Information on Result #1323798

Linear OA(5138, 145, F5, 106) (dual of [145, 7, 107]-code), using construction X applied to Ce(123) ⊂ Ce(93) based on
  1. linear OA(5124, 125, F5, 124) (dual of [125, 1, 125]-code or 125-arc in PG(123,5)), using an extension Ce(123) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,123], and designed minimum distance d ≥ |I|+1 = 124 [i]
  2. linear OA(5118, 125, F5, 94) (dual of [125, 7, 95]-code), using an extension Ce(93) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,93], and designed minimum distance d ≥ |I|+1 = 94 [i]
  3. linear OA(514, 20, F5, 11) (dual of [20, 6, 12]-code), using

Mode: 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(5137, 144, F5, 105) (dual of [144, 7, 106]-code) [i]Truncation