Information on Result #644798
Linear OA(1616, 64, F16, 10) (dual of [64, 48, 11]-code), using algebraic-geometric code AG(F,53P) based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
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(1619, 67, F16, 12) (dual of [67, 48, 13]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 2 | Linear OA(1617, 67, F16, 10) (dual of [67, 50, 11]-code) | [i] | ✔ | |
| 3 | Linear OA(1621, 69, F16, 13) (dual of [69, 48, 14]-code) | [i] | ✔ | |
| 4 | Linear OA(1623, 71, F16, 14) (dual of [71, 48, 15]-code) | [i] | ✔ | |
| 5 | Linear OA(1625, 73, F16, 15) (dual of [73, 48, 16]-code) | [i] | ✔ | |
| 6 | Linear OA(1627, 75, F16, 16) (dual of [75, 48, 17]-code) | [i] | ✔ | |
| 7 | Linear OOA(1616, 32, F16, 2, 10) (dual of [(32, 2), 48, 11]-NRT-code) | [i] | OOA Folding | |