Information on Result #1046576
Linear OOA(8151, 174, F81, 3, 40) (dual of [(174, 3), 471, 41]-NRT-code), using construction X applied to AG(3;F,472P) ⊂ AG(3;F,477P) based on
- linear OOA(8147, 171, F81, 3, 40) (dual of [(171, 3), 466, 41]-NRT-code), using algebraic-geometric NRT-code AG(3;F,472P) [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172, using
- linear OOA(8142, 171, F81, 3, 35) (dual of [(171, 3), 471, 36]-NRT-code), using algebraic-geometric NRT-code AG(3;F,477P) [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172 (see above)
- linear OOA(814, 3, F81, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(814, 81, F81, 3, 4) (dual of [(81, 3), 239, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(3;239,81) [i]
- discarding factors / shortening the dual code based on linear OOA(814, 81, F81, 3, 4) (dual of [(81, 3), 239, 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(8151, 174, F81, 3, 39) (dual of [(174, 3), 471, 40]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(9102, 348, F9, 3, 40) (dual of [(348, 3), 942, 41]-NRT-code) | [i] | Trace Code for OOAs | |