Information on Result #632759

Linear OA(3159, 180, F3, 83) (dual of [180, 21, 84]-code), using concatenation of two codes based on
  1. linear OA(2713, 20, F27, 13) (dual of [20, 7, 14]-code or 20-arc in PG(12,27)), using
  2. 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:

ResultThis
result
only
Method
1Linear OA(3159, 180, F3, 82) (dual of [180, 21, 83]-code) [i]Strength Reduction
2Linear OA(3159, 180, F3, 81) (dual of [180, 21, 82]-code) [i]
3Linear OA(3159, 180, F3, 80) (dual of [180, 21, 81]-code) [i]
4Linear OA(3159, 180, F3, 79) (dual of [180, 21, 80]-code) [i]
5Linear OA(3160, 181, F3, 83) (dual of [181, 21, 84]-code) [i]Code Embedding in Larger Space
6Linear OA(3161, 182, F3, 83) (dual of [182, 21, 84]-code) [i]
7Linear OA(3158, 179, F3, 82) (dual of [179, 21, 83]-code) [i]Truncation
8Linear OA(3157, 178, F3, 81) (dual of [178, 21, 82]-code) [i]
9Linear OA(3156, 177, F3, 80) (dual of [177, 21, 81]-code) [i]
10Linear OA(3154, 175, F3, 78) (dual of [175, 21, 79]-code) [i]
11Linear OA(3153, 174, F3, 77) (dual of [174, 21, 78]-code) [i]
12Linear OA(3152, 173, F3, 76) (dual of [173, 21, 77]-code) [i]
13Linear OA(3151, 172, F3, 75) (dual of [172, 21, 76]-code) [i]
14Linear OA(3149, 170, F3, 73) (dual of [170, 21, 74]-code) [i]
15Linear OA(3148, 169, F3, 72) (dual of [169, 21, 73]-code) [i]
16Linear OA(3169, 194, F3, 83) (dual of [194, 25, 84]-code) [i]Construction X with VarÅ¡amov Bound
17Linear OOA(3159, 90, F3, 2, 83) (dual of [(90, 2), 21, 84]-NRT-code) [i]OOA Folding
18Linear OOA(3159, 60, F3, 3, 83) (dual of [(60, 3), 21, 84]-NRT-code) [i]
19Linear OOA(3159, 36, F3, 5, 83) (dual of [(36, 5), 21, 84]-NRT-code) [i]