Information on Result #635645
Linear OA(4143, 212, F4, 61) (dual of [212, 69, 62]-code), using concatenation of two codes based on
- linear OA(6430, 53, F64, 30) (dual of [53, 23, 31]-code or 53-arc in PG(29,64)), using
- discarding factors / shortening the dual code based on linear OA(6430, 64, F64, 30) (dual of [64, 34, 31]-code or 64-arc in PG(29,64)), using
- Reed–Solomon code RS(34,64) [i]
- discarding factors / shortening the dual code based on linear OA(6430, 64, F64, 30) (dual of [64, 34, 31]-code or 64-arc in PG(29,64)), 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(4142, 211, F4, 60) (dual of [211, 69, 61]-code) | [i] | Truncation | |
| 2 | Linear OOA(4143, 106, F4, 2, 61) (dual of [(106, 2), 69, 62]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4143, 70, F4, 3, 61) (dual of [(70, 3), 67, 62]-NRT-code) | [i] | ||