Information on Result #1092393
Linear OOA(8178, 378, F81, 4, 44) (dual of [(378, 4), 1434, 45]-NRT-code), using construction X applied to AG(4;F,1431P) ⊂ AG(4;F,1450P) based on
- linear OOA(8160, 369, F81, 4, 44) (dual of [(369, 4), 1416, 45]-NRT-code), using algebraic-geometric NRT-code AG(4;F,1431P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OOA(8141, 369, F81, 4, 25) (dual of [(369, 4), 1435, 26]-NRT-code), using algebraic-geometric NRT-code AG(4;F,1450P) [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(8178, 378, F81, 4, 43) (dual of [(378, 4), 1434, 44]-NRT-code) | [i] | Strength Reduction for OOAs | |