Information on Result #2192869
Linear OA(3141, 162, F3, 69) (dual of [162, 21, 70]-code), using strength reduction based on linear OA(3141, 162, F3, 71) (dual of [162, 21, 72]-code), using
- concatenation of two codes [i] based on
- linear OA(2711, 18, F27, 11) (dual of [18, 7, 12]-code or 18-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
- linear OA(2711, 18, F27, 11) (dual of [18, 7, 12]-code or 18-arc in PG(10,27)), 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(3140, 161, F3, 68) (dual of [161, 21, 69]-code) | [i] | Truncation | |
| 2 | Linear OA(3138, 159, F3, 66) (dual of [159, 21, 67]-code) | [i] | ||
| 3 | Linear OOA(3141, 54, F3, 3, 69) (dual of [(54, 3), 21, 70]-NRT-code) | [i] | OOA Folding | |