Information on Result #633330
Linear OA(3203, 375, F3, 65) (dual of [375, 172, 66]-code), using concatenation of two codes based on
- linear OA(8132, 75, F81, 32) (dual of [75, 43, 33]-code or 75-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(31, 5, F3, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 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(3202, 374, F3, 64) (dual of [374, 172, 65]-code) | [i] | Truncation | |
| 2 | Linear OOA(3203, 187, F3, 2, 65) (dual of [(187, 2), 171, 66]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3203, 125, F3, 3, 65) (dual of [(125, 3), 172, 66]-NRT-code) | [i] | ||