Information on Result #1093211

Linear OOA(3103, 36, F3, 4, 77) (dual of [(36, 4), 41, 78]-NRT-code), using algebraic-geometric NRT-code AG(4;F,33P) with degP = 2 based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, 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(3247, 72, F3, 4, 155) (dual of [(72, 4), 41, 156]-NRT-code) [i]Repeating Each Code Word for NRT-Codes
2Linear OOA(3156, 64, F3, 4, 77) (dual of [(64, 4), 100, 78]-NRT-code) [i](u, u+v)-Construction for OOAs
3Linear OOA(3162, 68, F3, 4, 77) (dual of [(68, 4), 110, 78]-NRT-code) [i]
4Linear OOA(3167, 72, F3, 4, 77) (dual of [(72, 4), 121, 78]-NRT-code) [i]
5Linear OOA(3118, 39, F3, 4, 85) (dual of [(39, 4), 38, 86]-NRT-code) [i]✔Construction X with Algebraic-Geometric NRT-Codes
6Linear OOA(3117, 39, F3, 4, 84) (dual of [(39, 4), 39, 85]-NRT-code) [i]✔
7Linear OOA(3110, 39, F3, 4, 77) (dual of [(39, 4), 46, 78]-NRT-code) [i]✔
8Linear OOA(3109, 39, F3, 4, 76) (dual of [(39, 4), 47, 77]-NRT-code) [i]✔
9Linear OOA(3122, 40, F3, 4, 87) (dual of [(40, 4), 38, 88]-NRT-code) [i]✔
10Linear OOA(3123, 41, F3, 4, 87) (dual of [(41, 4), 41, 88]-NRT-code) [i]✔
11Linear OOA(3121, 40, F3, 4, 86) (dual of [(40, 4), 39, 87]-NRT-code) [i]✔
12Linear OOA(3112, 40, F3, 4, 77) (dual of [(40, 4), 48, 78]-NRT-code) [i]✔
13Linear OOA(3113, 41, F3, 4, 77) (dual of [(41, 4), 51, 78]-NRT-code) [i]✔
14Linear OOA(3111, 40, F3, 4, 76) (dual of [(40, 4), 49, 77]-NRT-code) [i]✔
15Linear OOA(3127, 42, F3, 4, 89) (dual of [(42, 4), 41, 90]-NRT-code) [i]✔
16Linear OOA(3115, 42, F3, 4, 77) (dual of [(42, 4), 53, 78]-NRT-code) [i]✔
17Linear OOA(3131, 43, F3, 4, 91) (dual of [(43, 4), 41, 92]-NRT-code) [i]✔
18Linear OOA(3117, 43, F3, 4, 77) (dual of [(43, 4), 55, 78]-NRT-code) [i]✔
19Linear OOA(3136, 44, F3, 4, 93) (dual of [(44, 4), 40, 94]-NRT-code) [i]✔
20Linear OOA(3135, 44, F3, 4, 92) (dual of [(44, 4), 41, 93]-NRT-code) [i]✔
21Linear OOA(3120, 44, F3, 4, 77) (dual of [(44, 4), 56, 78]-NRT-code) [i]✔
22Linear OOA(3119, 44, F3, 4, 76) (dual of [(44, 4), 57, 77]-NRT-code) [i]✔
23Linear OOA(3228, 67, F3, 4, 142) (dual of [(67, 4), 40, 143]-NRT-code) [i]✔
24Linear OOA(3227, 67, F3, 4, 141) (dual of [(67, 4), 41, 142]-NRT-code) [i]✔
25Linear OOA(3216, 64, F3, 4, 136) (dual of [(64, 4), 40, 137]-NRT-code) [i]✔
26Linear OOA(3215, 64, F3, 4, 135) (dual of [(64, 4), 41, 136]-NRT-code) [i]✔