Information on Result #737764

Linear OA(740, 63, F7, 24) (dual of [63, 23, 25]-code), using construction X applied to Ce(23) ⊂ Ce(16) based on
  1. linear OA(733, 49, F7, 24) (dual of [49, 16, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
  2. linear OA(725, 49, F7, 17) (dual of [49, 24, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
  3. linear OA(77, 14, F7, 6) (dual of [14, 7, 7]-code), 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(740, 21, F7, 3, 24) (dual of [(21, 3), 23, 25]-NRT-code) [i]OOA Folding