Information on Result #635337
Linear OA(4105, 180, F4, 41) (dual of [180, 75, 42]-code), using concatenation of two codes based on
- linear OA(6420, 45, F64, 20) (dual of [45, 25, 21]-code or 45-arc in PG(19,64)), using
- discarding factors / shortening the dual code based on linear OA(6420, 64, F64, 20) (dual of [64, 44, 21]-code or 64-arc in PG(19,64)), using
- Reed–Solomon code RS(44,64) [i]
- discarding factors / shortening the dual code based on linear OA(6420, 64, F64, 20) (dual of [64, 44, 21]-code or 64-arc in PG(19,64)), 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4104, 179, F4, 40) (dual of [179, 75, 41]-code) | [i] | Truncation | |
| 2 | Linear OOA(4105, 90, F4, 2, 41) (dual of [(90, 2), 75, 42]-NRT-code) | [i] | OOA Folding | |