Information on Result #1092575

Linear OOA(2143, 42, F2, 4, 89) (dual of [(42, 4), 25, 90]-NRT-code), using algebraic-geometric NRT-code AG(4;F,13P) with degP = 6 based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, 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(2143, 42, F2, 4, 88) (dual of [(42, 4), 25, 89]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2143, 42, F2, 4, 87) (dual of [(42, 4), 25, 88]-NRT-code) [i]
3Linear OOA(2143, 42, F2, 4, 86) (dual of [(42, 4), 25, 87]-NRT-code) [i]
4Linear OOA(2147, 43, F2, 4, 89) (dual of [(43, 4), 25, 90]-NRT-code) [i]NRT-Code Embedding in Larger Space
5Linear OOA(2226, 75, F2, 4, 89) (dual of [(75, 4), 74, 90]-NRT-code) [i](u, u+v)-Construction for OOAs
6Linear OOA(2241, 84, F2, 4, 89) (dual of [(84, 4), 95, 90]-NRT-code) [i]
7Linear OOA(2259, 71, F2, 4, 142) (dual of [(71, 4), 25, 143]-NRT-code) [i]Juxtaposition for OOAs
8Linear OOA(2154, 44, F2, 4, 95) (dual of [(44, 4), 22, 96]-NRT-code) [i]✔Construction X with Algebraic-Geometric NRT-Codes
9Linear OOA(2153, 44, F2, 4, 94) (dual of [(44, 4), 23, 95]-NRT-code) [i]✔
10Linear OOA(2152, 44, F2, 4, 93) (dual of [(44, 4), 24, 94]-NRT-code) [i]✔
11Linear OOA(2151, 44, F2, 4, 92) (dual of [(44, 4), 25, 93]-NRT-code) [i]✔
12Linear OOA(2148, 44, F2, 4, 89) (dual of [(44, 4), 28, 90]-NRT-code) [i]✔
13Linear OOA(2147, 44, F2, 4, 88) (dual of [(44, 4), 29, 89]-NRT-code) [i]✔
14Linear OOA(2146, 44, F2, 4, 87) (dual of [(44, 4), 30, 88]-NRT-code) [i]✔
15Linear OOA(2145, 44, F2, 4, 86) (dual of [(44, 4), 31, 87]-NRT-code) [i]✔
16Linear OOA(2167, 47, F2, 4, 101) (dual of [(47, 4), 21, 102]-NRT-code) [i]✔
17Linear OOA(2168, 48, F2, 4, 101) (dual of [(48, 4), 24, 102]-NRT-code) [i]✔
18Linear OOA(2166, 47, F2, 4, 100) (dual of [(47, 4), 22, 101]-NRT-code) [i]✔
19Linear OOA(2167, 48, F2, 4, 100) (dual of [(48, 4), 25, 101]-NRT-code) [i]✔
20Linear OOA(2165, 47, F2, 4, 99) (dual of [(47, 4), 23, 100]-NRT-code) [i]✔
21Linear OOA(2164, 47, F2, 4, 98) (dual of [(47, 4), 24, 99]-NRT-code) [i]✔
22Linear OOA(2163, 47, F2, 4, 97) (dual of [(47, 4), 25, 98]-NRT-code) [i]✔
23Linear OOA(2155, 47, F2, 4, 89) (dual of [(47, 4), 33, 90]-NRT-code) [i]✔
24Linear OOA(2156, 48, F2, 4, 89) (dual of [(48, 4), 36, 90]-NRT-code) [i]✔
25Linear OOA(2154, 47, F2, 4, 88) (dual of [(47, 4), 34, 89]-NRT-code) [i]✔
26Linear OOA(2155, 48, F2, 4, 88) (dual of [(48, 4), 37, 89]-NRT-code) [i]✔
27Linear OOA(2153, 47, F2, 4, 87) (dual of [(47, 4), 35, 88]-NRT-code) [i]✔
28Linear OOA(2152, 47, F2, 4, 86) (dual of [(47, 4), 36, 87]-NRT-code) [i]✔
29Linear OOA(2151, 47, F2, 4, 85) (dual of [(47, 4), 37, 86]-NRT-code) [i]✔
30Linear OOA(2183, 52, F2, 4, 106) (dual of [(52, 4), 25, 107]-NRT-code) [i]✔
31Linear OOA(2165, 51, F2, 4, 89) (dual of [(51, 4), 39, 90]-NRT-code) [i]✔
32Linear OOA(2166, 52, F2, 4, 89) (dual of [(52, 4), 42, 90]-NRT-code) [i]✔
33Linear OOA(2164, 51, F2, 4, 88) (dual of [(51, 4), 40, 89]-NRT-code) [i]✔
34Linear OOA(2165, 52, F2, 4, 88) (dual of [(52, 4), 43, 89]-NRT-code) [i]✔
35Linear OOA(2163, 51, F2, 4, 87) (dual of [(51, 4), 41, 88]-NRT-code) [i]✔
36Linear OOA(2162, 51, F2, 4, 86) (dual of [(51, 4), 42, 87]-NRT-code) [i]✔
37Linear OOA(2161, 51, F2, 4, 85) (dual of [(51, 4), 43, 86]-NRT-code) [i]✔
38Linear OOA(2177, 56, F2, 4, 89) (dual of [(56, 4), 47, 90]-NRT-code) [i]✔
39Linear OOA(2179, 57, F2, 4, 89) (dual of [(57, 4), 49, 90]-NRT-code) [i]✔
40Linear OOA(2176, 56, F2, 4, 88) (dual of [(56, 4), 48, 89]-NRT-code) [i]✔
41Linear OOA(2175, 56, F2, 4, 87) (dual of [(56, 4), 49, 88]-NRT-code) [i]✔
42Linear OOA(2143, 21, F2, 7, 89) (dual of [(21, 7), 4, 90]-NRT-code) [i]OOA Folding
43Linear OOA(2143, 21, F2, 8, 89) (dual of [(21, 8), 25, 90]-NRT-code) [i]