Information on Result #684392

Linear OA(544, 76, F5, 20) (dual of [76, 32, 21]-code), using construction X applied to Ce(20) ⊂ Ce(15) based on
  1. linear OA(540, 63, F5, 21) (dual of [63, 23, 22]-code), using an extension Ce(20) of the narrow-sense BCH-code C(I) with length 62 | 53−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
  2. linear OA(531, 63, F5, 16) (dual of [63, 32, 17]-code), using an extension Ce(15) of the narrow-sense BCH-code C(I) with length 62 | 53−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
  3. linear OA(54, 13, F5, 3) (dual of [13, 9, 4]-code or 13-cap in PG(3,5)), 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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OOA(544, 38, F5, 2, 20) (dual of [(38, 2), 32, 21]-NRT-code) [i]OOA Folding