Information on Result #1848155
OOA(12832, 324, S128, 2, 22), using discarding parts of the base based on linear OOA(25628, 324, F256, 2, 22) (dual of [(324, 2), 620, 23]-NRT-code), using
- construction X applied to AG(2;F,617P) ⊂ AG(2;F,622P) [i] based on
- linear OOA(25624, 320, F256, 2, 22) (dual of [(320, 2), 616, 23]-NRT-code), using algebraic-geometric NRT-code AG(2;F,617P) [i] based on function field F/F256 with g(F) = 2 and N(F) ≥ 321, using
- linear OOA(25619, 320, F256, 2, 17) (dual of [(320, 2), 621, 18]-NRT-code), using algebraic-geometric NRT-code AG(2;F,622P) [i] based on function field F/F256 with g(F) = 2 and N(F) ≥ 321 (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
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(12834, 325, S128, 2, 22) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | OOA(12833, 324, S128, 2, 22) | [i] | OOA Duplication | |