Information on Result #924639
Linear OOA(8139, 116, F8, 2, 82) (dual of [(116, 2), 93, 83]-NRT-code), using construction X applied to AG(2;F,111P) ⊂ AG(2;F,129P) based on
- linear OOA(8119, 97, F8, 2, 82) (dual of [(97, 2), 75, 83]-NRT-code), using algebraic-geometric NRT-code AG(2;F,111P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98, using
- linear OOA(8101, 97, F8, 2, 64) (dual of [(97, 2), 93, 65]-NRT-code), using algebraic-geometric NRT-code AG(2;F,129P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98 (see above)
- linear OOA(820, 19, F8, 2, 17) (dual of [(19, 2), 18, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(820, 24, F8, 2, 17) (dual of [(24, 2), 28, 18]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,30P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- extended algebraic-geometric NRT-code AGe(2;F,30P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OOA(820, 24, F8, 2, 17) (dual of [(24, 2), 28, 18]-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(8139, 58, F8, 3, 82) (dual of [(58, 3), 35, 83]-NRT-code) | [i] | OOA Folding | |