Information on Result #637043
Linear OA(4257, 380, F4, 104) (dual of [380, 123, 105]-code), using concatenation of two codes based on
- linear OA(6435, 76, F64, 34) (dual of [76, 41, 35]-code), using
- discarding factors / shortening the dual code based on linear OA(6435, 79, F64, 34) (dual of [79, 44, 35]-code), using
- algebraic-geometric code AG(F,44P) [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(6435, 79, F64, 34) (dual of [79, 44, 35]-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]
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(4258, 381, F4, 104) (dual of [381, 123, 105]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4256, 379, F4, 103) (dual of [379, 123, 104]-code) | [i] | Truncation | |
| 3 | Linear OA(4255, 378, F4, 102) (dual of [378, 123, 103]-code) | [i] | ||
| 4 | Linear OOA(4257, 190, F4, 2, 104) (dual of [(190, 2), 123, 105]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(4257, 126, F4, 3, 104) (dual of [(126, 3), 121, 105]-NRT-code) | [i] | ||