Information on Result #633680
Linear OA(3232, 340, F3, 83) (dual of [340, 108, 84]-code), using concatenation of two codes based on
- linear OA(8141, 68, F81, 41) (dual of [68, 27, 42]-code or 68-arc in PG(40,81)), using
- discarding factors / shortening the dual code based on linear OA(8141, 81, F81, 41) (dual of [81, 40, 42]-code or 81-arc in PG(40,81)), using
- Reed–Solomon code RS(40,81) [i]
- discarding factors / shortening the dual code based on linear OA(8141, 81, F81, 41) (dual of [81, 40, 42]-code or 81-arc in PG(40,81)), 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(3231, 339, F3, 82) (dual of [339, 108, 83]-code) | [i] | Truncation | |
| 2 | Linear OOA(3232, 170, F3, 2, 83) (dual of [(170, 2), 108, 84]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3232, 113, F3, 3, 83) (dual of [(113, 3), 107, 84]-NRT-code) | [i] | ||