Information on Result #638680
Linear OA(872, 108, F8, 37) (dual of [108, 36, 38]-code), using concatenation of two codes based on
- linear OA(6418, 36, F64, 18) (dual of [36, 18, 19]-code or 36-arc in PG(17,64)), using
- discarding factors / shortening the dual code based on linear OA(6418, 64, F64, 18) (dual of [64, 46, 19]-code or 64-arc in PG(17,64)), using
- Reed–Solomon code RS(46,64) [i]
- discarding factors / shortening the dual code based on linear OA(6418, 64, F64, 18) (dual of [64, 46, 19]-code or 64-arc in PG(17,64)), 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(871, 107, F8, 36) (dual of [107, 36, 37]-code) | [i] | Truncation | |
| 2 | Linear OOA(872, 54, F8, 2, 37) (dual of [(54, 2), 36, 38]-NRT-code) | [i] | OOA Folding | |