Information on Result #1301323

Linear OA(548, 15650, F5, 9) (dual of [15650, 15602, 10]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(546, 15646, F5, 9) (dual of [15646, 15600, 10]-code), using
    • construction X applied to Ce(8) ⊂ Ce(5) [i] based on
      1. linear OA(543, 15625, F5, 9) (dual of [15625, 15582, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
      2. linear OA(525, 15625, F5, 6) (dual of [15625, 15600, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
      3. linear OA(53, 21, F5, 2) (dual of [21, 18, 3]-code), using
  2. linear OA(546, 15648, F5, 8) (dual of [15648, 15602, 9]-code), using Gilbert–VarÅ¡amov bound and bm = 546 > Vbs−1(k−1) = 745542 871622 002647 864826 311245 [i]
  3. linear OA(50, 2, F5, 0) (dual of [2, 2, 1]-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 OOA(548, 15650, F5, 2, 9) (dual of [(15650, 2), 31252, 10]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(548, 15650, F5, 3, 9) (dual of [(15650, 3), 46902, 10]-NRT-code) [i]
3Digital (39, 48, 15650)-net over F5 [i]