Information on Result #662678

Linear OA(591, 96, F5, 71) (dual of [96, 5, 72]-code), using generalized (u, u+v)-construction based on
  1. linear OA(520, 24, F5, 17) (dual of [24, 4, 18]-code), using
    • the primitive narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
  2. linear OA(523, 24, F5, 23) (dual of [24, 1, 24]-code or 24-arc in PG(22,5)), using
  3. linear OA(524, 24, F5, 24) (dual of [24, 0, 25]-code or 24-arc in PG(23,5)), using
  4. linear OA(524, 24, F5, 24) (dual of [24, 0, 25]-code or 24-arc in PG(23,5)) (see above)

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(591, 48, F5, 2, 71) (dual of [(48, 2), 5, 72]-NRT-code) [i]OOA Folding
2Linear OOA(591, 32, F5, 3, 71) (dual of [(32, 3), 5, 72]-NRT-code) [i]