Information on Result #737706

Linear OA(5149, 168, F5, 91) (dual of [168, 19, 92]-code), using construction X applied to C([0,85]) ⊂ C([0,80]) based on
  1. linear OA(5141, 156, F5, 93) (dual of [156, 15, 94]-code), using the expurgated narrow-sense BCH-code C(I) with length 156 | 54−1, defining interval I = [0,85], and minimum distance d ≥ |{−7,−6,…,85}|+1 = 94 (BCH-bound) [i]
  2. linear OA(5137, 156, F5, 83) (dual of [156, 19, 84]-code), using the expurgated narrow-sense BCH-code C(I) with length 156 | 54−1, defining interval I = [0,80], and minimum distance d ≥ |{−2,−1,…,80}|+1 = 84 (BCH-bound) [i]
  3. linear OA(58, 12, F5, 7) (dual of [12, 4, 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 OA(5149, 168, F5, 90) (dual of [168, 19, 91]-code) [i]Strength Reduction
2Linear OA(5148, 167, F5, 90) (dual of [167, 19, 91]-code) [i]Truncation
3Linear OA(5146, 165, F5, 88) (dual of [165, 19, 89]-code) [i]
4Linear OA(5145, 164, F5, 87) (dual of [164, 19, 88]-code) [i]
5Linear OOA(5149, 84, F5, 2, 91) (dual of [(84, 2), 19, 92]-NRT-code) [i]OOA Folding
6Linear OOA(5149, 56, F5, 3, 91) (dual of [(56, 3), 19, 92]-NRT-code) [i]