Information on Result #2213385
Linear OA(8118, 136, F8, 76) (dual of [136, 18, 77]-code), using strength reduction based on linear OA(8118, 136, F8, 77) (dual of [136, 18, 78]-code), using
- concatenation of two codes [i] based on
- linear OA(6425, 34, F64, 25) (dual of [34, 9, 26]-code or 34-arc in PG(24,64)), using
- discarding factors / shortening the dual code based on linear OA(6425, 64, F64, 25) (dual of [64, 39, 26]-code or 64-arc in PG(24,64)), using
- Reed–Solomon code RS(39,64) [i]
- discarding factors / shortening the dual code based on linear OA(6425, 64, F64, 25) (dual of [64, 39, 26]-code or 64-arc in PG(24,64)), 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
- linear OA(6425, 34, F64, 25) (dual of [34, 9, 26]-code or 34-arc in PG(24,64)), 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(8118, 68, F8, 2, 76) (dual of [(68, 2), 18, 77]-NRT-code) | [i] | OOA Folding | |