Information on Result #635372
Linear OA(4123, 228, F4, 45) (dual of [228, 105, 46]-code), using concatenation of two codes based on
- linear OA(6422, 57, F64, 22) (dual of [57, 35, 23]-code or 57-arc in PG(21,64)), using
- discarding factors / shortening the dual code based on linear OA(6422, 64, F64, 22) (dual of [64, 42, 23]-code or 64-arc in PG(21,64)), using
- Reed–Solomon code RS(42,64) [i]
- discarding factors / shortening the dual code based on linear OA(6422, 64, F64, 22) (dual of [64, 42, 23]-code or 64-arc in PG(21,64)), 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(4122, 227, F4, 44) (dual of [227, 105, 45]-code) | [i] | Truncation | |
| 2 | Linear OOA(4123, 114, F4, 2, 45) (dual of [(114, 2), 105, 46]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4123, 76, F4, 3, 45) (dual of [(76, 3), 105, 46]-NRT-code) | [i] | ||