Information on Result #652873
Linear OA(4950, 346, F49, 28) (dual of [346, 296, 29]-code), using construction X applied to AG(F,314P) ⊂ AG(F,316P) based on
- linear OA(4949, 343, F49, 28) (dual of [343, 294, 29]-code), using algebraic-geometric code AG(F,314P) [i] based on function field F/F49 with g(F) = 21 and N(F) ≥ 344, using
- the Hermitian function field over F49 [i]
- linear OA(4947, 343, F49, 26) (dual of [343, 296, 27]-code), using algebraic-geometric code AG(F,316P) [i] based on function field F/F49 with g(F) = 21 and N(F) ≥ 344 (see above)
- linear OA(491, 3, F49, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(491, s, F49, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(4951, 370, F49, 28) (dual of [370, 319, 29]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OOA(4950, 173, F49, 2, 28) (dual of [(173, 2), 296, 29]-NRT-code) | [i] | OOA Folding | |