Information on Result #638962
Linear OA(8102, 126, F8, 61) (dual of [126, 24, 62]-code), using concatenation of two codes based on
- linear OA(6430, 42, F64, 30) (dual of [42, 12, 31]-code or 42-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(81, 3, F8, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 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(8101, 125, F8, 60) (dual of [125, 24, 61]-code) | [i] | Truncation | |
| 2 | Linear OOA(8102, 63, F8, 2, 61) (dual of [(63, 2), 24, 62]-NRT-code) | [i] | OOA Folding | |