Information on Result #995318
Linear OOA(450, 21, F4, 3, 43) (dual of [(21, 3), 13, 44]-NRT-code), using extended algebraic-geometric NRT-code AGe(3;F,19P) 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(450, 21, F4, 3, 42) (dual of [(21, 3), 13, 43]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4113, 42, F4, 3, 87) (dual of [(42, 3), 13, 88]-NRT-code) | [i] | Repeating Each Code Word for NRT-Codes | |
| 3 | Linear OOA(4176, 63, F4, 3, 131) (dual of [(63, 3), 13, 132]-NRT-code) | [i] | ||
| 4 | Linear OOA(4110, 40, F4, 3, 87) (dual of [(40, 3), 10, 88]-NRT-code) | [i] | ||
| 5 | Linear OOA(4107, 38, F4, 3, 87) (dual of [(38, 3), 7, 88]-NRT-code) | [i] | ||
| 6 | Linear OOA(4221, 76, F4, 3, 175) (dual of [(76, 3), 7, 176]-NRT-code) | [i] | ||
| 7 | Linear OOA(4234, 151, F4, 3, 86) (dual of [(151, 3), 219, 87]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 8 | Linear OOA(4238, 84, F4, 3, 175) (dual of [(84, 3), 14, 176]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 9 | Linear OOA(4197, 72, F4, 3, 131) (dual of [(72, 3), 19, 132]-NRT-code) | [i] | ||
| 10 | Linear OOA(4203, 76, F4, 3, 131) (dual of [(76, 3), 25, 132]-NRT-code) | [i] | ||
| 11 | Linear OOA(495, 36, F4, 3, 72) (dual of [(36, 3), 13, 73]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 12 | Linear OOA(498, 37, F4, 3, 74) (dual of [(37, 3), 13, 75]-NRT-code) | [i] | ||
| 13 | Linear OOA(4101, 38, F4, 3, 77) (dual of [(38, 3), 13, 78]-NRT-code) | [i] | ||
| 14 | Linear OOA(4131, 48, F4, 3, 102) (dual of [(48, 3), 13, 103]-NRT-code) | [i] | ||
| 15 | Linear OOA(4134, 49, F4, 3, 103) (dual of [(49, 3), 13, 104]-NRT-code) | [i] | ||
| 16 | Linear OOA(4212, 75, F4, 3, 161) (dual of [(75, 3), 13, 162]-NRT-code) | [i] | ||
| 17 | Linear OOA(4218, 77, F4, 3, 166) (dual of [(77, 3), 13, 167]-NRT-code) | [i] | ||
| 18 | Linear OOA(4131, 47, F4, 3, 105) (dual of [(47, 3), 10, 106]-NRT-code) | [i] | ||
| 19 | Linear OOA(4212, 74, F4, 3, 167) (dual of [(74, 3), 10, 168]-NRT-code) | [i] | ||
| 20 | Linear OOA(4131, 46, F4, 3, 108) (dual of [(46, 3), 7, 109]-NRT-code) | [i] | ||
| 21 | Linear OOA(4212, 73, F4, 3, 173) (dual of [(73, 3), 7, 174]-NRT-code) | [i] | ||
| 22 | Linear OOA(2163, 63, F2, 3, 87) (dual of [(63, 3), 26, 88]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 23 | Linear OOA(4214, 76, F4, 3, 162) (dual of [(76, 3), 14, 163]-NRT-code) | [i] | Construction X with Algebraic-Geometric NRT-Codes | |