Information on Result #677064

Linear OA(3170, 372, F3, 49) (dual of [372, 202, 50]-code), using construction X applied to Ce(48) ⊂ Ce(46) based on
  1. linear OA(3169, 365, F3, 49) (dual of [365, 196, 50]-code), using an extension Ce(48) of the narrow-sense BCH-code C(I) with length 364 | 36−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
  2. linear OA(3163, 365, F3, 47) (dual of [365, 202, 48]-code), using an extension Ce(46) of the narrow-sense BCH-code C(I) with length 364 | 36−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
  3. linear OA(31, 7, F3, 1) (dual of [7, 6, 2]-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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OOA(3170, 186, F3, 2, 49) (dual of [(186, 2), 202, 50]-NRT-code) [i]OOA Folding
2Linear OOA(3170, 124, F3, 3, 49) (dual of [(124, 3), 202, 50]-NRT-code) [i]