Information on Result #924345
Linear OOA(8117, 110, F8, 2, 67) (dual of [(110, 2), 103, 68]-NRT-code), using construction X applied to AG(2;F,126P) ⊂ AG(2;F,139P) based on
- linear OOA(8104, 97, F8, 2, 67) (dual of [(97, 2), 90, 68]-NRT-code), using algebraic-geometric NRT-code AG(2;F,126P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98, using
- linear OOA(891, 97, F8, 2, 54) (dual of [(97, 2), 103, 55]-NRT-code), using algebraic-geometric NRT-code AG(2;F,139P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98 (see above)
- linear OOA(813, 13, F8, 2, 12) (dual of [(13, 2), 13, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(813, 14, F8, 2, 12) (dual of [(14, 2), 15, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,15P) [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(813, 14, F8, 2, 12) (dual of [(14, 2), 15, 13]-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(8117, 55, F8, 3, 67) (dual of [(55, 3), 48, 68]-NRT-code) | [i] | OOA Folding | |