Information on Result #645436
Linear OA(1686, 112, F16, 54) (dual of [112, 26, 55]-code), using construction X applied to AG(F,9P) ⊂ AG(F,31P) based on
- linear OA(1660, 64, F16, 54) (dual of [64, 4, 55]-code), using algebraic-geometric code AG(F,9P) [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(1626, 48, F16, 21) (dual of [48, 22, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(1626, 49, F16, 21) (dual of [49, 23, 22]-code), using
- extended algebraic-geometric code AGe(F,27P) [i] based on function field F/F16 with g(F) = 5 and N(F) ≥ 49, using
- discarding factors / shortening the dual code based on linear OA(1626, 49, F16, 21) (dual of [49, 23, 22]-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(1686, 56, F16, 2, 54) (dual of [(56, 2), 26, 55]-NRT-code) | [i] | OOA Folding | |