Information on Result #1092242
Linear OOA(8156, 372, F81, 4, 34) (dual of [(372, 4), 1432, 35]-NRT-code), using construction X applied to AG(4;F,1441P) ⊂ AG(4;F,1448P) based on
- linear OOA(8150, 369, F81, 4, 34) (dual of [(369, 4), 1426, 35]-NRT-code), using algebraic-geometric NRT-code AG(4;F,1441P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OOA(8143, 369, F81, 4, 27) (dual of [(369, 4), 1433, 28]-NRT-code), using algebraic-geometric NRT-code AG(4;F,1448P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OOA(816, 3, F81, 4, 6) (dual of [(3, 4), 6, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(816, 81, F81, 4, 6) (dual of [(81, 4), 318, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(4;318,81) [i]
- discarding factors / shortening the dual code based on linear OOA(816, 81, F81, 4, 6) (dual of [(81, 4), 318, 7]-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(8156, 372, F81, 4, 33) (dual of [(372, 4), 1432, 34]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Digital (22, 56, 372)-net over F81 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |