Information on Result #655472
Linear OA(8163, 372, F81, 46) (dual of [372, 309, 47]-code), using construction X applied to AG(F,322P) ⊂ AG(F,324P) based on
- linear OA(8162, 369, F81, 46) (dual of [369, 307, 47]-code), using algebraic-geometric code AG(F,322P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OA(8160, 369, F81, 44) (dual of [369, 309, 45]-code), using algebraic-geometric code AG(F,324P) [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: 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 OA(9126, 744, F9, 46) (dual of [744, 618, 47]-code) | [i] | Trace Code | |
| 2 | OA(2784, 372, S27, 46) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OOA(8163, 186, F81, 2, 46) (dual of [(186, 2), 309, 47]-NRT-code) | [i] | OOA Folding | |