Information on Result #1126580
Linear OOA(3172, 56, F3, 5, 103) (dual of [(56, 5), 108, 104]-NRT-code), using construction X applied to AG(5;F,131P) ⊂ AG(5;F,153P) based on
- linear OOA(3148, 47, F3, 5, 103) (dual of [(47, 5), 87, 104]-NRT-code), using algebraic-geometric NRT-code AG(5;F,131P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
- linear OOA(3126, 47, F3, 5, 81) (dual of [(47, 5), 109, 82]-NRT-code), using algebraic-geometric NRT-code AG(5;F,153P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
- linear OOA(324, 9, F3, 5, 21) (dual of [(9, 5), 21, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(324, 10, F3, 5, 21) (dual of [(10, 5), 26, 22]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,28P) [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(324, 10, F3, 5, 21) (dual of [(10, 5), 26, 22]-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(3172, 56, F3, 5, 102) (dual of [(56, 5), 108, 103]-NRT-code) | [i] | Strength Reduction for OOAs | |