Information on Result #1092390
Linear OOA(8181, 378, F81, 4, 47) (dual of [(378, 4), 1431, 48]-NRT-code), using construction X applied to AG(4;F,1428P) ⊂ AG(4;F,1447P) based on
- linear OOA(8163, 369, F81, 4, 47) (dual of [(369, 4), 1413, 48]-NRT-code), using algebraic-geometric NRT-code AG(4;F,1428P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OOA(8144, 369, F81, 4, 28) (dual of [(369, 4), 1432, 29]-NRT-code), using algebraic-geometric NRT-code AG(4;F,1447P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OOA(8118, 9, F81, 4, 18) (dual of [(9, 4), 18, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8118, 81, F81, 4, 18) (dual of [(81, 4), 306, 19]-NRT-code), using
- Reed–Solomon NRT-code RS(4;306,81) [i]
- discarding factors / shortening the dual code based on linear OOA(8118, 81, F81, 4, 18) (dual of [(81, 4), 306, 19]-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(8181, 378, F81, 4, 46) (dual of [(378, 4), 1431, 47]-NRT-code) | [i] | Strength Reduction for OOAs | |