Information on Result #995310

Linear OOA(442, 21, F4, 3, 35) (dual of [(21, 3), 21, 36]-NRT-code), using extended algebraic-geometric NRT-code AGe(3;F,27P) 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(442, 21, F4, 3, 34) (dual of [(21, 3), 21, 35]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(4102, 40, F4, 3, 71) (dual of [(40, 3), 18, 72]-NRT-code) [i]Repeating Each Code Word for NRT-Codes
3Linear OOA(499, 38, F4, 3, 71) (dual of [(38, 3), 15, 72]-NRT-code) [i]
4Linear OOA(464, 38, F4, 3, 35) (dual of [(38, 3), 50, 36]-NRT-code) [i](u, u+v)-Construction for OOAs
5Linear OOA(466, 42, F4, 3, 35) (dual of [(42, 3), 60, 36]-NRT-code) [i]
6Linear OOA(4194, 151, F4, 3, 70) (dual of [(151, 3), 259, 71]-NRT-code) [i]
7Linear OOA(4196, 151, F4, 3, 71) (dual of [(151, 3), 257, 72]-NRT-code) [i]
8Linear OOA(4210, 76, F4, 3, 143) (dual of [(76, 3), 18, 144]-NRT-code) [i]Generalized (u, u+v)-Construction for OOAs
9Linear OOA(4209, 76, F4, 3, 140) (dual of [(76, 3), 19, 141]-NRT-code) [i]
10Linear OOA(4189, 70, F4, 3, 129) (dual of [(70, 3), 21, 130]-NRT-code) [i]Juxtaposition for OOAs
11Linear OOA(4192, 71, F4, 3, 132) (dual of [(71, 3), 21, 133]-NRT-code) [i]
12Linear OOA(4195, 72, F4, 3, 135) (dual of [(72, 3), 21, 136]-NRT-code) [i]
13Linear OOA(4198, 73, F4, 3, 138) (dual of [(73, 3), 21, 139]-NRT-code) [i]
14Linear OOA(4201, 74, F4, 3, 141) (dual of [(74, 3), 21, 142]-NRT-code) [i]
15Linear OOA(4204, 75, F4, 3, 144) (dual of [(75, 3), 21, 145]-NRT-code) [i]
16Linear OOA(4207, 76, F4, 3, 147) (dual of [(76, 3), 21, 148]-NRT-code) [i]
17Linear OOA(4210, 77, F4, 3, 150) (dual of [(77, 3), 21, 151]-NRT-code) [i]
18Linear OOA(4210, 76, F4, 3, 153) (dual of [(76, 3), 18, 154]-NRT-code) [i]
19Linear OOA(4123, 46, F4, 3, 92) (dual of [(46, 3), 15, 93]-NRT-code) [i]
20Linear OOA(4210, 75, F4, 3, 156) (dual of [(75, 3), 15, 157]-NRT-code) [i]
21Linear OOA(2147, 63, F2, 3, 71) (dual of [(63, 3), 42, 72]-NRT-code) [i]Concatenation of Two NRT-Codes
22Linear OOA(2144, 60, F2, 3, 71) (dual of [(60, 3), 36, 72]-NRT-code) [i]
23Linear OOA(2141, 57, F2, 3, 71) (dual of [(57, 3), 30, 72]-NRT-code) [i]
24Linear OOA(4206, 76, F4, 3, 146) (dual of [(76, 3), 22, 147]-NRT-code) [i]Construction X with Algebraic-Geometric NRT-Codes