Information on Result #1126250
Linear OOA(3181, 53, F3, 5, 121) (dual of [(53, 5), 84, 122]-NRT-code), using construction X applied to AG(5;F,113P) ⊂ AG(5;F,128P) based on
- linear OOA(3166, 47, F3, 5, 121) (dual of [(47, 5), 69, 122]-NRT-code), using algebraic-geometric NRT-code AG(5;F,113P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
- linear OOA(3151, 47, F3, 5, 106) (dual of [(47, 5), 84, 107]-NRT-code), using algebraic-geometric NRT-code AG(5;F,128P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
- linear OOA(315, 6, F3, 5, 14) (dual of [(6, 5), 15, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(315, 7, F3, 5, 14) (dual of [(7, 5), 20, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,20P) [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(315, 7, F3, 5, 14) (dual of [(7, 5), 20, 15]-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(3181, 53, F3, 5, 120) (dual of [(53, 5), 84, 121]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3181, 53, F3, 5, 119) (dual of [(53, 5), 84, 120]-NRT-code) | [i] | ||