Information on Result #923693
Linear OOA(8123, 102, F8, 2, 81) (dual of [(102, 2), 81, 82]-NRT-code), using construction X applied to AG(2;F,112P) ⊂ AG(2;F,118P) based on
- linear OOA(8118, 97, F8, 2, 81) (dual of [(97, 2), 76, 82]-NRT-code), using algebraic-geometric NRT-code AG(2;F,112P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98, using
- linear OOA(8112, 97, F8, 2, 75) (dual of [(97, 2), 82, 76]-NRT-code), using algebraic-geometric NRT-code AG(2;F,118P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98 (see above)
- linear OOA(85, 5, F8, 2, 5) (dual of [(5, 2), 5, 6]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(85, 8, F8, 2, 5) (dual of [(8, 2), 11, 6]-NRT-code), using
- Reed–Solomon NRT-code RS(2;11,8) [i]
- discarding factors / shortening the dual code based on linear OOA(85, 8, F8, 2, 5) (dual of [(8, 2), 11, 6]-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(8123, 51, F8, 3, 81) (dual of [(51, 3), 30, 82]-NRT-code) | [i] | OOA Folding | |