Information on Result #675296

Linear OA(3242, 6579, F3, 45) (dual of [6579, 6337, 46]-code), using construction X applied to C([0,22]) ⊂ C([0,21]) based on
  1. linear OA(3241, 6562, F3, 45) (dual of [6562, 6321, 46]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,22], and minimum distance d ≥ |{−22,−21,…,22}|+1 = 46 (BCH-bound) [i]
  2. linear OA(3225, 6562, F3, 43) (dual of [6562, 6337, 44]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,21], and minimum distance d ≥ |{−21,−20,…,21}|+1 = 44 (BCH-bound) [i]
  3. linear OA(31, 17, F3, 1) (dual of [17, 16, 2]-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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(3243, 6580, F3, 45) (dual of [6580, 6337, 46]-code) [i]Code Embedding in Larger Space
2Linear OA(3244, 6581, F3, 45) (dual of [6581, 6337, 46]-code) [i]
3Linear OOA(3242, 3945, F3, 2, 45) (dual of [(3945, 2), 7648, 46]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
4Linear OOA(3242, 3945, F3, 3, 45) (dual of [(3945, 3), 11593, 46]-NRT-code) [i]
5Linear OOA(3242, 3945, F3, 4, 45) (dual of [(3945, 4), 15538, 46]-NRT-code) [i]
6Linear OOA(3242, 3945, F3, 5, 45) (dual of [(3945, 5), 19483, 46]-NRT-code) [i]
7Digital (197, 242, 3945)-net over F3 [i]
8Linear OOA(3242, 3289, F3, 2, 45) (dual of [(3289, 2), 6336, 46]-NRT-code) [i]OOA Folding
9Linear OOA(3242, 2193, F3, 3, 45) (dual of [(2193, 3), 6337, 46]-NRT-code) [i]
10Linear OOA(3242, 1644, F3, 4, 45) (dual of [(1644, 4), 6334, 46]-NRT-code) [i]
11Linear OOA(3242, 1315, F3, 5, 45) (dual of [(1315, 5), 6333, 46]-NRT-code) [i]