Information on Result #2649605
Linear OOA(8152, 372, F81, 3, 31) (dual of [(372, 3), 1064, 32]-NRT-code), using strength reduction based on linear OOA(8152, 372, F81, 3, 32) (dual of [(372, 3), 1064, 33]-NRT-code), using
- construction X applied to AG(3;F,1074P) ⊂ AG(3;F,1079P) [i] based on
- linear OOA(8148, 369, F81, 3, 32) (dual of [(369, 3), 1059, 33]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1074P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OOA(8143, 369, F81, 3, 27) (dual of [(369, 3), 1064, 28]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1079P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (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(8152, 372, F81, 4, 31) (dual of [(372, 4), 1436, 32]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (21, 52, 372)-net over F81 | [i] | ||