Information on Result #995308

Linear OOA(440, 21, F4, 3, 33) (dual of [(21, 3), 23, 34]-NRT-code), using extended algebraic-geometric NRT-code AGe(3;F,29P) 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(440, 21, F4, 3, 32) (dual of [(21, 3), 23, 33]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(461, 38, F4, 3, 33) (dual of [(38, 3), 53, 34]-NRT-code) [i](u, u+v)-Construction for OOAs
3Linear OOA(463, 42, F4, 3, 33) (dual of [(42, 3), 63, 34]-NRT-code) [i]
4Linear OOA(4184, 151, F4, 3, 66) (dual of [(151, 3), 269, 67]-NRT-code) [i]
5Linear OOA(4259, 552, F4, 3, 66) (dual of [(552, 3), 1397, 67]-NRT-code) [i]
6Linear OOA(4186, 151, F4, 3, 67) (dual of [(151, 3), 267, 68]-NRT-code) [i]
7Linear OOA(4200, 72, F4, 3, 135) (dual of [(72, 3), 16, 136]-NRT-code) [i]Generalized (u, u+v)-Construction for OOAs
8Linear OOA(4206, 76, F4, 3, 135) (dual of [(76, 3), 22, 136]-NRT-code) [i]
9Linear OOA(4199, 72, F4, 3, 134) (dual of [(72, 3), 17, 135]-NRT-code) [i]
10Linear OOA(4205, 76, F4, 3, 134) (dual of [(76, 3), 23, 135]-NRT-code) [i]
11Linear OOA(4190, 70, F4, 3, 131) (dual of [(70, 3), 20, 132]-NRT-code) [i]Juxtaposition for OOAs
12Linear OOA(4193, 71, F4, 3, 134) (dual of [(71, 3), 20, 135]-NRT-code) [i]
13Linear OOA(4196, 72, F4, 3, 137) (dual of [(72, 3), 20, 138]-NRT-code) [i]
14Linear OOA(4199, 73, F4, 3, 140) (dual of [(73, 3), 20, 141]-NRT-code) [i]
15Linear OOA(4202, 74, F4, 3, 143) (dual of [(74, 3), 20, 144]-NRT-code) [i]
16Linear OOA(4205, 75, F4, 3, 146) (dual of [(75, 3), 20, 147]-NRT-code) [i]
17Linear OOA(4208, 76, F4, 3, 149) (dual of [(76, 3), 20, 150]-NRT-code) [i]
18Linear OOA(4208, 75, F4, 3, 152) (dual of [(75, 3), 17, 153]-NRT-code) [i]
19Linear OOA(4208, 74, F4, 3, 155) (dual of [(74, 3), 14, 156]-NRT-code) [i]
20Linear OOA(2143, 63, F2, 3, 67) (dual of [(63, 3), 46, 68]-NRT-code) [i]Concatenation of Two NRT-Codes
21Linear OOA(2140, 60, F2, 3, 67) (dual of [(60, 3), 40, 68]-NRT-code) [i]
22Linear OOA(2137, 57, F2, 3, 67) (dual of [(57, 3), 34, 68]-NRT-code) [i]
23Linear OOA(2134, 54, F2, 3, 67) (dual of [(54, 3), 28, 68]-NRT-code) [i]
24Linear OOA(4204, 76, F4, 3, 142) (dual of [(76, 3), 24, 143]-NRT-code) [i]Construction X with Algebraic-Geometric NRT-Codes