Information on Result #1091117
Linear OOA(3169, 53, F3, 4, 112) (dual of [(53, 4), 43, 113]-NRT-code), using construction X applied to AG(4;F,75P) ⊂ AG(4;F,87P) based on
- linear OOA(3157, 47, F3, 4, 112) (dual of [(47, 4), 31, 113]-NRT-code), using algebraic-geometric NRT-code AG(4;F,75P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
- linear OOA(3145, 47, F3, 4, 100) (dual of [(47, 4), 43, 101]-NRT-code), using algebraic-geometric NRT-code AG(4;F,87P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
- linear OOA(312, 6, F3, 4, 11) (dual of [(6, 4), 12, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(312, 7, F3, 4, 11) (dual of [(7, 4), 16, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,16P) [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(312, 7, F3, 4, 11) (dual of [(7, 4), 16, 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(3169, 53, F3, 4, 111) (dual of [(53, 4), 43, 112]-NRT-code) | [i] | Strength Reduction for OOAs | |