Information on Result #2214208
Linear OA(8150, 162, F8, 107) (dual of [162, 12, 108]-code), using strength reduction based on linear OA(8150, 162, F8, 109) (dual of [162, 12, 110]-code), using
- concatenation of two codes [i] based on
- linear OA(6421, 27, F64, 21) (dual of [27, 6, 22]-code or 27-arc in PG(20,64)), using
- discarding factors / shortening the dual code based on linear OA(6421, 64, F64, 21) (dual of [64, 43, 22]-code or 64-arc in PG(20,64)), using
- Reed–Solomon code RS(43,64) [i]
- discarding factors / shortening the dual code based on linear OA(6421, 64, F64, 21) (dual of [64, 43, 22]-code or 64-arc in PG(20,64)), 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(6421, 27, F64, 21) (dual of [27, 6, 22]-code or 27-arc in PG(20,64)), 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(8150, 54, F8, 3, 107) (dual of [(54, 3), 12, 108]-NRT-code) | [i] | OOA Folding | |