Information on Result #661673
Linear OA(16110, 132, F16, 76) (dual of [132, 22, 77]-code), using juxtaposition based on
- linear OA(1643, 65, F16, 37) (dual of [65, 22, 38]-code), using
- extended algebraic-geometric code AGe(F,27P) [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,27P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- linear OA(1645, 67, F16, 38) (dual of [67, 22, 39]-code), using
- construction X applied to AG(F,25P) ⊂ AG(F,27P) [i] based on
- linear OA(1644, 64, F16, 38) (dual of [64, 20, 39]-code), using algebraic-geometric code AG(F,25P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(1642, 64, F16, 36) (dual of [64, 22, 37]-code), using algebraic-geometric code AG(F,27P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(161, 3, F16, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(161, s, F16, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,25P) ⊂ AG(F,27P) [i] based on
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(16110, 132, F16, 75) (dual of [132, 22, 76]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(16109, 131, F16, 75) (dual of [131, 22, 76]-code) | [i] | Truncation | |
| 3 | Linear OOA(16110, 66, F16, 2, 76) (dual of [(66, 2), 22, 77]-NRT-code) | [i] | OOA Folding | |