Information on Result #642021
Linear OA(1688, 103, F16, 65) (dual of [103, 15, 66]-code), using juxtaposition based on
- linear OA(1623, 38, F16, 20) (dual of [38, 15, 21]-code), using
- extended algebraic-geometric code AGe(F,17P) [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, using
- linear OA(1650, 65, F16, 44) (dual of [65, 15, 45]-code), using
- extended algebraic-geometric code AGe(F,20P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- extended algebraic-geometric code AGe(F,20P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, 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(1688, 103, F16, 64) (dual of [103, 15, 65]-code) | [i] | Strength Reduction | |
| 2 | Linear OOA(1688, 51, F16, 2, 65) (dual of [(51, 2), 14, 66]-NRT-code) | [i] | OOA Folding | |