Information on Result #1833143
OOA(32108, 515, S32, 2, 59), using discarding parts of the base based on linear OOA(6490, 515, F64, 2, 59) (dual of [(515, 2), 940, 60]-NRT-code), using
- construction X applied to AG(2;F,964P) ⊂ AG(2;F,968P) [i] based on
- linear OOA(6487, 512, F64, 2, 59) (dual of [(512, 2), 937, 60]-NRT-code), using algebraic-geometric NRT-code AG(2;F,964P) [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513, using
- the Hermitian function field over F64 [i]
- linear OOA(6483, 512, F64, 2, 55) (dual of [(512, 2), 941, 56]-NRT-code), using algebraic-geometric NRT-code AG(2;F,968P) [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513 (see above)
- linear OOA(643, 3, F64, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(643, 64, F64, 2, 3) (dual of [(64, 2), 125, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;125,64) [i]
- discarding factors / shortening the dual code based on linear OOA(643, 64, F64, 2, 3) (dual of [(64, 2), 125, 4]-NRT-code), using
- linear OOA(6487, 512, F64, 2, 59) (dual of [(512, 2), 937, 60]-NRT-code), using algebraic-geometric NRT-code AG(2;F,964P) [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513, using
Mode: Constructive.
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(32110, 516, S32, 2, 59) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | OOA(32109, 515, S32, 2, 59) | [i] | OOA Duplication | |