Information on Result #639000
Linear OA(8124, 180, F8, 65) (dual of [180, 56, 66]-code), using concatenation of two codes based on
- linear OA(6432, 60, F64, 32) (dual of [60, 28, 33]-code or 60-arc in PG(31,64)), using
- discarding factors / shortening the dual code based on linear OA(6432, 64, F64, 32) (dual of [64, 32, 33]-code or 64-arc in PG(31,64)), using
- Reed–Solomon code RS(32,64) [i]
- discarding factors / shortening the dual code based on linear OA(6432, 64, F64, 32) (dual of [64, 32, 33]-code or 64-arc in PG(31,64)), 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(8123, 179, F8, 64) (dual of [179, 56, 65]-code) | [i] | Truncation | |
| 2 | Linear OOA(8124, 90, F8, 2, 65) (dual of [(90, 2), 56, 66]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(8124, 60, F8, 3, 65) (dual of [(60, 3), 56, 66]-NRT-code) | [i] | ||