Information on Result #939308
Linear OOA(4166, 160, F4, 2, 61) (dual of [(160, 2), 154, 62]-NRT-code), using trace code based on linear OOA(1683, 80, F16, 2, 61) (dual of [(80, 2), 77, 62]-NRT-code), using
- construction X applied to AG(2;F,66P) ⊂ AG(2;F,83P) [i] based on
- linear OOA(1667, 64, F16, 2, 61) (dual of [(64, 2), 61, 62]-NRT-code), using algebraic-geometric NRT-code AG(2;F,66P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- linear OOA(1650, 64, F16, 2, 44) (dual of [(64, 2), 78, 45]-NRT-code), using algebraic-geometric NRT-code AG(2;F,83P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OOA(1616, 16, F16, 2, 16) (dual of [(16, 2), 16, 17]-NRT-code), using
- Reed–Solomon NRT-code RS(2;16,16) [i]
- linear OOA(1667, 64, F16, 2, 61) (dual of [(64, 2), 61, 62]-NRT-code), using algebraic-geometric NRT-code AG(2;F,66P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, 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(4167, 160, F4, 2, 61) (dual of [(160, 2), 153, 62]-NRT-code) | [i] | OOA Duplication | |