Information on Result #1041906
Linear OOA(8166, 102, F8, 3, 122) (dual of [(102, 3), 140, 123]-NRT-code), using construction X applied to AG(3;F,168P) ⊂ AG(3;F,176P) based on
- linear OOA(8159, 97, F8, 3, 122) (dual of [(97, 3), 132, 123]-NRT-code), using algebraic-geometric NRT-code AG(3;F,168P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98, using
- linear OOA(8151, 97, F8, 3, 114) (dual of [(97, 3), 140, 115]-NRT-code), using algebraic-geometric NRT-code AG(3;F,176P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98 (see above)
- linear OOA(87, 5, F8, 3, 7) (dual of [(5, 3), 8, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(87, 8, F8, 3, 7) (dual of [(8, 3), 17, 8]-NRT-code), using
- Reed–Solomon NRT-code RS(3;17,8) [i]
- discarding factors / shortening the dual code based on linear OOA(87, 8, F8, 3, 7) (dual of [(8, 3), 17, 8]-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(8166, 102, F8, 3, 121) (dual of [(102, 3), 140, 122]-NRT-code) | [i] | Strength Reduction for OOAs | |