Information on Result #2250625
Linear OA(8167, 179, F8, 123) (dual of [179, 12, 124]-code), using 1 times truncation based on linear OA(8168, 180, F8, 124) (dual of [180, 12, 125]-code), using
- concatenation of two codes [i] based on
- linear OA(6424, 30, F64, 24) (dual of [30, 6, 25]-code or 30-arc in PG(23,64)), using
- discarding factors / shortening the dual code based on linear OA(6424, 64, F64, 24) (dual of [64, 40, 25]-code or 64-arc in PG(23,64)), using
- Reed–Solomon code RS(40,64) [i]
- discarding factors / shortening the dual code based on linear OA(6424, 64, F64, 24) (dual of [64, 40, 25]-code or 64-arc in PG(23,64)), using
- linear OA(84, 6, F8, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,8)), using
- discarding factors / shortening the dual code based on linear OA(84, 8, F8, 4) (dual of [8, 4, 5]-code or 8-arc in PG(3,8)), using
- Reed–Solomon code RS(4,8) [i]
- discarding factors / shortening the dual code based on linear OA(84, 8, F8, 4) (dual of [8, 4, 5]-code or 8-arc in PG(3,8)), using
- linear OA(6424, 30, F64, 24) (dual of [30, 6, 25]-code or 30-arc in PG(23,64)), 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(8167, 89, F8, 2, 123) (dual of [(89, 2), 11, 124]-NRT-code) | [i] | OOA Folding | |