Information on Result #1039619
Linear OOA(5108, 85, F5, 3, 58) (dual of [(85, 3), 147, 59]-NRT-code), using construction X applied to AG(3;F,172P) ⊂ AG(3;F,184P) based on
- linear OOA(596, 77, F5, 3, 58) (dual of [(77, 3), 135, 59]-NRT-code), using algebraic-geometric NRT-code AG(3;F,172P) [i] based on function field F/F5 with g(F) = 38 and N(F) ≥ 78, using
- linear OOA(584, 77, F5, 3, 46) (dual of [(77, 3), 147, 47]-NRT-code), using algebraic-geometric NRT-code AG(3;F,184P) [i] based on function field F/F5 with g(F) = 38 and N(F) ≥ 78 (see above)
- linear OOA(512, 8, F5, 3, 11) (dual of [(8, 3), 12, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(512, 10, F5, 3, 11) (dual of [(10, 3), 18, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,18P) [i] based on function field F/F5 with g(F) = 1 and N(F) ≥ 10, using
- discarding factors / shortening the dual code based on linear OOA(512, 10, F5, 3, 11) (dual of [(10, 3), 18, 12]-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(5108, 85, F5, 3, 57) (dual of [(85, 3), 147, 58]-NRT-code) | [i] | Strength Reduction for OOAs | |