Information on Result #940756
Linear OOA(8172, 386, F8, 2, 62) (dual of [(386, 2), 600, 63]-NRT-code), using trace code based on linear OOA(6486, 193, F64, 2, 62) (dual of [(193, 2), 300, 63]-NRT-code), using
- construction X applied to AG(2;F,289P) ⊂ AG(2;F,307P) [i] based on
- 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, using
- linear OOA(6451, 176, F64, 2, 44) (dual of [(176, 2), 301, 45]-NRT-code), using algebraic-geometric NRT-code AG(2;F,307P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OOA(6417, 17, F64, 2, 17) (dual of [(17, 2), 17, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6417, 64, F64, 2, 17) (dual of [(64, 2), 111, 18]-NRT-code), using
- Reed–Solomon NRT-code RS(2;111,64) [i]
- discarding factors / shortening the dual code based on linear OOA(6417, 64, F64, 2, 17) (dual of [(64, 2), 111, 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(8173, 386, F8, 2, 62) (dual of [(386, 2), 599, 63]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(8172, 193, F8, 3, 62) (dual of [(193, 3), 407, 63]-NRT-code) | [i] | OOA Folding | |