Information on Result #940615
Linear OOA(8158, 384, F8, 2, 56) (dual of [(384, 2), 610, 57]-NRT-code), using trace code based on linear OOA(6479, 192, F64, 2, 56) (dual of [(192, 2), 305, 57]-NRT-code), using
- construction X applied to AG(2;F,295P) ⊂ AG(2;F,312P) [i] based on
- linear OOA(6463, 176, F64, 2, 56) (dual of [(176, 2), 289, 57]-NRT-code), using algebraic-geometric NRT-code AG(2;F,295P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OOA(6446, 176, F64, 2, 39) (dual of [(176, 2), 306, 40]-NRT-code), using algebraic-geometric NRT-code AG(2;F,312P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OOA(6416, 16, F64, 2, 16) (dual of [(16, 2), 16, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6416, 64, F64, 2, 16) (dual of [(64, 2), 112, 17]-NRT-code), using
- Reed–Solomon NRT-code RS(2;112,64) [i]
- discarding factors / shortening the dual code based on linear OOA(6416, 64, F64, 2, 16) (dual of [(64, 2), 112, 17]-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(8159, 384, F8, 2, 56) (dual of [(384, 2), 609, 57]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(8158, 192, F8, 3, 56) (dual of [(192, 3), 418, 57]-NRT-code) | [i] | OOA Folding | |