Information on Result #935829
Linear OOA(6478, 180, F64, 2, 67) (dual of [(180, 2), 282, 68]-NRT-code), using construction X applied to AG(2;F,284P) ⊂ AG(2;F,289P) based on
- linear OOA(6474, 176, F64, 2, 67) (dual of [(176, 2), 278, 68]-NRT-code), using algebraic-geometric NRT-code AG(2;F,284P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OOA(6469, 176, F64, 2, 62) (dual of [(176, 2), 283, 63]-NRT-code), using algebraic-geometric NRT-code AG(2;F,289P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OOA(644, 4, F64, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(644, 64, F64, 2, 4) (dual of [(64, 2), 124, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(2;124,64) [i]
- discarding factors / shortening the dual code based on linear OOA(644, 64, F64, 2, 4) (dual of [(64, 2), 124, 5]-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(4234, 540, F4, 2, 67) (dual of [(540, 2), 846, 68]-NRT-code) | [i] | Trace Code for OOAs | |
| 2 | Linear OOA(8156, 360, F8, 2, 67) (dual of [(360, 2), 564, 68]-NRT-code) | [i] | ||
| 3 | OOA(3294, 180, S32, 2, 67) | [i] | Discarding Parts of the Base for OOAs | |
| 4 | Linear OOA(6478, 90, F64, 3, 67) (dual of [(90, 3), 192, 68]-NRT-code) | [i] | OOA Folding | |