Information on Result #674244

Linear OA(3234, 4783035, F3, 24) (dual of [4783035, 4782801, 25]-code), using construction X applied to C([0,12]) ⊂ C([0,9]) based on
  1. linear OA(3225, 4782970, F3, 25) (dual of [4782970, 4782745, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 4782970 | 328−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
  2. linear OA(3169, 4782970, F3, 19) (dual of [4782970, 4782801, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 4782970 | 328−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
  3. linear OA(39, 65, F3, 4) (dual of [65, 56, 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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(3239, 4783040, F3, 24) (dual of [4783040, 4782801, 25]-code) [i]Code Embedding in Larger Space
2Linear OA(3239, 4783041, F3, 24) (dual of [4783041, 4782802, 25]-code) [i]Construction X with VarÅ¡amov Bound
3Linear OOA(3234, 2391517, F3, 2, 24) (dual of [(2391517, 2), 4782800, 25]-NRT-code) [i]OOA Folding
4Linear OOA(3234, 1594345, F3, 3, 24) (dual of [(1594345, 3), 4782801, 25]-NRT-code) [i]
5Linear OOA(3234, 1195758, F3, 4, 24) (dual of [(1195758, 4), 4782798, 25]-NRT-code) [i]
6Linear OOA(3234, 956607, F3, 5, 24) (dual of [(956607, 5), 4782801, 25]-NRT-code) [i]
7Linear OOA(3234, 398586, F3, 24, 24) (dual of [(398586, 24), 9565830, 25]-NRT-code) [i]OA Folding and Stacking