Information on Result #639621
Linear OA(8106, 124, F8, 68) (dual of [124, 18, 69]-code), using concatenation of two codes based on
- linear OA(6422, 31, F64, 22) (dual of [31, 9, 23]-code or 31-arc in PG(21,64)), using
- discarding factors / shortening the dual code based on linear OA(6422, 64, F64, 22) (dual of [64, 42, 23]-code or 64-arc in PG(21,64)), using
- Reed–Solomon code RS(42,64) [i]
- discarding factors / shortening the dual code based on linear OA(6422, 64, F64, 22) (dual of [64, 42, 23]-code or 64-arc in PG(21,64)), 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(8106, 124, F8, 67) (dual of [124, 18, 68]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(8105, 123, F8, 67) (dual of [123, 18, 68]-code) | [i] | Truncation | |
| 3 | Linear OA(8104, 122, F8, 66) (dual of [122, 18, 67]-code) | [i] | ||
| 4 | Linear OA(8103, 121, F8, 65) (dual of [121, 18, 66]-code) | [i] | ||
| 5 | Linear OA(8101, 119, F8, 63) (dual of [119, 18, 64]-code) | [i] | ||
| 6 | Linear OOA(8106, 62, F8, 2, 68) (dual of [(62, 2), 18, 69]-NRT-code) | [i] | OOA Folding | |