Information on Result #994798

Linear OOA(371, 28, F3, 3, 56) (dual of [(28, 3), 13, 57]-NRT-code), using extended algebraic-geometric NRT-code AGe(3;F,27P) 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(371, 28, F3, 3, 55) (dual of [(28, 3), 13, 56]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(371, 28, F3, 3, 54) (dual of [(28, 3), 13, 55]-NRT-code) [i]
3Linear OOA(374, 29, F3, 3, 56) (dual of [(29, 3), 13, 57]-NRT-code) [i]NRT-Code Embedding in Larger Space
4Linear OOA(3155, 56, F3, 3, 113) (dual of [(56, 3), 13, 114]-NRT-code) [i]Repeating Each Code Word for NRT-Codes
5Linear OOA(3239, 84, F3, 3, 170) (dual of [(84, 3), 13, 171]-NRT-code) [i]
6Linear OOA(3112, 52, F3, 3, 56) (dual of [(52, 3), 44, 57]-NRT-code) [i](u, u+v)-Construction for OOAs
7Linear OOA(3114, 56, F3, 3, 56) (dual of [(56, 3), 54, 57]-NRT-code) [i]
8Linear OOA(3184, 66, F3, 3, 112) (dual of [(66, 3), 14, 113]-NRT-code) [i]
9Linear OOA(3184, 66, F3, 3, 113) (dual of [(66, 3), 14, 114]-NRT-code) [i]
10Linear OOA(3244, 86, F3, 3, 170) (dual of [(86, 3), 14, 171]-NRT-code) [i]Generalized (u, u+v)-Construction for OOAs
11Linear OOA(3207, 84, F3, 3, 113) (dual of [(84, 3), 45, 114]-NRT-code) [i]
12Linear OOA(3110, 41, F3, 3, 78) (dual of [(41, 3), 13, 79]-NRT-code) [i]Juxtaposition for OOAs
13Linear OOA(3113, 42, F3, 3, 80) (dual of [(42, 3), 13, 81]-NRT-code) [i]
14Linear OOA(3116, 43, F3, 3, 82) (dual of [(43, 3), 13, 83]-NRT-code) [i]
15Linear OOA(3119, 44, F3, 3, 85) (dual of [(44, 3), 13, 86]-NRT-code) [i]
16Linear OOA(3122, 45, F3, 3, 86) (dual of [(45, 3), 13, 87]-NRT-code) [i]
17Linear OOA(3125, 46, F3, 3, 89) (dual of [(46, 3), 13, 90]-NRT-code) [i]
18Linear OOA(3128, 47, F3, 3, 92) (dual of [(47, 3), 13, 93]-NRT-code) [i]
19Linear OOA(3134, 49, F3, 3, 94) (dual of [(49, 3), 13, 95]-NRT-code) [i]
20Linear OOA(3137, 50, F3, 3, 97) (dual of [(50, 3), 13, 98]-NRT-code) [i]
21Linear OOA(3140, 51, F3, 3, 100) (dual of [(51, 3), 13, 101]-NRT-code) [i]
22Linear OOA(3143, 52, F3, 3, 103) (dual of [(52, 3), 13, 104]-NRT-code) [i]
23Linear OOA(3167, 60, F3, 3, 119) (dual of [(60, 3), 13, 120]-NRT-code) [i]
24Linear OOA(3179, 64, F3, 3, 126) (dual of [(64, 3), 13, 127]-NRT-code) [i]
25Linear OOA(3182, 65, F3, 3, 128) (dual of [(65, 3), 13, 129]-NRT-code) [i]
26Linear OOA(3161, 58, F3, 3, 115) (dual of [(58, 3), 13, 116]-NRT-code) [i]
27Linear OOA(3173, 62, F3, 3, 121) (dual of [(62, 3), 13, 122]-NRT-code) [i]
28Linear OOA(3185, 66, F3, 3, 129) (dual of [(66, 3), 13, 130]-NRT-code) [i]
29Linear OOA(3188, 67, F3, 3, 131) (dual of [(67, 3), 13, 132]-NRT-code) [i]
30Linear OOA(3191, 68, F3, 3, 133) (dual of [(68, 3), 13, 134]-NRT-code) [i]
31Linear OOA(3167, 60, F3, 3, 121) (dual of [(60, 3), 13, 122]-NRT-code) [i]