Information on Result #921721
Linear OOA(5145, 109, F5, 2, 70) (dual of [(109, 2), 73, 71]-NRT-code), using construction X applied to AG(2;F,83P) ⊂ AG(2;F,110P) based on
- linear OOA(5108, 77, F5, 2, 70) (dual of [(77, 2), 46, 71]-NRT-code), using algebraic-geometric NRT-code AG(2;F,83P) [i] based on function field F/F5 with g(F) = 38 and N(F) ≥ 78, using
- linear OOA(581, 77, F5, 2, 43) (dual of [(77, 2), 73, 44]-NRT-code), using algebraic-geometric NRT-code AG(2;F,110P) [i] based on function field F/F5 with g(F) = 38 and N(F) ≥ 78 (see above)
- linear OOA(537, 32, F5, 2, 26) (dual of [(32, 2), 27, 27]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,37P) [i] based on function field F/F5 with g(F) = 11 and N(F) ≥ 32, 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(5145, 109, F5, 2, 69) (dual of [(109, 2), 73, 70]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(5147, 110, F5, 2, 70) (dual of [(110, 2), 73, 71]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |