Information on Result #995317
Linear OOA(449, 21, F4, 3, 42) (dual of [(21, 3), 14, 43]-NRT-code), using extended algebraic-geometric NRT-code AGe(3;F,20P) 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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(449, 21, F4, 3, 41) (dual of [(21, 3), 14, 42]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4112, 42, F4, 3, 85) (dual of [(42, 3), 14, 86]-NRT-code) | [i] | Repeating Each Code Word for NRT-Codes | |
| 3 | Linear OOA(4175, 63, F4, 3, 128) (dual of [(63, 3), 14, 129]-NRT-code) | [i] | ||
| 4 | Linear OOA(4109, 40, F4, 3, 85) (dual of [(40, 3), 11, 86]-NRT-code) | [i] | ||
| 5 | Linear OOA(4169, 60, F4, 3, 128) (dual of [(60, 3), 11, 129]-NRT-code) | [i] | ||
| 6 | Linear OOA(4106, 38, F4, 3, 85) (dual of [(38, 3), 8, 86]-NRT-code) | [i] | ||
| 7 | Linear OOA(4163, 57, F4, 3, 128) (dual of [(57, 3), 8, 129]-NRT-code) | [i] | ||
| 8 | Linear OOA(4220, 76, F4, 3, 171) (dual of [(76, 3), 8, 172]-NRT-code) | [i] | ||
| 9 | Linear OOA(4229, 151, F4, 3, 84) (dual of [(151, 3), 224, 85]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 10 | Linear OOA(4231, 151, F4, 3, 85) (dual of [(151, 3), 222, 86]-NRT-code) | [i] | ||
| 11 | Linear OOA(4237, 84, F4, 3, 171) (dual of [(84, 3), 15, 172]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 12 | Linear OOA(4219, 76, F4, 3, 170) (dual of [(76, 3), 9, 171]-NRT-code) | [i] | ||
| 13 | Linear OOA(497, 37, F4, 3, 72) (dual of [(37, 3), 14, 73]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 14 | Linear OOA(4100, 38, F4, 3, 75) (dual of [(38, 3), 14, 76]-NRT-code) | [i] | ||
| 15 | Linear OOA(4130, 48, F4, 3, 100) (dual of [(48, 3), 14, 101]-NRT-code) | [i] | ||
| 16 | Linear OOA(4133, 49, F4, 3, 101) (dual of [(49, 3), 14, 102]-NRT-code) | [i] | ||
| 17 | Linear OOA(4217, 77, F4, 3, 164) (dual of [(77, 3), 14, 165]-NRT-code) | [i] | ||
| 18 | Linear OOA(4130, 47, F4, 3, 103) (dual of [(47, 3), 11, 104]-NRT-code) | [i] | ||
| 19 | Linear OOA(4211, 74, F4, 3, 164) (dual of [(74, 3), 11, 165]-NRT-code) | [i] | ||
| 20 | Linear OOA(4130, 46, F4, 3, 106) (dual of [(46, 3), 8, 107]-NRT-code) | [i] | ||
| 21 | Linear OOA(4211, 73, F4, 3, 170) (dual of [(73, 3), 8, 171]-NRT-code) | [i] | ||
| 22 | Linear OOA(2161, 63, F2, 3, 85) (dual of [(63, 3), 28, 86]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 23 | Linear OOA(2158, 60, F2, 3, 85) (dual of [(60, 3), 22, 86]-NRT-code) | [i] | ||
| 24 | Linear OOA(4213, 76, F4, 3, 160) (dual of [(76, 3), 15, 161]-NRT-code) | [i] | Construction X with Algebraic-Geometric NRT-Codes | |