Information on Result #642105
Linear OA(1698, 110, F16, 77) (dual of [110, 12, 78]-code), using juxtaposition based on
- linear OA(1633, 45, F16, 29) (dual of [45, 12, 30]-code), using
- extended algebraic-geometric code AGe(F,15P) [i] based on function field F/F16 with g(F) = 4 and N(F) ≥ 45, using
- linear OA(1653, 65, F16, 47) (dual of [65, 12, 48]-code), using
- extended algebraic-geometric code AGe(F,17P) [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,17P) [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(1698, 110, F16, 76) (dual of [110, 12, 77]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(1692, 104, F16, 71) (dual of [104, 12, 72]-code) | [i] | Truncation | |
| 3 | Linear OOA(1698, 55, F16, 2, 77) (dual of [(55, 2), 12, 78]-NRT-code) | [i] | OOA Folding | |