Information on Result #635547
Linear OA(4137, 224, F4, 55) (dual of [224, 87, 56]-code), using concatenation of two codes based on
- linear OA(6427, 56, F64, 27) (dual of [56, 29, 28]-code or 56-arc in PG(26,64)), using
- discarding factors / shortening the dual code based on linear OA(6427, 64, F64, 27) (dual of [64, 37, 28]-code or 64-arc in PG(26,64)), using
- Reed–Solomon code RS(37,64) [i]
- discarding factors / shortening the dual code based on linear OA(6427, 64, F64, 27) (dual of [64, 37, 28]-code or 64-arc in PG(26,64)), 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(4136, 223, F4, 54) (dual of [223, 87, 55]-code) | [i] | Truncation | |
| 2 | Linear OOA(4137, 112, F4, 2, 55) (dual of [(112, 2), 87, 56]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4137, 74, F4, 3, 55) (dual of [(74, 3), 85, 56]-NRT-code) | [i] | ||