Information on Result #655307
Linear OA(8172, 226, F81, 58) (dual of [226, 154, 59]-code), using construction X applied to AG(F,164P) ⊂ AG(F,166P) based on
- linear OA(8171, 223, F81, 58) (dual of [223, 152, 59]-code), using algebraic-geometric code AG(F,164P) [i] based on function field F/F81 with g(F) = 13 and N(F) ≥ 224, using
- linear OA(8169, 223, F81, 56) (dual of [223, 154, 57]-code), using algebraic-geometric code AG(F,166P) [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 OA(9144, 452, F9, 58) (dual of [452, 308, 59]-code) | [i] | Trace Code | |
| 2 | OA(2796, 226, S27, 58) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OOA(8172, 113, F81, 2, 58) (dual of [(113, 2), 154, 59]-NRT-code) | [i] | OOA Folding | |