Information on Result #1848338
OOA(12872, 518, S128, 2, 49), using discarding parts of the base based on linear OOA(25663, 518, F256, 2, 49) (dual of [(518, 2), 973, 50]-NRT-code), using
- construction X applied to AG(2;F,974P) ⊂ AG(2;F,981P) [i] based on
- linear OOA(25657, 512, F256, 2, 49) (dual of [(512, 2), 967, 50]-NRT-code), using algebraic-geometric NRT-code AG(2;F,974P) [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(25650, 512, F256, 2, 42) (dual of [(512, 2), 974, 43]-NRT-code), using algebraic-geometric NRT-code AG(2;F,981P) [i] based on function field F/F256 with g(F) = 8 and N(F) ≥ 513 (see above)
- linear OOA(2566, 6, F256, 2, 6) (dual of [(6, 2), 6, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2566, 256, F256, 2, 6) (dual of [(256, 2), 506, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(2;506,256) [i]
- discarding factors / shortening the dual code based on linear OOA(2566, 256, F256, 2, 6) (dual of [(256, 2), 506, 7]-NRT-code), using
- linear OOA(25657, 512, F256, 2, 49) (dual of [(512, 2), 967, 50]-NRT-code), using algebraic-geometric NRT-code AG(2;F,974P) [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(12874, 519, S128, 2, 49) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | OOA(12873, 518, S128, 2, 49) | [i] | OOA Duplication | |