Information on Result #686095

Linear OA(766, 74, F7, 47) (dual of [74, 8, 48]-code), using construction X applied to Ce(47) ⊂ Ce(32) based on
  1. linear OA(748, 49, F7, 48) (dual of [49, 1, 49]-code or 49-arc in PG(47,7)), using an extension Ce(47) of the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,47], and designed minimum distance d ≥ |I|+1 = 48 [i]
  2. linear OA(741, 49, F7, 33) (dual of [49, 8, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
  3. linear OA(718, 25, F7, 13) (dual of [25, 7, 14]-code), using
    • an extension Ce(12) of the narrow-sense BCH-code C(I) with length 24 | 72−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]

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

None.