Information on Result #930520
Linear OOA(1689, 88, F16, 2, 59) (dual of [(88, 2), 87, 60]-NRT-code), using construction X applied to AG(2;F,68P) ⊂ AG(2;F,92P) based on
- linear OOA(1665, 64, F16, 2, 59) (dual of [(64, 2), 63, 60]-NRT-code), using algebraic-geometric NRT-code AG(2;F,68P) [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(1641, 64, F16, 2, 35) (dual of [(64, 2), 87, 36]-NRT-code), using algebraic-geometric NRT-code AG(2;F,92P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OOA(1624, 24, F16, 2, 23) (dual of [(24, 2), 24, 24]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,24P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, 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(1689, 88, F16, 2, 58) (dual of [(88, 2), 87, 59]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(1691, 89, F16, 2, 59) (dual of [(89, 2), 87, 60]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |