Information on Result #737607

Linear OA(5132, 3159, F5, 31) (dual of [3159, 3027, 32]-code), using construction X applied to C([0,15]) ⊂ C([0,11]) based on
  1. linear OA(5121, 3126, F5, 31) (dual of [3126, 3005, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
  2. linear OA(591, 3126, F5, 23) (dual of [3126, 3035, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
  3. linear OA(511, 33, F5, 7) (dual of [33, 22, 8]-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 OOA(5132, 1053, F5, 3, 31) (dual of [(1053, 3), 3027, 32]-NRT-code) [i]OOA Folding