Information on Result #1027674
Linear OOA(5150, 51, F5, 3, 136) (dual of [(51, 3), 3, 137]-NRT-code), using juxtaposition based on
- linear OOA(515, 6, F5, 3, 15) (dual of [(6, 3), 3, 16]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;3,5) [i]
- linear OOA(5132, 45, F5, 3, 120) (dual of [(45, 3), 3, 121]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(512, 5, F5, 3, 12) (dual of [(5, 3), 3, 13]-NRT-code), using
- Reed–Solomon NRT-code RS(3;3,5) [i]
- linear OOA(5117, 40, F5, 3, 107) (dual of [(40, 3), 3, 108]-NRT-code), using
- repeating each code word 4 times [i] based on linear OOA(527, 10, F5, 3, 26) (dual of [(10, 3), 3, 27]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,3P) [i] based on function field F/F5 with g(F) = 1 and N(F) ≥ 10, using
- repeating each code word 4 times [i] based on linear OOA(527, 10, F5, 3, 26) (dual of [(10, 3), 3, 27]-NRT-code), using
- linear OOA(512, 5, F5, 3, 12) (dual of [(5, 3), 3, 13]-NRT-code), using
- juxtaposition [i] based on
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(5144, 49, F5, 3, 130) (dual of [(49, 3), 3, 131]-NRT-code) | [i] | Truncation for OOAs | |
| 2 | Linear OOA(5139, 47, F5, 3, 125) (dual of [(47, 3), 2, 126]-NRT-code) | [i] | ||
| 3 | Linear OOA(5138, 47, F5, 3, 124) (dual of [(47, 3), 3, 125]-NRT-code) | [i] | ||
| 4 | Linear OOA(5136, 46, F5, 3, 122) (dual of [(46, 3), 2, 123]-NRT-code) | [i] | ||