Information on Result #1321336
Linear OA(3162, 199, F3, 75) (dual of [199, 37, 76]-code), using construction X with Varšamov bound based on
- linear OA(3159, 195, F3, 75) (dual of [195, 36, 76]-code), using
- a “GraQC†code from Grassl’s database [i]
- linear OA(3159, 196, F3, 72) (dual of [196, 37, 73]-code), using Gilbert–Varšamov bound and bm = 3159 > Vbs−1(k−1) = 6650 495647 977649 918779 784650 937391 524692 584987 488080 253145 974869 787709 459739 [i]
- linear OA(32, 3, F3, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,3)), using
- dual of repetition code with length 3 [i]
- Reed–Solomon code RS(1,3) [i]
Mode: 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(3163, 200, F3, 75) (dual of [200, 37, 76]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3160, 197, F3, 73) (dual of [197, 37, 74]-code) | [i] | Truncation | |