Information on Result #994797

Linear OOA(370, 28, F3, 3, 55) (dual of [(28, 3), 14, 56]-NRT-code), using extended algebraic-geometric NRT-code AGe(3;F,28P) based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using

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

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OOA(370, 28, F3, 3, 54) (dual of [(28, 3), 14, 55]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(370, 28, F3, 3, 53) (dual of [(28, 3), 14, 54]-NRT-code) [i]
3Linear OOA(373, 29, F3, 3, 55) (dual of [(29, 3), 14, 56]-NRT-code) [i]NRT-Code Embedding in Larger Space
4Linear OOA(3154, 56, F3, 3, 111) (dual of [(56, 3), 14, 112]-NRT-code) [i]Repeating Each Code Word for NRT-Codes
5Linear OOA(3110, 52, F3, 3, 55) (dual of [(52, 3), 46, 56]-NRT-code) [i](u, u+v)-Construction for OOAs
6Linear OOA(3112, 56, F3, 3, 55) (dual of [(56, 3), 56, 56]-NRT-code) [i]
7Linear OOA(3180, 65, F3, 3, 110) (dual of [(65, 3), 15, 111]-NRT-code) [i]
8Linear OOA(3181, 65, F3, 3, 111) (dual of [(65, 3), 14, 112]-NRT-code) [i]
9Linear OOA(3183, 66, F3, 3, 111) (dual of [(66, 3), 15, 112]-NRT-code) [i]
10Linear OOA(3237, 84, F3, 3, 167) (dual of [(84, 3), 15, 168]-NRT-code) [i]Generalized (u, u+v)-Construction for OOAs
11Linear OOA(3206, 84, F3, 3, 111) (dual of [(84, 3), 46, 112]-NRT-code) [i]
12Linear OOA(3205, 84, F3, 3, 110) (dual of [(84, 3), 47, 111]-NRT-code) [i]
13Linear OOA(3112, 42, F3, 3, 78) (dual of [(42, 3), 14, 79]-NRT-code) [i]Juxtaposition for OOAs
14Linear OOA(3115, 43, F3, 3, 80) (dual of [(43, 3), 14, 81]-NRT-code) [i]
15Linear OOA(3118, 44, F3, 3, 83) (dual of [(44, 3), 14, 84]-NRT-code) [i]
16Linear OOA(3121, 45, F3, 3, 84) (dual of [(45, 3), 14, 85]-NRT-code) [i]
17Linear OOA(3124, 46, F3, 3, 87) (dual of [(46, 3), 14, 88]-NRT-code) [i]
18Linear OOA(3127, 47, F3, 3, 90) (dual of [(47, 3), 14, 91]-NRT-code) [i]
19Linear OOA(3133, 49, F3, 3, 92) (dual of [(49, 3), 14, 93]-NRT-code) [i]
20Linear OOA(3136, 50, F3, 3, 95) (dual of [(50, 3), 14, 96]-NRT-code) [i]
21Linear OOA(3139, 51, F3, 3, 98) (dual of [(51, 3), 14, 99]-NRT-code) [i]
22Linear OOA(3142, 52, F3, 3, 101) (dual of [(52, 3), 14, 102]-NRT-code) [i]
23Linear OOA(3166, 60, F3, 3, 117) (dual of [(60, 3), 14, 118]-NRT-code) [i]
24Linear OOA(3178, 64, F3, 3, 124) (dual of [(64, 3), 14, 125]-NRT-code) [i]
25Linear OOA(3181, 65, F3, 3, 126) (dual of [(65, 3), 14, 127]-NRT-code) [i]
26Linear OOA(3250, 88, F3, 3, 173) (dual of [(88, 3), 14, 174]-NRT-code) [i]
27Linear OOA(3160, 58, F3, 3, 113) (dual of [(58, 3), 14, 114]-NRT-code) [i]
28Linear OOA(3172, 62, F3, 3, 119) (dual of [(62, 3), 14, 120]-NRT-code) [i]
29Linear OOA(3184, 66, F3, 3, 127) (dual of [(66, 3), 14, 128]-NRT-code) [i]
30Linear OOA(3187, 67, F3, 3, 128) (dual of [(67, 3), 14, 129]-NRT-code) [i]
31Linear OOA(3166, 60, F3, 3, 119) (dual of [(60, 3), 14, 120]-NRT-code) [i]