Information on Result #640229
Linear OA(9132, 204, F9, 65) (dual of [204, 72, 66]-code), using concatenation of two codes based on
- linear OA(8132, 68, F81, 32) (dual of [68, 36, 33]-code or 68-arc in PG(31,81)), using
- discarding factors / shortening the dual code based on linear OA(8132, 81, F81, 32) (dual of [81, 49, 33]-code or 81-arc in PG(31,81)), using
- Reed–Solomon code RS(49,81) [i]
- discarding factors / shortening the dual code based on linear OA(8132, 81, F81, 32) (dual of [81, 49, 33]-code or 81-arc in PG(31,81)), using
- linear OA(91, 3, F9, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 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(9131, 203, F9, 64) (dual of [203, 72, 65]-code) | [i] | Truncation | |
| 2 | Linear OOA(9132, 102, F9, 2, 65) (dual of [(102, 2), 72, 66]-NRT-code) | [i] | OOA Folding | |