Information on Result #1027750
Linear OOA(8107, 37, F8, 3, 100) (dual of [(37, 3), 4, 101]-NRT-code), using juxtaposition based on
- linear OOA(835, 13, F8, 3, 34) (dual of [(13, 3), 4, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(835, 14, F8, 3, 34) (dual of [(14, 3), 7, 35]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,7P) [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(835, 14, F8, 3, 34) (dual of [(14, 3), 7, 35]-NRT-code), using
- linear OOA(868, 24, F8, 3, 65) (dual of [(24, 3), 4, 66]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,6P) [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(3;F,6P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, 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(8107, 37, F8, 3, 99) (dual of [(37, 3), 4, 100]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(8149, 51, F8, 3, 138) (dual of [(51, 3), 4, 139]-NRT-code) | [i] | Juxtaposition for OOAs | |