Information on Result #632782
Linear OA(3180, 198, F3, 101) (dual of [198, 18, 102]-code), using concatenation of two codes based on
- linear OA(2716, 22, F27, 16) (dual of [22, 6, 17]-code or 22-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 OA(36, 9, F3, 5) (dual of [9, 3, 6]-code), 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3180, 198, F3, 100) (dual of [198, 18, 101]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3180, 198, F3, 99) (dual of [198, 18, 100]-code) | [i] | ||
| 3 | Linear OA(3181, 199, F3, 101) (dual of [199, 18, 102]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(3182, 200, F3, 101) (dual of [200, 18, 102]-code) | [i] | ||
| 5 | Linear OA(3179, 197, F3, 100) (dual of [197, 18, 101]-code) | [i] | Truncation | |
| 6 | Linear OA(3178, 196, F3, 99) (dual of [196, 18, 100]-code) | [i] | ||
| 7 | Linear OOA(3180, 99, F3, 2, 101) (dual of [(99, 2), 18, 102]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(3180, 66, F3, 3, 101) (dual of [(66, 3), 18, 102]-NRT-code) | [i] | ||