Information on Result #940613
Linear OOA(8158, 1032, F8, 2, 47) (dual of [(1032, 2), 1906, 48]-NRT-code), using trace code based on linear OOA(6479, 516, F64, 2, 47) (dual of [(516, 2), 953, 48]-NRT-code), using
- construction X applied to AG(2;F,976P) ⊂ AG(2;F,981P) [i] 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(6470, 512, F64, 2, 42) (dual of [(512, 2), 954, 43]-NRT-code), using algebraic-geometric NRT-code AG(2;F,981P) [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513 (see above)
- linear OOA(644, 4, F64, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(644, 64, F64, 2, 4) (dual of [(64, 2), 124, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(2;124,64) [i]
- discarding factors / shortening the dual code based on linear OOA(644, 64, F64, 2, 4) (dual of [(64, 2), 124, 5]-NRT-code), using
- 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
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(8159, 1032, F8, 2, 47) (dual of [(1032, 2), 1905, 48]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(8158, 516, F8, 3, 47) (dual of [(516, 3), 1390, 48]-NRT-code) | [i] | OOA Folding | |