Information on Result #1027648
Linear OOA(5119, 41, F5, 3, 106) (dual of [(41, 3), 4, 107]-NRT-code), using juxtaposition based on
- linear OOA(523, 9, F5, 3, 22) (dual of [(9, 3), 4, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(523, 10, F5, 3, 22) (dual of [(10, 3), 7, 23]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,7P) [i] based on function field F/F5 with g(F) = 1 and N(F) ≥ 10, using
- discarding factors / shortening the dual code based on linear OOA(523, 10, F5, 3, 22) (dual of [(10, 3), 7, 23]-NRT-code), using
- linear OOA(592, 32, F5, 3, 83) (dual of [(32, 3), 4, 84]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(544, 16, F5, 3, 41) (dual of [(16, 3), 4, 42]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,6P) [i] based on function field F/F5 with g(F) = 3 and N(F) ≥ 16, using
- repeating each code word 2 times [i] based on linear OOA(544, 16, F5, 3, 41) (dual of [(16, 3), 4, 42]-NRT-code), 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(5149, 51, F5, 3, 132) (dual of [(51, 3), 4, 133]-NRT-code) | [i] | Juxtaposition for OOAs | |