Information on Result #1027791
Linear OOA(9122, 43, F9, 3, 112) (dual of [(43, 3), 7, 113]-NRT-code), using juxtaposition based on
- linear OOA(938, 15, F9, 3, 37) (dual of [(15, 3), 7, 38]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(938, 16, F9, 3, 37) (dual of [(16, 3), 10, 38]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,10P) [i] based on function field F/F9 with g(F) = 1 and N(F) ≥ 16, using
- discarding factors / shortening the dual code based on linear OOA(938, 16, F9, 3, 37) (dual of [(16, 3), 10, 38]-NRT-code), using
- linear OOA(977, 28, F9, 3, 74) (dual of [(28, 3), 7, 75]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,9P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- extended algebraic-geometric NRT-code AGe(3;F,9P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, 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(9122, 43, F9, 3, 111) (dual of [(43, 3), 7, 112]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(9122, 43, F9, 3, 110) (dual of [(43, 3), 7, 111]-NRT-code) | [i] | ||