Information on Result #675771

Linear OA(3145, 2198, F3, 31) (dual of [2198, 2053, 32]-code), using construction X applied to C([0,15]) ⊂ C([0,13]) based on
  1. linear OA(3141, 2188, F3, 31) (dual of [2188, 2047, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
  2. linear OA(3127, 2188, F3, 27) (dual of [2188, 2061, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
  3. linear OA(34, 10, F3, 3) (dual of [10, 6, 4]-code or 10-cap in PG(3,3)), 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 OOA(3145, 1339, F3, 2, 31) (dual of [(1339, 2), 2533, 32]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3145, 1339, F3, 3, 31) (dual of [(1339, 3), 3872, 32]-NRT-code) [i]
3Linear OOA(3145, 1339, F3, 4, 31) (dual of [(1339, 4), 5211, 32]-NRT-code) [i]
4Linear OOA(3145, 1339, F3, 5, 31) (dual of [(1339, 5), 6550, 32]-NRT-code) [i]
5Digital (114, 145, 1339)-net over F3 [i]