Information on Result #639387
Linear OA(8151, 189, F8, 89) (dual of [189, 38, 90]-code), using concatenation of two codes based on
- linear OA(6444, 63, F64, 44) (dual of [63, 19, 45]-code or 63-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(8150, 188, F8, 88) (dual of [188, 38, 89]-code) | [i] | Truncation | |
| 2 | Linear OOA(8151, 94, F8, 2, 89) (dual of [(94, 2), 37, 90]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(8151, 63, F8, 3, 89) (dual of [(63, 3), 38, 90]-NRT-code) | [i] | ||