Information on Result #2670645
Linear OOA(2234, 214, F2, 3, 53) (dual of [(214, 3), 408, 54]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(2231, 213, F2, 3, 53) (dual of [(213, 3), 408, 54]-NRT-code), using
- trace code [i] based on linear OOA(877, 71, F8, 3, 53) (dual of [(71, 3), 136, 54]-NRT-code), using
- construction X applied to AG(3;F,138P) ⊂ AG(3;F,149P) [i] based on
- linear OOA(867, 64, F8, 3, 53) (dual of [(64, 3), 125, 54]-NRT-code), using algebraic-geometric NRT-code AG(3;F,138P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- the Suzuki function field over F8 [i]
- linear OOA(856, 64, F8, 3, 42) (dual of [(64, 3), 136, 43]-NRT-code), using algebraic-geometric NRT-code AG(3;F,149P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(810, 7, F8, 3, 10) (dual of [(7, 3), 11, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(810, 8, F8, 3, 10) (dual of [(8, 3), 14, 11]-NRT-code), using
- Reed–Solomon NRT-code RS(3;14,8) [i]
- discarding factors / shortening the dual code based on linear OOA(810, 8, F8, 3, 10) (dual of [(8, 3), 14, 11]-NRT-code), using
- linear OOA(867, 64, F8, 3, 53) (dual of [(64, 3), 125, 54]-NRT-code), using algebraic-geometric NRT-code AG(3;F,138P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- construction X applied to AG(3;F,138P) ⊂ AG(3;F,149P) [i] based on
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(2235, 214, F2, 3, 53) (dual of [(214, 3), 407, 54]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2234, 107, F2, 6, 53) (dual of [(107, 6), 408, 54]-NRT-code) | [i] | OOA Folding | |