Information on Result #658702
Linear OA(1686, 109, F16, 57) (dual of [109, 23, 58]-code), using construction X applied to AG(F,5P) ⊂ AG(F,28P) 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(1641, 64, F16, 35) (dual of [64, 23, 36]-code), using algebraic-geometric code AG(F,28P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(1625, 45, F16, 21) (dual of [45, 20, 22]-code), using
- extended algebraic-geometric code AGe(F,23P) [i] based on function field F/F16 with g(F) = 4 and N(F) ≥ 45, 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(1685, 108, F16, 56) (dual of [108, 23, 57]-code) | [i] | Truncation | |
| 2 | Linear OOA(1686, 54, F16, 2, 57) (dual of [(54, 2), 22, 58]-NRT-code) | [i] | OOA Folding | |