Information on Result #632690
Linear OA(3168, 192, F3, 84) (dual of [192, 24, 85]-code), using concatenation of two codes based on
- linear OA(2716, 24, F27, 16) (dual of [24, 8, 17]-code or 24-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(35, 8, F3, 4) (dual of [8, 3, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(35, 11, F3, 4) (dual of [11, 6, 5]-code), using
- Golay code G(3) [i]
- discarding factors / shortening the dual code based on linear OA(35, 11, F3, 4) (dual of [11, 6, 5]-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, 192, F3, 83) (dual of [192, 24, 84]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3168, 192, F3, 82) (dual of [192, 24, 83]-code) | [i] | ||
| 3 | Linear OA(3168, 192, F3, 81) (dual of [192, 24, 82]-code) | [i] | ||
| 4 | Linear OA(3167, 191, F3, 83) (dual of [191, 24, 84]-code) | [i] | Truncation | |
| 5 | Linear OA(3166, 190, F3, 82) (dual of [190, 24, 83]-code) | [i] | ||
| 6 | Linear OA(3164, 188, F3, 80) (dual of [188, 24, 81]-code) | [i] | ||
| 7 | Linear OA(3163, 187, F3, 79) (dual of [187, 24, 80]-code) | [i] | ||
| 8 | Linear OA(3162, 186, F3, 78) (dual of [186, 24, 79]-code) | [i] | ||
| 9 | Linear OA(3161, 185, F3, 77) (dual of [185, 24, 78]-code) | [i] | ||
| 10 | Linear OA(3159, 183, F3, 75) (dual of [183, 24, 76]-code) | [i] | ||
| 11 | Linear OA(3170, 195, F3, 84) (dual of [195, 25, 85]-code) | [i] | Construction X with Varšamov Bound | |
| 12 | Linear OA(3172, 198, F3, 84) (dual of [198, 26, 85]-code) | [i] | ||
| 13 | Linear OOA(3168, 96, F3, 2, 84) (dual of [(96, 2), 24, 85]-NRT-code) | [i] | OOA Folding | |
| 14 | Linear OOA(3168, 64, F3, 3, 84) (dual of [(64, 3), 24, 85]-NRT-code) | [i] | ||