Information on Result #691515

Linear OA(937, 50, F9, 25) (dual of [50, 13, 26]-code), using construction X applied to Ce(24) ⊂ Ce(19) based on
  1. linear OA(933, 41, F9, 25) (dual of [41, 8, 26]-code), using an extension Ce(24) of the narrow-sense BCH-code C(I) with length 40 | 92−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
  2. linear OA(928, 41, F9, 20) (dual of [41, 13, 21]-code), using an extension Ce(19) of the narrow-sense BCH-code C(I) with length 40 | 92−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
  3. linear OA(94, 9, F9, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,9)), 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 OA(936, 49, F9, 24) (dual of [49, 13, 25]-code) [i]Truncation
2Linear OOA(937, 25, F9, 2, 25) (dual of [(25, 2), 13, 26]-NRT-code) [i]OOA Folding