Information on Result #923690
Linear OOA(8126, 102, F8, 2, 84) (dual of [(102, 2), 78, 85]-NRT-code), using construction X applied to AG(2;F,109P) ⊂ AG(2;F,115P) based on
- linear OOA(8121, 97, F8, 2, 84) (dual of [(97, 2), 73, 85]-NRT-code), using algebraic-geometric NRT-code AG(2;F,109P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98, using
- linear OOA(8115, 97, F8, 2, 78) (dual of [(97, 2), 79, 79]-NRT-code), using algebraic-geometric NRT-code AG(2;F,115P) [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(8126, 51, F8, 3, 84) (dual of [(51, 3), 27, 85]-NRT-code) | [i] | OOA Folding | |