Information on Result #1027798
Linear OOA(9120, 42, F9, 3, 111) (dual of [(42, 3), 6, 112]-NRT-code), using juxtaposition based on
- linear OOA(936, 14, F9, 3, 35) (dual of [(14, 3), 6, 36]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(936, 16, F9, 3, 35) (dual of [(16, 3), 12, 36]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,12P) [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(936, 16, F9, 3, 35) (dual of [(16, 3), 12, 36]-NRT-code), using
- linear OOA(978, 28, F9, 3, 75) (dual of [(28, 3), 6, 76]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,8P) [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,8P) [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(9120, 42, F9, 3, 110) (dual of [(42, 3), 6, 111]-NRT-code) | [i] | Strength Reduction for OOAs | |