Information on Result #1026537
Linear OOA(3125, 43, F3, 3, 102) (dual of [(43, 3), 4, 103]-NRT-code), using juxtaposition based on
- linear OOA(38, 4, F3, 3, 8) (dual of [(4, 3), 4, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;4,3) [i]
- linear OOA(3113, 39, F3, 3, 93) (dual of [(39, 3), 4, 94]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(38, 4, F3, 3, 8) (dual of [(4, 3), 4, 9]-NRT-code) (see above)
- linear OOA(3101, 35, F3, 3, 84) (dual of [(35, 3), 4, 85]-NRT-code), using
- repeating each code word 5 times [i] based on linear OOA(317, 7, F3, 3, 16) (dual of [(7, 3), 4, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,4P) [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, using
- repeating each code word 5 times [i] based on linear OOA(317, 7, F3, 3, 16) (dual of [(7, 3), 4, 17]-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(3125, 43, F3, 3, 101) (dual of [(43, 3), 4, 102]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3125, 43, F3, 3, 100) (dual of [(43, 3), 4, 101]-NRT-code) | [i] | ||
| 3 | Linear OOA(3125, 43, F3, 3, 99) (dual of [(43, 3), 4, 100]-NRT-code) | [i] | ||
| 4 | Linear OOA(3125, 43, F3, 3, 98) (dual of [(43, 3), 4, 99]-NRT-code) | [i] | ||
| 5 | Linear OOA(3215, 84, F3, 3, 102) (dual of [(84, 3), 37, 103]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |