Information on Result #632785
Linear OA(3162, 171, F3, 101) (dual of [171, 9, 102]-code), using concatenation of two codes based on
- linear OA(2716, 19, F27, 16) (dual of [19, 3, 17]-code or 19-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(3162, 171, F3, 100) (dual of [171, 9, 101]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3162, 171, F3, 99) (dual of [171, 9, 100]-code) | [i] | ||
| 3 | Linear OA(3155, 164, F3, 94) (dual of [164, 9, 95]-code) | [i] | Truncation | |
| 4 | Linear OA(3154, 163, F3, 93) (dual of [163, 9, 94]-code) | [i] | ||
| 5 | Linear OOA(3162, 57, F3, 3, 101) (dual of [(57, 3), 9, 102]-NRT-code) | [i] | OOA Folding | |