Information on Result #995309

Linear OOA(441, 21, F4, 3, 34) (dual of [(21, 3), 22, 35]-NRT-code), using extended algebraic-geometric NRT-code AGe(3;F,28P) based on function field F/F4 with g(F) = 7 and N(F) ≥ 21, 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(441, 21, F4, 3, 33) (dual of [(21, 3), 22, 34]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(4101, 40, F4, 3, 69) (dual of [(40, 3), 19, 70]-NRT-code) [i]Repeating Each Code Word for NRT-Codes
3Linear OOA(498, 38, F4, 3, 69) (dual of [(38, 3), 16, 70]-NRT-code) [i]
4Linear OOA(463, 38, F4, 3, 34) (dual of [(38, 3), 51, 35]-NRT-code) [i](u, u+v)-Construction for OOAs
5Linear OOA(465, 42, F4, 3, 34) (dual of [(42, 3), 61, 35]-NRT-code) [i]
6Linear OOA(4189, 151, F4, 3, 68) (dual of [(151, 3), 264, 69]-NRT-code) [i]
7Linear OOA(4191, 151, F4, 3, 69) (dual of [(151, 3), 262, 70]-NRT-code) [i]
8Linear OOA(4208, 76, F4, 3, 139) (dual of [(76, 3), 20, 140]-NRT-code) [i]Generalized (u, u+v)-Construction for OOAs
9Linear OOA(4201, 72, F4, 3, 137) (dual of [(72, 3), 15, 138]-NRT-code) [i]
10Linear OOA(4207, 76, F4, 3, 137) (dual of [(76, 3), 21, 138]-NRT-code) [i]
11Linear OOA(4209, 76, F4, 3, 151) (dual of [(76, 3), 19, 152]-NRT-code) [i]Juxtaposition for OOAs
12Linear OOA(4122, 46, F4, 3, 90) (dual of [(46, 3), 16, 91]-NRT-code) [i]
13Linear OOA(4209, 75, F4, 3, 154) (dual of [(75, 3), 16, 155]-NRT-code) [i]
14Linear OOA(4209, 74, F4, 3, 157) (dual of [(74, 3), 13, 158]-NRT-code) [i]
15Linear OOA(2145, 63, F2, 3, 69) (dual of [(63, 3), 44, 70]-NRT-code) [i]Concatenation of Two NRT-Codes
16Linear OOA(2142, 60, F2, 3, 69) (dual of [(60, 3), 38, 70]-NRT-code) [i]
17Linear OOA(2139, 57, F2, 3, 69) (dual of [(57, 3), 32, 70]-NRT-code) [i]
18Linear OOA(2136, 54, F2, 3, 69) (dual of [(54, 3), 26, 70]-NRT-code) [i]
19Linear OOA(4205, 76, F4, 3, 144) (dual of [(76, 3), 23, 145]-NRT-code) [i]Construction X with Algebraic-Geometric NRT-Codes