Information on Result #627353
Linear OA(16123, 130, F16, 105) (dual of [130, 7, 106]-code), using repeating each code word 2 times based on linear OA(1658, 65, F16, 52) (dual of [65, 7, 53]-code), using
- extended algebraic-geometric code AGe(F,12P) [i] 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(16123, 130, F16, 104) (dual of [130, 7, 105]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(16130, 137, F16, 106) (dual of [137, 7, 107]-code) | [i] | Juxtaposition | |
| 3 | Linear OOA(16123, 65, F16, 2, 105) (dual of [(65, 2), 7, 106]-NRT-code) | [i] | OOA Folding | |