Information on Result #632784
Linear OA(3168, 180, F3, 101) (dual of [180, 12, 102]-code), using concatenation of two codes based on
- linear OA(2716, 20, F27, 16) (dual of [20, 4, 17]-code or 20-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(3168, 180, F3, 100) (dual of [180, 12, 101]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3168, 180, F3, 99) (dual of [180, 12, 100]-code) | [i] | ||
| 3 | Linear OA(3169, 181, F3, 101) (dual of [181, 12, 102]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(3170, 182, F3, 101) (dual of [182, 12, 102]-code) | [i] | ||
| 5 | Linear OA(3167, 179, F3, 100) (dual of [179, 12, 101]-code) | [i] | Truncation | |
| 6 | Linear OA(3166, 178, F3, 99) (dual of [178, 12, 100]-code) | [i] | ||
| 7 | Linear OA(3165, 177, F3, 98) (dual of [177, 12, 99]-code) | [i] | ||
| 8 | Linear OA(3164, 176, F3, 97) (dual of [176, 12, 98]-code) | [i] | ||
| 9 | Linear OA(3163, 175, F3, 96) (dual of [175, 12, 97]-code) | [i] | ||
| 10 | Linear OA(3162, 174, F3, 95) (dual of [174, 12, 96]-code) | [i] | ||
| 11 | Linear OA(3161, 173, F3, 94) (dual of [173, 12, 95]-code) | [i] | ||
| 12 | Linear OA(3160, 172, F3, 93) (dual of [172, 12, 94]-code) | [i] | ||
| 13 | Linear OA(3158, 170, F3, 91) (dual of [170, 12, 92]-code) | [i] | ||
| 14 | Linear OA(3157, 169, F3, 90) (dual of [169, 12, 91]-code) | [i] | ||
| 15 | Linear OOA(3168, 90, F3, 2, 101) (dual of [(90, 2), 12, 102]-NRT-code) | [i] | OOA Folding | |
| 16 | Linear OOA(3168, 60, F3, 3, 101) (dual of [(60, 3), 12, 102]-NRT-code) | [i] | ||
| 17 | Linear OOA(3168, 36, F3, 5, 101) (dual of [(36, 5), 12, 102]-NRT-code) | [i] | ||