Information on Result #636334
Linear OA(4241, 400, F4, 89) (dual of [400, 159, 90]-code), using concatenation of two codes based on
- linear OA(6447, 100, F64, 44) (dual of [100, 53, 45]-code), using
- discarding factors / shortening the dual code based on linear OA(6447, 103, F64, 44) (dual of [103, 56, 45]-code), using
- algebraic-geometric code AG(F,58P) [i] based on function field F/F64 with g(F) = 3 and N(F) ≥ 104, using
- discarding factors / shortening the dual code based on linear OA(6447, 103, F64, 44) (dual of [103, 56, 45]-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(4240, 399, F4, 88) (dual of [399, 159, 89]-code) | [i] | Truncation | |
| 2 | Linear OOA(4241, 200, F4, 2, 89) (dual of [(200, 2), 159, 90]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4241, 133, F4, 3, 89) (dual of [(133, 3), 158, 90]-NRT-code) | [i] | ||