Information on Result #1073081
Linear OOA(372, 28, F3, 4, 57) (dual of [(28, 4), 40, 58]-NRT-code), using extended algebraic-geometric NRT-code AGe(4;F,54P) based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, 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(372, 28, F3, 4, 56) (dual of [(28, 4), 40, 57]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(372, 28, F3, 4, 55) (dual of [(28, 4), 40, 56]-NRT-code) | [i] | ||
| 3 | Linear OOA(372, 28, F3, 4, 54) (dual of [(28, 4), 40, 55]-NRT-code) | [i] | ||
| 4 | Linear OOA(376, 29, F3, 4, 57) (dual of [(29, 4), 40, 58]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(3184, 56, F3, 4, 115) (dual of [(56, 4), 40, 116]-NRT-code) | [i] | Repeating Each Code Word for NRT-Codes | |
| 6 | Linear OOA(3180, 54, F3, 4, 115) (dual of [(54, 4), 36, 116]-NRT-code) | [i] | ||
| 7 | Linear OOA(3113, 52, F3, 4, 57) (dual of [(52, 4), 95, 58]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 8 | Linear OOA(3115, 56, F3, 4, 57) (dual of [(56, 4), 109, 58]-NRT-code) | [i] | ||
| 9 | Linear OOA(3187, 57, F3, 4, 114) (dual of [(57, 4), 41, 115]-NRT-code) | [i] | ||
| 10 | Linear OOA(3187, 57, F3, 4, 115) (dual of [(57, 4), 41, 116]-NRT-code) | [i] | ||
| 11 | Linear OOA(3225, 75, F3, 4, 115) (dual of [(75, 4), 75, 116]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 12 | Linear OOA(3227, 76, F3, 4, 115) (dual of [(76, 4), 77, 116]-NRT-code) | [i] | ||
| 13 | Linear OOA(3229, 78, F3, 4, 115) (dual of [(78, 4), 83, 116]-NRT-code) | [i] | ||
| 14 | Linear OOA(3233, 81, F3, 4, 115) (dual of [(81, 4), 91, 116]-NRT-code) | [i] | ||
| 15 | Linear OOA(3237, 84, F3, 4, 115) (dual of [(84, 4), 99, 116]-NRT-code) | [i] | ||
| 16 | Linear OOA(3240, 85, F3, 4, 115) (dual of [(85, 4), 100, 116]-NRT-code) | [i] | ||
| 17 | Linear OOA(3247, 87, F3, 4, 115) (dual of [(87, 4), 101, 116]-NRT-code) | [i] | ||
| 18 | Linear OOA(3195, 58, F3, 4, 123) (dual of [(58, 4), 37, 124]-NRT-code) | [i] | Construction X with Algebraic-Geometric NRT-Codes | |
| 19 | Linear OOA(3195, 59, F3, 4, 120) (dual of [(59, 4), 41, 121]-NRT-code) | [i] | ||
| 20 | Linear OOA(3211, 61, F3, 4, 139) (dual of [(61, 4), 33, 140]-NRT-code) | [i] | ||
| 21 | Linear OOA(3211, 63, F3, 4, 131) (dual of [(63, 4), 41, 132]-NRT-code) | [i] | ||
| 22 | Linear OOA(3215, 62, F3, 4, 143) (dual of [(62, 4), 33, 144]-NRT-code) | [i] | ||
| 23 | Linear OOA(3215, 64, F3, 4, 135) (dual of [(64, 4), 41, 136]-NRT-code) | [i] | ||