Information on Result #1126186
Linear OOA(3131, 52, F3, 5, 73) (dual of [(52, 5), 129, 74]-NRT-code), using construction X applied to AG(5;F,161P) ⊂ AG(5;F,174P) based on
- linear OOA(3118, 47, F3, 5, 73) (dual of [(47, 5), 117, 74]-NRT-code), using algebraic-geometric NRT-code AG(5;F,161P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
- linear OOA(3105, 47, F3, 5, 60) (dual of [(47, 5), 130, 61]-NRT-code), using algebraic-geometric NRT-code AG(5;F,174P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
- linear OOA(313, 5, F3, 5, 12) (dual of [(5, 5), 12, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(313, 7, F3, 5, 12) (dual of [(7, 5), 22, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,22P) [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, using
- discarding factors / shortening the dual code based on linear OOA(313, 7, F3, 5, 12) (dual of [(7, 5), 22, 13]-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(3131, 52, F3, 5, 72) (dual of [(52, 5), 129, 73]-NRT-code) | [i] | Strength Reduction for OOAs | |