Information on Result #1046810
Linear OOA(8171, 376, F81, 3, 45) (dual of [(376, 3), 1057, 46]-NRT-code), using construction X applied to AG(3;F,1061P) ⊂ AG(3;F,1072P) based on
- linear OOA(8161, 369, F81, 3, 45) (dual of [(369, 3), 1046, 46]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1061P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OOA(8150, 369, F81, 3, 34) (dual of [(369, 3), 1057, 35]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1072P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OOA(8110, 7, F81, 3, 10) (dual of [(7, 3), 11, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8110, 81, F81, 3, 10) (dual of [(81, 3), 233, 11]-NRT-code), using
- Reed–Solomon NRT-code RS(3;233,81) [i]
- discarding factors / shortening the dual code based on linear OOA(8110, 81, F81, 3, 10) (dual of [(81, 3), 233, 11]-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(8171, 376, F81, 3, 44) (dual of [(376, 3), 1057, 45]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(9142, 752, F9, 3, 45) (dual of [(752, 3), 2114, 46]-NRT-code) | [i] | Trace Code for OOAs | |