Information on Result #645398
Linear OA(1681, 107, F16, 52) (dual of [107, 26, 53]-code), using construction X applied to AG(F,11P) ⊂ AG(F,31P) based on
- linear OA(1658, 64, F16, 52) (dual of [64, 6, 53]-code), using algebraic-geometric code AG(F,11P) [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(1638, 64, F16, 32) (dual of [64, 26, 33]-code), using algebraic-geometric code AG(F,31P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(1623, 43, F16, 19) (dual of [43, 20, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(1623, 45, F16, 19) (dual of [45, 22, 20]-code), using
- extended algebraic-geometric code AGe(F,25P) [i] based on function field F/F16 with g(F) = 4 and N(F) ≥ 45, using
- discarding factors / shortening the dual code based on linear OA(1623, 45, F16, 19) (dual of [45, 22, 20]-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(1681, 53, F16, 2, 52) (dual of [(53, 2), 25, 53]-NRT-code) | [i] | OOA Folding | |