Information on Result #658720
Linear OA(1688, 116, F16, 54) (dual of [116, 28, 55]-code), using construction X applied to AG(F,9P) ⊂ AG(F,33P) based on
- linear OA(1659, 64, F16, 54) (dual of [64, 5, 55]-code), using algebraic-geometric code AG(F,9P) 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(1629, 52, F16, 23) (dual of [52, 23, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(1629, 64, F16, 23) (dual of [64, 35, 24]-code), using
- algebraic-geometric code AG(F,40P) [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(1629, 64, F16, 23) (dual of [64, 35, 24]-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 OOA(1688, 58, F16, 2, 54) (dual of [(58, 2), 28, 55]-NRT-code) | [i] | OOA Folding | |