Information on Result #658706
Linear OA(1690, 113, F16, 59) (dual of [113, 23, 60]-code), using construction X applied to AG(F,4P) ⊂ AG(F,28P) based on
- linear OA(1662, 64, F16, 59) (dual of [64, 2, 60]-code), using algebraic-geometric code AG(F,4P) 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(1628, 49, F16, 23) (dual of [49, 21, 24]-code), using
- extended algebraic-geometric code AGe(F,25P) [i] based on function field F/F16 with g(F) = 5 and N(F) ≥ 49, 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(1691, 114, F16, 59) (dual of [114, 23, 60]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(1690, 56, F16, 2, 59) (dual of [(56, 2), 22, 60]-NRT-code) | [i] | OOA Folding | |