Information on Result #1027672
Linear OOA(5123, 42, F5, 3, 112) (dual of [(42, 3), 3, 113]-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(5105, 36, F5, 3, 96) (dual of [(36, 3), 3, 97]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(515, 6, F5, 3, 15) (dual of [(6, 3), 3, 16]-NRT-code) (see above)
- linear OOA(587, 30, F5, 3, 80) (dual of [(30, 3), 3, 81]-NRT-code), using
- repeating each code word 3 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 3 times [i] based on linear OOA(527, 10, F5, 3, 26) (dual of [(10, 3), 3, 27]-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(5121, 41, F5, 3, 110) (dual of [(41, 3), 2, 111]-NRT-code) | [i] | Truncation for OOAs | |
| 2 | Linear OOA(5115, 39, F5, 3, 104) (dual of [(39, 3), 2, 105]-NRT-code) | [i] | ||
| 3 | Linear OOA(5114, 39, F5, 3, 103) (dual of [(39, 3), 3, 104]-NRT-code) | [i] | ||
| 4 | Linear OOA(5112, 38, F5, 3, 101) (dual of [(38, 3), 2, 102]-NRT-code) | [i] | ||
| 5 | Linear OOA(5111, 38, F5, 3, 100) (dual of [(38, 3), 3, 101]-NRT-code) | [i] | ||
| 6 | Linear OOA(5109, 37, F5, 3, 98) (dual of [(37, 3), 2, 99]-NRT-code) | [i] | ||
| 7 | Linear OOA(5108, 37, F5, 3, 97) (dual of [(37, 3), 3, 98]-NRT-code) | [i] | ||