Information on Result #1032036
Linear OOA(493, 35, F4, 3, 74) (dual of [(35, 3), 12, 75]-NRT-code), using construction X applied to AG(3;F,21P) ⊂ AG(3;F,26P) based on
- linear OOA(489, 32, F4, 3, 74) (dual of [(32, 3), 7, 75]-NRT-code), using algebraic-geometric NRT-code AG(3;F,21P) [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33, using
- linear OOA(484, 32, F4, 3, 69) (dual of [(32, 3), 12, 70]-NRT-code), using algebraic-geometric NRT-code AG(3;F,26P) [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33 (see above)
- linear OOA(44, 3, F4, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(44, 4, F4, 3, 4) (dual of [(4, 3), 8, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(3;8,4) [i]
- discarding factors / shortening the dual code based on linear OOA(44, 4, F4, 3, 4) (dual of [(4, 3), 8, 5]-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(493, 35, F4, 3, 73) (dual of [(35, 3), 12, 74]-NRT-code) | [i] | Strength Reduction for OOAs | |