Information on Result #940222
Linear OOA(852, 358, F8, 2, 16) (dual of [(358, 2), 664, 17]-NRT-code), using trace code based on linear OOA(6426, 179, F64, 2, 16) (dual of [(179, 2), 332, 17]-NRT-code), using
- construction X applied to AG(2;F,335P) ⊂ AG(2;F,339P) [i] based on
- linear OOA(6423, 176, F64, 2, 16) (dual of [(176, 2), 329, 17]-NRT-code), using algebraic-geometric NRT-code AG(2;F,335P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OOA(6419, 176, F64, 2, 12) (dual of [(176, 2), 333, 13]-NRT-code), using algebraic-geometric NRT-code AG(2;F,339P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OOA(643, 3, F64, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(643, 64, F64, 2, 3) (dual of [(64, 2), 125, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;125,64) [i]
- discarding factors / shortening the dual code based on linear OOA(643, 64, F64, 2, 3) (dual of [(64, 2), 125, 4]-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(853, 358, F8, 2, 16) (dual of [(358, 2), 663, 17]-NRT-code) | [i] | OOA Duplication | |