Information on Result #1315691
Linear OA(4955, 406, F49, 30) (dual of [406, 351, 31]-code), using 58 step Varšamov–Edel lengthening with (ri) = (2, 0, 1, 14 times 0, 1, 40 times 0) based on linear OA(4951, 344, F49, 30) (dual of [344, 293, 31]-code), using
- extended algebraic-geometric code AGe(F,313P) [i] based on function field F/F49 with g(F) = 21 and N(F) ≥ 344, using
- the Hermitian function field over F49 [i]
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 OOA(4955, 406, F49, 2, 30) (dual of [(406, 2), 757, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4955, 406, F49, 3, 30) (dual of [(406, 3), 1163, 31]-NRT-code) | [i] | ||
| 3 | Digital (25, 55, 406)-net over F49 | [i] | ||