Information on Result #637122
Linear OA(4250, 340, F4, 113) (dual of [340, 90, 114]-code), using concatenation of two codes based on
- linear OA(6438, 68, F64, 37) (dual of [68, 30, 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]
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(4250, 340, F4, 112) (dual of [340, 90, 113]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4251, 341, F4, 113) (dual of [341, 90, 114]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(4249, 339, F4, 112) (dual of [339, 90, 113]-code) | [i] | Truncation | |
| 4 | Linear OA(4248, 338, F4, 111) (dual of [338, 90, 112]-code) | [i] | ||
| 5 | Linear OOA(4250, 170, F4, 2, 113) (dual of [(170, 2), 90, 114]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(4250, 113, F4, 3, 113) (dual of [(113, 3), 89, 114]-NRT-code) | [i] | ||