Information on Result #639389
Linear OA(8149, 183, F8, 89) (dual of [183, 34, 90]-code), using concatenation of two codes based on
- linear OA(6444, 61, F64, 44) (dual of [61, 17, 45]-code or 61-arc in PG(43,64)), using
- discarding factors / shortening the dual code based on linear OA(6444, 64, F64, 44) (dual of [64, 20, 45]-code or 64-arc in PG(43,64)), using
- Reed–Solomon code RS(20,64) [i]
- discarding factors / shortening the dual code based on linear OA(6444, 64, F64, 44) (dual of [64, 20, 45]-code or 64-arc in PG(43,64)), using
- linear OA(81, 3, F8, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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 OA(8148, 182, F8, 88) (dual of [182, 34, 89]-code) | [i] | Truncation | |
| 2 | Linear OOA(8149, 91, F8, 2, 89) (dual of [(91, 2), 33, 90]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(8149, 61, F8, 3, 89) (dual of [(61, 3), 34, 90]-NRT-code) | [i] | ||