Information on Result #1084620
Linear OOA(3222, 81, F3, 4, 103) (dual of [(81, 4), 102, 104]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(349, 27, F3, 4, 34) (dual of [(27, 4), 59, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(349, 28, F3, 4, 34) (dual of [(28, 4), 63, 35]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,77P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
- discarding factors / shortening the dual code based on linear OOA(349, 28, F3, 4, 34) (dual of [(28, 4), 63, 35]-NRT-code), using
- linear OOA(366, 27, F3, 4, 51) (dual of [(27, 4), 42, 52]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(366, 28, F3, 4, 51) (dual of [(28, 4), 46, 52]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,60P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28 (see above)
- discarding factors / shortening the dual code based on linear OOA(366, 28, F3, 4, 51) (dual of [(28, 4), 46, 52]-NRT-code), using
- linear OOA(3107, 27, F3, 4, 103) (dual of [(27, 4), 1, 104]-NRT-code), using
- strength reduction [i] based on linear OOA(3107, 27, F3, 4, 107) (dual of [(27, 4), 1, 108]-NRT-code), using
- dual of repetition NRT-code with length 27 [i]
- strength reduction [i] based on linear OOA(3107, 27, F3, 4, 107) (dual of [(27, 4), 1, 108]-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(3222, 81, F3, 4, 102) (dual of [(81, 4), 102, 103]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3221, 80, F3, 4, 102) (dual of [(80, 4), 99, 103]-NRT-code) | [i] | Truncation for OOAs | |