Information on Result #2275781
Linear OA(4257, 356, F4, 113) (dual of [356, 99, 114]-code), using 1 times code embedding in larger space based on linear OA(4256, 355, F4, 113) (dual of [355, 99, 114]-code), using
- concatenation of two codes [i] based on
- linear OA(6438, 71, F64, 37) (dual of [71, 33, 38]-code), using
- discarding factors / shortening the dual code based on linear OA(6438, 79, F64, 37) (dual of [79, 41, 38]-code), using
- algebraic-geometric code AG(F,41P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- discarding factors / shortening the dual code based on linear OA(6438, 79, F64, 37) (dual of [79, 41, 38]-code), using
- linear OA(42, 5, F4, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,4)), using
- extended Reed–Solomon code RSe(3,4) [i]
- Hamming code H(2,4) [i]
- linear OA(6438, 71, F64, 37) (dual of [71, 33, 38]-code), 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 OOA(4257, 178, F4, 2, 113) (dual of [(178, 2), 99, 114]-NRT-code) | [i] | OOA Folding | |