Information on Result #1039968
Linear OOA(5141, 94, F5, 3, 76) (dual of [(94, 3), 141, 77]-NRT-code), using construction X applied to AG(3;F,154P) ⊂ AG(3;F,178P) based on
- linear OOA(5114, 77, F5, 3, 76) (dual of [(77, 3), 117, 77]-NRT-code), using algebraic-geometric NRT-code AG(3;F,154P) [i] based on function field F/F5 with g(F) = 38 and N(F) ≥ 78, using
- linear OOA(590, 77, F5, 3, 52) (dual of [(77, 3), 141, 53]-NRT-code), using algebraic-geometric NRT-code AG(3;F,178P) [i] based on function field F/F5 with g(F) = 38 and N(F) ≥ 78 (see above)
- linear OOA(527, 17, F5, 3, 23) (dual of [(17, 3), 24, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(527, 18, F5, 3, 23) (dual of [(18, 3), 27, 24]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,30P) [i] based on function field F/F5 with g(F) = 4 and N(F) ≥ 18, using
- discarding factors / shortening the dual code based on linear OOA(527, 18, F5, 3, 23) (dual of [(18, 3), 27, 24]-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(5141, 94, F5, 3, 75) (dual of [(94, 3), 141, 76]-NRT-code) | [i] | Strength Reduction for OOAs | |