Information on Result #632759
Linear OA(3159, 180, F3, 83) (dual of [180, 21, 84]-code), using concatenation of two codes based on
- linear OA(2713, 20, F27, 13) (dual of [20, 7, 14]-code or 20-arc in PG(12,27)), using
- discarding factors / shortening the dual code based on linear OA(2713, 27, F27, 13) (dual of [27, 14, 14]-code or 27-arc in PG(12,27)), using
- Reed–Solomon code RS(14,27) [i]
- discarding factors / shortening the dual code based on linear OA(2713, 27, F27, 13) (dual of [27, 14, 14]-code or 27-arc in PG(12,27)), 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(3159, 180, F3, 82) (dual of [180, 21, 83]-code) | [i] | Strength Reduction | |
2 | Linear OA(3159, 180, F3, 81) (dual of [180, 21, 82]-code) | [i] | ||
3 | Linear OA(3159, 180, F3, 80) (dual of [180, 21, 81]-code) | [i] | ||
4 | Linear OA(3159, 180, F3, 79) (dual of [180, 21, 80]-code) | [i] | ||
5 | Linear OA(3160, 181, F3, 83) (dual of [181, 21, 84]-code) | [i] | Code Embedding in Larger Space | |
6 | Linear OA(3161, 182, F3, 83) (dual of [182, 21, 84]-code) | [i] | ||
7 | Linear OA(3158, 179, F3, 82) (dual of [179, 21, 83]-code) | [i] | Truncation | |
8 | Linear OA(3157, 178, F3, 81) (dual of [178, 21, 82]-code) | [i] | ||
9 | Linear OA(3156, 177, F3, 80) (dual of [177, 21, 81]-code) | [i] | ||
10 | Linear OA(3154, 175, F3, 78) (dual of [175, 21, 79]-code) | [i] | ||
11 | Linear OA(3153, 174, F3, 77) (dual of [174, 21, 78]-code) | [i] | ||
12 | Linear OA(3152, 173, F3, 76) (dual of [173, 21, 77]-code) | [i] | ||
13 | Linear OA(3151, 172, F3, 75) (dual of [172, 21, 76]-code) | [i] | ||
14 | Linear OA(3149, 170, F3, 73) (dual of [170, 21, 74]-code) | [i] | ||
15 | Linear OA(3148, 169, F3, 72) (dual of [169, 21, 73]-code) | [i] | ||
16 | Linear OA(3169, 194, F3, 83) (dual of [194, 25, 84]-code) | [i] | Construction X with Varšamov Bound | |
17 | Linear OOA(3159, 90, F3, 2, 83) (dual of [(90, 2), 21, 84]-NRT-code) | [i] | OOA Folding | |
18 | Linear OOA(3159, 60, F3, 3, 83) (dual of [(60, 3), 21, 84]-NRT-code) | [i] | ||
19 | Linear OOA(3159, 36, F3, 5, 83) (dual of [(36, 5), 21, 84]-NRT-code) | [i] |