Information on Result #633469
Linear OA(3211, 355, F3, 71) (dual of [355, 144, 72]-code), using concatenation of two codes based on
- linear OA(8135, 71, F81, 35) (dual of [71, 36, 36]-code or 71-arc in PG(34,81)), using
- discarding factors / shortening the dual code based on linear OA(8135, 81, F81, 35) (dual of [81, 46, 36]-code or 81-arc in PG(34,81)), using
- Reed–Solomon code RS(46,81) [i]
- discarding factors / shortening the dual code based on linear OA(8135, 81, F81, 35) (dual of [81, 46, 36]-code or 81-arc in PG(34,81)), 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(3210, 354, F3, 70) (dual of [354, 144, 71]-code) | [i] | Truncation | |
| 2 | Linear OOA(3211, 177, F3, 2, 71) (dual of [(177, 2), 143, 72]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3211, 118, F3, 3, 71) (dual of [(118, 3), 143, 72]-NRT-code) | [i] | ||