Information on Result #635987
Linear OA(4215, 404, F4, 71) (dual of [404, 189, 72]-code), using concatenation of two codes based on
- linear OA(6438, 101, F64, 35) (dual of [101, 63, 36]-code), using
- discarding factors / shortening the dual code based on linear OA(6438, 103, F64, 35) (dual of [103, 65, 36]-code), using
- algebraic-geometric code AG(F,67P) [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(6438, 103, F64, 35) (dual of [103, 65, 36]-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(4214, 403, F4, 70) (dual of [403, 189, 71]-code) | [i] | Truncation | |
| 2 | Linear OOA(4215, 202, F4, 2, 71) (dual of [(202, 2), 189, 72]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4215, 134, F4, 3, 71) (dual of [(134, 3), 187, 72]-NRT-code) | [i] | ||