Information on Result #1848340
OOA(12872, 516, S128, 2, 51), using discarding parts of the base based on linear OOA(25663, 516, F256, 2, 51) (dual of [(516, 2), 969, 52]-NRT-code), using
- construction X applied to AG(2;F,972P) ⊂ AG(2;F,977P) [i] based on
- linear OOA(25659, 512, F256, 2, 51) (dual of [(512, 2), 965, 52]-NRT-code), using algebraic-geometric NRT-code AG(2;F,972P) [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(25654, 512, F256, 2, 46) (dual of [(512, 2), 970, 47]-NRT-code), using algebraic-geometric NRT-code AG(2;F,977P) [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(25659, 512, F256, 2, 51) (dual of [(512, 2), 965, 52]-NRT-code), using algebraic-geometric NRT-code AG(2;F,972P) [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, 517, S128, 2, 51) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | OOA(12873, 516, S128, 2, 51) | [i] | OOA Duplication | |