Information on Result #936761
Linear OOA(6489, 526, F64, 2, 47) (dual of [(526, 2), 963, 48]-NRT-code), using construction X applied to AG(2;F,976P) ⊂ AG(2;F,991P) based on
- linear OOA(6475, 512, F64, 2, 47) (dual of [(512, 2), 949, 48]-NRT-code), using algebraic-geometric NRT-code AG(2;F,976P) [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(6460, 512, F64, 2, 32) (dual of [(512, 2), 964, 33]-NRT-code), using algebraic-geometric NRT-code AG(2;F,991P) [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513 (see above)
- linear OOA(6414, 14, F64, 2, 14) (dual of [(14, 2), 14, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6414, 64, F64, 2, 14) (dual of [(64, 2), 114, 15]-NRT-code), using
- Reed–Solomon NRT-code RS(2;114,64) [i]
- discarding factors / shortening the dual code based on linear OOA(6414, 64, F64, 2, 14) (dual of [(64, 2), 114, 15]-NRT-code), using
Mode: Constructive and linear.
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 | Linear OOA(6489, 263, F64, 3, 47) (dual of [(263, 3), 700, 48]-NRT-code) | [i] | OOA Folding | |