Information on Result #1316110
Linear OA(8159, 447, F81, 34) (dual of [447, 388, 35]-code), using 67 step Varšamov–Edel lengthening with (ri) = (5, 0, 0, 1, 7 times 0, 1, 18 times 0, 1, 36 times 0) based on linear OA(8151, 372, F81, 34) (dual of [372, 321, 35]-code), using
- construction X applied to AG(F,334P) ⊂ AG(F,336P) [i] based on
- linear OA(8150, 369, F81, 34) (dual of [369, 319, 35]-code), using algebraic-geometric code AG(F,334P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OA(8148, 369, F81, 32) (dual of [369, 321, 33]-code), using algebraic-geometric code AG(F,336P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OA(811, 3, F81, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
Mode: 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(8159, 447, F81, 2, 34) (dual of [(447, 2), 835, 35]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8159, 447, F81, 3, 34) (dual of [(447, 3), 1282, 35]-NRT-code) | [i] | ||
| 3 | Linear OOA(8159, 447, F81, 4, 34) (dual of [(447, 4), 1729, 35]-NRT-code) | [i] | ||
| 4 | Digital (25, 59, 447)-net over F81 | [i] | ||