Information on Result #632751
Linear OA(3123, 135, F3, 71) (dual of [135, 12, 72]-code), using concatenation of two codes based on
- linear OA(2711, 15, F27, 11) (dual of [15, 4, 12]-code or 15-arc in PG(10,27)), using
- discarding factors / shortening the dual code based on linear OA(2711, 27, F27, 11) (dual of [27, 16, 12]-code or 27-arc in PG(10,27)), using
- Reed–Solomon code RS(16,27) [i]
- discarding factors / shortening the dual code based on linear OA(2711, 27, F27, 11) (dual of [27, 16, 12]-code or 27-arc in PG(10,27)), 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(3124, 136, F3, 71) (dual of [136, 12, 72]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3122, 134, F3, 70) (dual of [134, 12, 71]-code) | [i] | Truncation | |
| 3 | Linear OA(3121, 133, F3, 69) (dual of [133, 12, 70]-code) | [i] | ||
| 4 | Linear OOA(3123, 45, F3, 3, 71) (dual of [(45, 3), 12, 72]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(3123, 27, F3, 5, 71) (dual of [(27, 5), 12, 72]-NRT-code) | [i] | ||