Information on Result #928169
Linear OOA(9147, 101, F9, 2, 101) (dual of [(101, 2), 55, 102]-NRT-code), using construction X applied to AG(2;F,44P) ⊂ AG(2;F,71P) based on
- linear OOA(9118, 73, F9, 2, 101) (dual of [(73, 2), 28, 102]-NRT-code), using algebraic-geometric NRT-code AG(2;F,44P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
- linear OOA(991, 73, F9, 2, 74) (dual of [(73, 2), 55, 75]-NRT-code), using algebraic-geometric NRT-code AG(2;F,71P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74 (see above)
- linear OOA(929, 28, F9, 2, 26) (dual of [(28, 2), 27, 27]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,29P) [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(2;F,29P) [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(9147, 101, F9, 2, 100) (dual of [(101, 2), 55, 101]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(9149, 102, F9, 2, 101) (dual of [(102, 2), 55, 102]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |