Information on Result #658728
Linear OA(1694, 122, F16, 58) (dual of [122, 28, 59]-code), using construction X applied to AG(F,5P) ⊂ AG(F,33P) based on
- linear OA(1661, 64, F16, 58) (dual of [64, 3, 59]-code), using algebraic-geometric code AG(F,5P) with known gap numbers [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using the Hermitian function field over F16 [i]
- linear OA(1636, 64, F16, 30) (dual of [64, 28, 31]-code), using algebraic-geometric code AG(F,33P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(1633, 58, F16, 27) (dual of [58, 25, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(1633, 64, F16, 27) (dual of [64, 31, 28]-code), using
- algebraic-geometric code AG(F,36P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- discarding factors / shortening the dual code based on linear OA(1633, 64, F16, 27) (dual of [64, 31, 28]-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 OA(1693, 121, F16, 57) (dual of [121, 28, 58]-code) | [i] | Truncation | |
| 2 | Linear OA(1692, 120, F16, 56) (dual of [120, 28, 57]-code) | [i] | ||
| 3 | Linear OOA(1694, 61, F16, 2, 58) (dual of [(61, 2), 28, 59]-NRT-code) | [i] | OOA Folding | |