Information on Result #924208
Linear OOA(8109, 108, F8, 2, 61) (dual of [(108, 2), 107, 62]-NRT-code), using construction X applied to AG(2;F,132P) ⊂ AG(2;F,143P) based on
- linear OOA(898, 97, F8, 2, 61) (dual of [(97, 2), 96, 62]-NRT-code), using algebraic-geometric NRT-code AG(2;F,132P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98, using
- linear OOA(887, 97, F8, 2, 50) (dual of [(97, 2), 107, 51]-NRT-code), using algebraic-geometric NRT-code AG(2;F,143P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98 (see above)
- linear OOA(811, 11, F8, 2, 10) (dual of [(11, 2), 11, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(811, 14, F8, 2, 10) (dual of [(14, 2), 17, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,17P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using
- discarding factors / shortening the dual code based on linear OOA(811, 14, F8, 2, 10) (dual of [(14, 2), 17, 11]-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(8109, 54, F8, 3, 61) (dual of [(54, 3), 53, 62]-NRT-code) | [i] | OOA Folding | |