Information on Result #632781
Linear OA(3186, 207, F3, 101) (dual of [207, 21, 102]-code), using concatenation of two codes based on
- linear OA(2716, 23, F27, 16) (dual of [23, 7, 17]-code or 23-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(3186, 207, F3, 100) (dual of [207, 21, 101]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3186, 207, F3, 99) (dual of [207, 21, 100]-code) | [i] | ||
| 3 | Linear OA(3186, 207, F3, 98) (dual of [207, 21, 99]-code) | [i] | ||
| 4 | Linear OA(3186, 207, F3, 97) (dual of [207, 21, 98]-code) | [i] | ||
| 5 | Linear OA(3187, 208, F3, 101) (dual of [208, 21, 102]-code) | [i] | Code Embedding in Larger Space | |
| 6 | Linear OA(3188, 209, F3, 101) (dual of [209, 21, 102]-code) | [i] | ||
| 7 | Linear OA(3185, 206, F3, 100) (dual of [206, 21, 101]-code) | [i] | Truncation | |
| 8 | Linear OA(3184, 205, F3, 99) (dual of [205, 21, 100]-code) | [i] | ||
| 9 | Linear OA(3183, 204, F3, 98) (dual of [204, 21, 99]-code) | [i] | ||
| 10 | Linear OA(3182, 203, F3, 97) (dual of [203, 21, 98]-code) | [i] | ||
| 11 | Linear OA(3181, 202, F3, 96) (dual of [202, 21, 97]-code) | [i] | ||
| 12 | Linear OA(3180, 201, F3, 95) (dual of [201, 21, 96]-code) | [i] | ||
| 13 | Linear OA(3178, 199, F3, 93) (dual of [199, 21, 94]-code) | [i] | ||
| 14 | Linear OA(3176, 197, F3, 91) (dual of [197, 21, 92]-code) | [i] | ||
| 15 | Linear OA(3175, 196, F3, 90) (dual of [196, 21, 91]-code) | [i] | ||
| 16 | Linear OOA(3186, 103, F3, 2, 101) (dual of [(103, 2), 20, 102]-NRT-code) | [i] | OOA Folding | |
| 17 | Linear OOA(3186, 69, F3, 3, 101) (dual of [(69, 3), 21, 102]-NRT-code) | [i] | ||
| 18 | Linear OOA(3186, 41, F3, 5, 101) (dual of [(41, 5), 19, 102]-NRT-code) | [i] | ||