Information on Result #635688
Linear OA(4170, 308, F4, 61) (dual of [308, 138, 62]-code), using concatenation of two codes based on
- linear OA(6431, 77, F64, 30) (dual of [77, 46, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(6431, 79, F64, 30) (dual of [79, 48, 31]-code), using
- algebraic-geometric code AG(F,48P) [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(6431, 79, F64, 30) (dual of [79, 48, 31]-code), using
- linear OA(41, 4, F4, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 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(4169, 307, F4, 60) (dual of [307, 138, 61]-code) | [i] | Truncation | |
| 2 | Linear OOA(4170, 154, F4, 2, 61) (dual of [(154, 2), 138, 62]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4170, 102, F4, 3, 61) (dual of [(102, 3), 136, 62]-NRT-code) | [i] | ||