Information on Result #1848251
OOA(12856, 516, S128, 2, 37), using discarding parts of the base based on linear OOA(25649, 516, F256, 2, 37) (dual of [(516, 2), 983, 38]-NRT-code), using
- construction X applied to AG(2;F,986P) ⊂ AG(2;F,991P) [i] based on
- linear OOA(25645, 512, F256, 2, 37) (dual of [(512, 2), 979, 38]-NRT-code), using algebraic-geometric NRT-code AG(2;F,986P) [i] based on function field F/F256 with g(F) = 8 and N(F) ≥ 513, using
- K1,1 from the tower of function fields by Niederreiter and Xing based on the tower by GarcÃa and Stichtenoth over F256 [i]
- linear OOA(25640, 512, F256, 2, 32) (dual of [(512, 2), 984, 33]-NRT-code), using algebraic-geometric NRT-code AG(2;F,991P) [i] based on function field F/F256 with g(F) = 8 and N(F) ≥ 513 (see above)
- linear OOA(2564, 4, F256, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2564, 256, F256, 2, 4) (dual of [(256, 2), 508, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(2;508,256) [i]
- discarding factors / shortening the dual code based on linear OOA(2564, 256, F256, 2, 4) (dual of [(256, 2), 508, 5]-NRT-code), using
- linear OOA(25645, 512, F256, 2, 37) (dual of [(512, 2), 979, 38]-NRT-code), using algebraic-geometric NRT-code AG(2;F,986P) [i] based on function field F/F256 with g(F) = 8 and N(F) ≥ 513, using
Mode: Arbitrary.
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 | OOA(12858, 517, S128, 2, 37) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | OOA(12857, 516, S128, 2, 37) | [i] | OOA Duplication | |