Information on Result #1039577
Linear OOA(5150, 85, F5, 3, 100) (dual of [(85, 3), 105, 101]-NRT-code), using construction X applied to AG(3;F,130P) ⊂ AG(3;F,142P) based on
- linear OOA(5138, 77, F5, 3, 100) (dual of [(77, 3), 93, 101]-NRT-code), using algebraic-geometric NRT-code AG(3;F,130P) [i] based on function field F/F5 with g(F) = 38 and N(F) ≥ 78, using
- linear OOA(5126, 77, F5, 3, 88) (dual of [(77, 3), 105, 89]-NRT-code), using algebraic-geometric NRT-code AG(3;F,142P) [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(5150, 85, F5, 3, 99) (dual of [(85, 3), 105, 100]-NRT-code) | [i] | Strength Reduction for OOAs | |