Information on Result #1092585

Linear OOA(2131, 42, F2, 4, 77) (dual of [(42, 4), 37, 78]-NRT-code), using algebraic-geometric NRT-code AG(4;F,15P) 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(2131, 42, F2, 4, 76) (dual of [(42, 4), 37, 77]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2131, 42, F2, 4, 75) (dual of [(42, 4), 37, 76]-NRT-code) [i]
3Linear OOA(2131, 42, F2, 4, 74) (dual of [(42, 4), 37, 75]-NRT-code) [i]
4Linear OOA(2135, 43, F2, 4, 77) (dual of [(43, 4), 37, 78]-NRT-code) [i]NRT-Code Embedding in Larger Space
5Linear OOA(2208, 75, F2, 4, 77) (dual of [(75, 4), 92, 78]-NRT-code) [i](u, u+v)-Construction for OOAs
6Linear OOA(2142, 44, F2, 4, 83) (dual of [(44, 4), 34, 84]-NRT-code) [i]Construction X with Algebraic-Geometric NRT-Codes
7Linear OOA(2141, 44, F2, 4, 82) (dual of [(44, 4), 35, 83]-NRT-code) [i]
8Linear OOA(2140, 44, F2, 4, 81) (dual of [(44, 4), 36, 82]-NRT-code) [i]
9Linear OOA(2139, 44, F2, 4, 80) (dual of [(44, 4), 37, 81]-NRT-code) [i]
10Linear OOA(2136, 44, F2, 4, 77) (dual of [(44, 4), 40, 78]-NRT-code) [i]
11Linear OOA(2135, 44, F2, 4, 76) (dual of [(44, 4), 41, 77]-NRT-code) [i]
12Linear OOA(2134, 44, F2, 4, 75) (dual of [(44, 4), 42, 76]-NRT-code) [i]
13Linear OOA(2133, 44, F2, 4, 74) (dual of [(44, 4), 43, 75]-NRT-code) [i]
14Linear OOA(2155, 47, F2, 4, 89) (dual of [(47, 4), 33, 90]-NRT-code) [i]
15Linear OOA(2156, 48, F2, 4, 89) (dual of [(48, 4), 36, 90]-NRT-code) [i]
16Linear OOA(2154, 47, F2, 4, 88) (dual of [(47, 4), 34, 89]-NRT-code) [i]
17Linear OOA(2155, 48, F2, 4, 88) (dual of [(48, 4), 37, 89]-NRT-code) [i]
18Linear OOA(2153, 47, F2, 4, 87) (dual of [(47, 4), 35, 88]-NRT-code) [i]
19Linear OOA(2152, 47, F2, 4, 86) (dual of [(47, 4), 36, 87]-NRT-code) [i]
20Linear OOA(2151, 47, F2, 4, 85) (dual of [(47, 4), 37, 86]-NRT-code) [i]
21Linear OOA(2143, 47, F2, 4, 77) (dual of [(47, 4), 45, 78]-NRT-code) [i]
22Linear OOA(2144, 48, F2, 4, 77) (dual of [(48, 4), 48, 78]-NRT-code) [i]
23Linear OOA(2142, 47, F2, 4, 76) (dual of [(47, 4), 46, 77]-NRT-code) [i]
24Linear OOA(2143, 48, F2, 4, 76) (dual of [(48, 4), 49, 77]-NRT-code) [i]
25Linear OOA(2141, 47, F2, 4, 75) (dual of [(47, 4), 47, 76]-NRT-code) [i]
26Linear OOA(2140, 47, F2, 4, 74) (dual of [(47, 4), 48, 75]-NRT-code) [i]
27Linear OOA(2139, 47, F2, 4, 73) (dual of [(47, 4), 49, 74]-NRT-code) [i]
28Linear OOA(2171, 51, F2, 4, 95) (dual of [(51, 4), 33, 96]-NRT-code) [i]
29Linear OOA(2172, 52, F2, 4, 95) (dual of [(52, 4), 36, 96]-NRT-code) [i]
30Linear OOA(2170, 51, F2, 4, 94) (dual of [(51, 4), 34, 95]-NRT-code) [i]
31Linear OOA(2171, 52, F2, 4, 94) (dual of [(52, 4), 37, 95]-NRT-code) [i]
32Linear OOA(2169, 51, F2, 4, 93) (dual of [(51, 4), 35, 94]-NRT-code) [i]
33Linear OOA(2168, 51, F2, 4, 92) (dual of [(51, 4), 36, 93]-NRT-code) [i]
34Linear OOA(2167, 51, F2, 4, 91) (dual of [(51, 4), 37, 92]-NRT-code) [i]
35Linear OOA(2153, 51, F2, 4, 77) (dual of [(51, 4), 51, 78]-NRT-code) [i]
36Linear OOA(2154, 52, F2, 4, 77) (dual of [(52, 4), 54, 78]-NRT-code) [i]
37Linear OOA(2152, 51, F2, 4, 76) (dual of [(51, 4), 52, 77]-NRT-code) [i]
38Linear OOA(2153, 52, F2, 4, 76) (dual of [(52, 4), 55, 77]-NRT-code) [i]
39Linear OOA(2151, 51, F2, 4, 75) (dual of [(51, 4), 53, 76]-NRT-code) [i]
40Linear OOA(2150, 51, F2, 4, 74) (dual of [(51, 4), 54, 75]-NRT-code) [i]
41Linear OOA(2149, 51, F2, 4, 73) (dual of [(51, 4), 55, 74]-NRT-code) [i]
42Linear OOA(2189, 56, F2, 4, 101) (dual of [(56, 4), 35, 102]-NRT-code) [i]
43Linear OOA(2191, 57, F2, 4, 101) (dual of [(57, 4), 37, 102]-NRT-code) [i]
44Linear OOA(2188, 56, F2, 4, 100) (dual of [(56, 4), 36, 101]-NRT-code) [i]
45Linear OOA(2187, 56, F2, 4, 99) (dual of [(56, 4), 37, 100]-NRT-code) [i]
46Linear OOA(2165, 56, F2, 4, 77) (dual of [(56, 4), 59, 78]-NRT-code) [i]
47Linear OOA(2167, 57, F2, 4, 77) (dual of [(57, 4), 61, 78]-NRT-code) [i]
48Linear OOA(2164, 56, F2, 4, 76) (dual of [(56, 4), 60, 77]-NRT-code) [i]
49Linear OOA(2163, 56, F2, 4, 75) (dual of [(56, 4), 61, 76]-NRT-code) [i]
50Linear OOA(2131, 21, F2, 7, 77) (dual of [(21, 7), 16, 78]-NRT-code) [i]OOA Folding
51Linear OOA(2131, 21, F2, 8, 77) (dual of [(21, 8), 37, 78]-NRT-code) [i]