Information on Result #1091107
Linear OOA(3179, 53, F3, 4, 122) (dual of [(53, 4), 33, 123]-NRT-code), using construction X applied to AG(4;F,65P) ⊂ AG(4;F,77P) 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(3155, 47, F3, 4, 110) (dual of [(47, 4), 33, 111]-NRT-code), using algebraic-geometric NRT-code AG(4;F,77P) [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(3179, 53, F3, 4, 121) (dual of [(53, 4), 33, 122]-NRT-code) | [i] | Strength Reduction for OOAs | |