Information on Result #880911
Linear OOA(428, 21, F4, 2, 21) (dual of [(21, 2), 14, 22]-NRT-code), using extended algebraic-geometric NRT-code AGe(2;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(428, 21, F4, 2, 20) (dual of [(21, 2), 14, 21]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(430, 22, F4, 2, 21) (dual of [(22, 2), 14, 22]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(443, 38, F4, 2, 21) (dual of [(38, 2), 33, 22]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(4124, 151, F4, 2, 42) (dual of [(151, 2), 178, 43]-NRT-code) | [i] | ||
| 5 | Linear OOA(471, 43, F4, 2, 43) (dual of [(43, 2), 15, 44]-NRT-code) | [i] | ||
| 6 | Linear OOA(4126, 151, F4, 2, 43) (dual of [(151, 2), 176, 44]-NRT-code) | [i] | ||
| 7 | Linear OOA(4109, 63, F4, 2, 65) (dual of [(63, 2), 17, 66]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 8 | Linear OOA(482, 48, F4, 2, 52) (dual of [(48, 2), 14, 53]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 9 | Linear OOA(482, 47, F4, 2, 54) (dual of [(47, 2), 12, 55]-NRT-code) | [i] | ||
| 10 | Linear OOA(482, 46, F4, 2, 56) (dual of [(46, 2), 10, 57]-NRT-code) | [i] | ||
| 11 | Linear OOA(298, 63, F2, 2, 43) (dual of [(63, 2), 28, 44]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 12 | Linear OOA(296, 60, F2, 2, 43) (dual of [(60, 2), 24, 44]-NRT-code) | [i] | ||
| 13 | Linear OOA(294, 57, F2, 2, 43) (dual of [(57, 2), 20, 44]-NRT-code) | [i] | ||
| 14 | Linear OOA(479, 46, F4, 2, 51) (dual of [(46, 2), 13, 52]-NRT-code) | [i] | Construction X with Algebraic-Geometric NRT-Codes | |