Information on Result #994799

Linear OOA(372, 28, F3, 3, 57) (dual of [(28, 3), 12, 58]-NRT-code), using extended algebraic-geometric NRT-code AGe(3;F,26P) 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(372, 28, F3, 3, 56) (dual of [(28, 3), 12, 57]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(372, 28, F3, 3, 55) (dual of [(28, 3), 12, 56]-NRT-code) [i]
3Linear OOA(375, 29, F3, 3, 57) (dual of [(29, 3), 12, 58]-NRT-code) [i]NRT-Code Embedding in Larger Space
4Linear OOA(3156, 56, F3, 3, 115) (dual of [(56, 3), 12, 116]-NRT-code) [i]Repeating Each Code Word for NRT-Codes
5Linear OOA(3240, 84, F3, 3, 173) (dual of [(84, 3), 12, 174]-NRT-code) [i]
6Linear OOA(3113, 52, F3, 3, 57) (dual of [(52, 3), 43, 58]-NRT-code) [i](u, u+v)-Construction for OOAs
7Linear OOA(3115, 56, F3, 3, 57) (dual of [(56, 3), 53, 58]-NRT-code) [i]
8Linear OOA(3186, 66, F3, 3, 114) (dual of [(66, 3), 12, 115]-NRT-code) [i]
9Linear OOA(3188, 67, F3, 3, 114) (dual of [(67, 3), 13, 115]-NRT-code) [i]
10Linear OOA(3188, 67, F3, 3, 115) (dual of [(67, 3), 13, 116]-NRT-code) [i]
11Linear OOA(3245, 86, F3, 3, 173) (dual of [(86, 3), 13, 174]-NRT-code) [i]Generalized (u, u+v)-Construction for OOAs
12Linear OOA(3209, 84, F3, 3, 115) (dual of [(84, 3), 43, 116]-NRT-code) [i]
13Linear OOA(3108, 40, F3, 3, 78) (dual of [(40, 3), 12, 79]-NRT-code) [i]Juxtaposition for OOAs
14Linear OOA(3111, 41, F3, 3, 80) (dual of [(41, 3), 12, 81]-NRT-code) [i]
15Linear OOA(3114, 42, F3, 3, 82) (dual of [(42, 3), 12, 83]-NRT-code) [i]
16Linear OOA(3117, 43, F3, 3, 84) (dual of [(43, 3), 12, 85]-NRT-code) [i]
17Linear OOA(3120, 44, F3, 3, 87) (dual of [(44, 3), 12, 88]-NRT-code) [i]
18Linear OOA(3123, 45, F3, 3, 88) (dual of [(45, 3), 12, 89]-NRT-code) [i]
19Linear OOA(3126, 46, F3, 3, 91) (dual of [(46, 3), 12, 92]-NRT-code) [i]
20Linear OOA(3129, 47, F3, 3, 94) (dual of [(47, 3), 12, 95]-NRT-code) [i]
21Linear OOA(3135, 49, F3, 3, 96) (dual of [(49, 3), 12, 97]-NRT-code) [i]
22Linear OOA(3138, 50, F3, 3, 99) (dual of [(50, 3), 12, 100]-NRT-code) [i]
23Linear OOA(3141, 51, F3, 3, 102) (dual of [(51, 3), 12, 103]-NRT-code) [i]
24Linear OOA(3144, 52, F3, 3, 105) (dual of [(52, 3), 12, 106]-NRT-code) [i]
25Linear OOA(3168, 60, F3, 3, 121) (dual of [(60, 3), 12, 122]-NRT-code) [i]
26Linear OOA(3180, 64, F3, 3, 128) (dual of [(64, 3), 12, 129]-NRT-code) [i]
27Linear OOA(3183, 65, F3, 3, 130) (dual of [(65, 3), 12, 131]-NRT-code) [i]
28Linear OOA(3249, 87, F3, 3, 176) (dual of [(87, 3), 12, 177]-NRT-code) [i]
29Linear OOA(3162, 58, F3, 3, 117) (dual of [(58, 3), 12, 118]-NRT-code) [i]
30Linear OOA(3168, 60, F3, 3, 123) (dual of [(60, 3), 12, 124]-NRT-code) [i]