Information on Result #639590
Linear OA(890, 108, F8, 56) (dual of [108, 18, 57]-code), using concatenation of two codes based on
- linear OA(6418, 27, F64, 18) (dual of [27, 9, 19]-code or 27-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(82, 4, F8, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,8)), using
- discarding factors / shortening the dual code based on linear OA(82, 8, F8, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,8)), using
- Reed–Solomon code RS(6,8) [i]
- discarding factors / shortening the dual code based on linear OA(82, 8, F8, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,8)), 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(889, 107, F8, 55) (dual of [107, 18, 56]-code) | [i] | Truncation | |
| 2 | Linear OA(888, 106, F8, 54) (dual of [106, 18, 55]-code) | [i] | ||
| 3 | Linear OOA(890, 54, F8, 2, 56) (dual of [(54, 2), 18, 57]-NRT-code) | [i] | OOA Folding | |