Information on Result #1091302
Linear OOA(3186, 56, F3, 4, 122) (dual of [(56, 4), 38, 123]-NRT-code), using construction X applied to AG(4;F,65P) ⊂ AG(4;F,82P) based on
- linear OOA(3167, 47, F3, 4, 122) (dual of [(47, 4), 21, 123]-NRT-code), using algebraic-geometric NRT-code AG(4;F,65P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
- linear OOA(3150, 47, F3, 4, 105) (dual of [(47, 4), 38, 106]-NRT-code), using algebraic-geometric NRT-code AG(4;F,82P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
- linear OOA(319, 9, F3, 4, 16) (dual of [(9, 4), 17, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(319, 10, F3, 4, 16) (dual of [(10, 4), 21, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,23P) [i] based on function field F/F3 with g(F) = 3 and N(F) ≥ 10, using
- discarding factors / shortening the dual code based on linear OOA(319, 10, F3, 4, 16) (dual of [(10, 4), 21, 17]-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(3186, 56, F3, 4, 121) (dual of [(56, 4), 38, 122]-NRT-code) | [i] | Strength Reduction for OOAs | |