Information on Result #937092
Linear OOA(8148, 373, F81, 2, 28) (dual of [(373, 2), 698, 29]-NRT-code), using construction X applied to AG(2;F,709P) ⊂ AG(2;F,714P) based on
- linear OOA(8144, 369, F81, 2, 28) (dual of [(369, 2), 694, 29]-NRT-code), using algebraic-geometric NRT-code AG(2;F,709P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OOA(8139, 369, F81, 2, 23) (dual of [(369, 2), 699, 24]-NRT-code), using algebraic-geometric NRT-code AG(2;F,714P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OOA(814, 4, F81, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(814, 81, F81, 2, 4) (dual of [(81, 2), 158, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(2;158,81) [i]
- discarding factors / shortening the dual code based on linear OOA(814, 81, F81, 2, 4) (dual of [(81, 2), 158, 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(8148, 373, F81, 3, 28) (dual of [(373, 3), 1071, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8148, 373, F81, 4, 28) (dual of [(373, 4), 1444, 29]-NRT-code) | [i] | ||
| 3 | Digital (20, 48, 373)-net over F81 | [i] | ||