Information on Result #658726
Linear OA(1688, 118, F16, 53) (dual of [118, 30, 54]-code), using construction X applied to AG(F,10P) ⊂ AG(F,35P) based on
- linear OA(1658, 64, F16, 53) (dual of [64, 6, 54]-code), using algebraic-geometric code AG(F,10P) 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(1634, 64, F16, 28) (dual of [64, 30, 29]-code), using algebraic-geometric code AG(F,35P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(1630, 54, F16, 24) (dual of [54, 24, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(1630, 64, F16, 24) (dual of [64, 34, 25]-code), using
- algebraic-geometric code AG(F,39P) [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(1630, 64, F16, 24) (dual of [64, 34, 25]-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, 59, F16, 2, 53) (dual of [(59, 2), 30, 54]-NRT-code) | [i] | OOA Folding | |