Information on Result #936428
Linear OOA(6475, 192, F64, 2, 52) (dual of [(192, 2), 309, 53]-NRT-code), using construction X applied to AG(2;F,299P) ⊂ AG(2;F,316P) based on
- linear OOA(6459, 176, F64, 2, 52) (dual of [(176, 2), 293, 53]-NRT-code), using algebraic-geometric NRT-code AG(2;F,299P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OOA(6442, 176, F64, 2, 35) (dual of [(176, 2), 310, 36]-NRT-code), using algebraic-geometric NRT-code AG(2;F,316P) [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(8150, 384, F8, 2, 52) (dual of [(384, 2), 618, 53]-NRT-code) | [i] | Trace Code for OOAs | |
| 2 | Linear OOA(6475, 96, F64, 3, 52) (dual of [(96, 3), 213, 53]-NRT-code) | [i] | OOA Folding | |