Information on Result #1289321
Linear OA(1636, 99, F16, 22) (dual of [99, 63, 23]-code), using construction X applied to AG(F,73P) ⊂ AG(F,75P) based on
- linear OA(1635, 96, F16, 22) (dual of [96, 61, 23]-code), using algebraic-geometric code AG(F,73P) [i] based on function field F/F16 with g(F) = 13 and N(F) ≥ 97, using
- linear OA(1633, 96, F16, 20) (dual of [96, 63, 21]-code), using algebraic-geometric code AG(F,75P) [i] based on function field F/F16 with g(F) = 13 and N(F) ≥ 97 (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
Mode: 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(1638, 104, F16, 22) (dual of [104, 66, 23]-code) | [i] | Varšamov–Edel Lengthening | |