Information on Result #1091314
Linear OOA(3174, 56, F3, 4, 110) (dual of [(56, 4), 50, 111]-NRT-code), using construction X applied to AG(4;F,77P) ⊂ AG(4;F,94P) based on
- 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, using
- linear OOA(3138, 47, F3, 4, 93) (dual of [(47, 4), 50, 94]-NRT-code), using algebraic-geometric NRT-code AG(4;F,94P) [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(3174, 56, F3, 4, 109) (dual of [(56, 4), 50, 110]-NRT-code) | [i] | Strength Reduction for OOAs | |