Information on Result #660734
Linear OA(9120, 452, F9, 46) (dual of [452, 332, 47]-code), using trace code based on linear OA(8160, 226, F81, 46) (dual of [226, 166, 47]-code), using
- construction X applied to AG(F,176P) ⊂ AG(F,178P) [i] based on
- linear OA(8159, 223, F81, 46) (dual of [223, 164, 47]-code), using algebraic-geometric code AG(F,176P) [i] based on function field F/F81 with g(F) = 13 and N(F) ≥ 224, using
- linear OA(8157, 223, F81, 44) (dual of [223, 166, 45]-code), using algebraic-geometric code AG(F,178P) [i] based on function field F/F81 with g(F) = 13 and N(F) ≥ 224 (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: 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(9120, 226, F9, 2, 46) (dual of [(226, 2), 332, 47]-NRT-code) | [i] | OOA Folding | |