Information on Result #635417
Linear OA(4112, 172, F4, 47) (dual of [172, 60, 48]-code), using concatenation of two codes based on
- linear OA(6423, 43, F64, 23) (dual of [43, 20, 24]-code or 43-arc in PG(22,64)), using
- discarding factors / shortening the dual code based on linear OA(6423, 64, F64, 23) (dual of [64, 41, 24]-code or 64-arc in PG(22,64)), using
- Reed–Solomon code RS(41,64) [i]
- discarding factors / shortening the dual code based on linear OA(6423, 64, F64, 23) (dual of [64, 41, 24]-code or 64-arc in PG(22,64)), 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(4111, 171, F4, 46) (dual of [171, 60, 47]-code) | [i] | Truncation | |
| 2 | Linear OOA(4112, 86, F4, 2, 47) (dual of [(86, 2), 60, 48]-NRT-code) | [i] | OOA Folding | |