Information on Result #912436
Linear OOA(3120, 72, F3, 2, 67) (dual of [(72, 2), 24, 68]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(2716, 24, F27, 16) (dual of [24, 8, 17]-code or 24-arc in PG(15,27)), using
- discarding factors / shortening the dual code based on linear OA(2716, 27, F27, 16) (dual of [27, 11, 17]-code or 27-arc in PG(15,27)), using
- Reed–Solomon code RS(11,27) [i]
- discarding factors / shortening the dual code based on linear OA(2716, 27, F27, 16) (dual of [27, 11, 17]-code or 27-arc in PG(15,27)), using
- linear OOA(33, 3, F3, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;3,3) [i]
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 OOA(3120, 72, F3, 2, 66) (dual of [(72, 2), 24, 67]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3119, 71, F3, 2, 66) (dual of [(71, 2), 23, 67]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(3120, 36, F3, 4, 67) (dual of [(36, 4), 24, 68]-NRT-code) | [i] | OOA Folding | |