), 101, 76]-NRT-code) [i]✔Construction X with Algebraic-Geometric NRT-Codes
2Linear OOA(2148, 50, F2, 5, 74) (dual of [(50, 5), 102, 75]-NRT-code) [i]✔
3Linear OOA(2143, 50, F2, 5, 69) (dual of [(50, 5), 107, 70]-NRT-code) [i]✔
4Linear OOA(2142, 50, F2, 5, 68) (dual of [(50, 5), 108, 69]-NRT-code) [i]✔
5Linear OOA(2153, 51, F2, 5, 77) (dual of [(51, 5), 102, 78]-NRT-code) [i]✔
6Linear OOA(2145, 51, F2, 5, 69) (dual of [(51, 5), 110, 70]-NRT-code) [i]✔
7Linear OOA(2158, 52, F2, 5, 79) (dual of [(52, 5), 102, 80]-NRT-code) [i]✔
8Linear OOA(2148, 52, F2, 5, 69) (dual of [(52, 5), 112, 70]-NRT-code) [i]✔
9Linear OOA(2166, 53, F2, 5, 83) (dual of [(53, 5), 99, 84]-NRT-code) [i]✔
10Linear OOA(2165, 53, F2, 5, 82) (dual of [(53, 5), 100, 83]-NRT-code) [i]✔
11Linear OOA(2152, 53, F2, 5, 69) (dual of [(53, 5), 113, 70]-NRT-code) [i]✔
12Linear OOA(2151, 53, F2, 5, 68) (dual of [(53, 5), 114, 69]-NRT-code) [i]✔
13Linear OOA(2171, 54, F2, 5, 85) (dual of [(54, 5), 99, 86]-NRT-code) [i]✔
14Linear OOA(2170, 54, F2, 5, 84) (dual of [(54, 5), 100, 85]-NRT-code) [i]✔
15Linear OOA(2155, 54, F2, 5, 69) (dual of [(54, 5), 115, 70]-NRT-code) [i]✔
16Linear OOA(2154, 54, F2, 5, 68) (dual of [(54, 5), 116, 69]-NRT-code) [i]✔
17Linear OOA(2176, 55, F2, 5, 87) (dual of [(55, 5), 99, 88]-NRT-code) [i]✔
18Linear OOA(2175, 55, F2, 5, 86) (dual of [(55, 5), 100, 87]-NRT-code) [i]✔
19Linear OOA(2158, 55, F2, 5, 69) (dual of [(55, 5), 117, 70]-NRT-code) [i]✔
20Linear OOA(2157, 55, F2, 5, 68) (dual of [(55, 5), 118, 69]-NRT-code) [i]✔
21Linear OOA(2181, 56, F2, 5, 89) (dual of [(56, 5), 99, 90]-NRT-code) [i]✔
22Linear OOA(2180, 56, F2, 5, 88) (dual of [(56, 5), 100, 89]-NRT-code) [i]✔
23Linear OOA(2161, 56, F2, 5, 69) (dual of [(56, 5), 119, 70]-NRT-code) [i]✔
24Linear OOA(2186, 57, F2, 5, 91) (dual of [(57, 5), 99, 92]-NRT-code) [i]✔
25Linear OOA(2185, 57, F2, 5, 90) (dual of [(57, 5), 100, 91]-NRT-code) [i]✔
26Linear OOA(2191, 58, F2, 5, 93) (dual of [(58, 5), 99, 94]-NRT-code) [i]✔
27Linear OOA(2193, 59, F2, 5, 93) (dual of [(59, 5), 102, 94]-NRT-code) [i]✔
28Linear OOA(2190, 58, F2, 5, 92) (dual of [(58, 5), 100, 93]-NRT-code) [i]✔
29Linear OOA(2198, 60, F2, 5, 95) (dual of [(60, 5), 102, 96]-NRT-code) [i]✔
30Linear OOA(2204, 61, F2, 5, 97) (dual of [(61, 5), 101, 98]-NRT-code) [i]✔
31Linear OOA(2203, 61, F2, 5, 96) (dual of [(61, 5), 102, 97]-NRT-code) [i]✔
32Linear OOA(2208, 62, F2, 5, 99) (dual of [(62, 5), 102, 100]-NRT-code) [i]✔
33Linear OOA(2214, 63, F2, 5, 101) (dual of [(63, 5), 101, 102]-NRT-code) [i]✔
34Linear OOA(2213, 63, F2, 5, 100) (dual of [(63, 5), 102, 101]-NRT-code) [i]✔
35Linear OOA(2220, 64, F2, 5, 103) (dual of [(64, 5), 100, 104]-NRT-code) [i]✔
36Linear OOA(2219, 64, F2, 5, 102) (dual of [(64, 5), 101, 103]-NRT-code) [i]✔
37Linear OOA(2224, 65, F2, 5, 105) (dual of [(65, 5), 101, 106]-NRT-code) [i]✔
38Linear OOA(2228, 66, F2, 5, 105) (dual of [(66, 5), 102, 106]-NRT-code) [i]✔
39Linear OOA(2223, 65, F2, 5, 104) (dual of [(65, 5), 102, 105]-NRT-code) [i]✔
40Linear OOA(2236, 67, F2, 5, 109) (dual of [(67, 5), 99, 110]-NRT-code) [i]✔
41Linear OOA(2235, 67, F2, 5, 108) (dual of [(67, 5), 100, 109]-NRT-code) [i]✔
42Linear OOA(2240, 68, F2, 5, 111) (dual of [(68, 5), 100, 112]-NRT-code) [i]✔
43Linear OOA(2239, 68, F2, 5, 110) (dual of [(68, 5), 101, 111]-NRT-code) [i]✔
44Linear OOA(2246, 69, F2, 5, 113) (dual of [(69, 5), 99, 114]-NRT-code) [i]✔
45Linear OOA(2253, 71, F2, 5, 113) (dual of [(71, 5), 102, 114]-NRT-code) [i]✔
46Linear OOA(2245, 69, F2, 5, 112) (dual of [(69, 5), 100, 113]-NRT-code) [i]✔
47Linear OOA(2259, 72, F2, 5, 114) (dual of [(72, 5), 101, 115]-NRT-code) [i]✔