Information on Result #674420

Linear OA(3243, 1594364, F3, 28) (dual of [1594364, 1594121, 29]-code), using construction X applied to Ce(27) ⊂ Ce(22) based on
  1. linear OA(3235, 1594323, F3, 28) (dual of [1594323, 1594088, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
  2. linear OA(3196, 1594323, F3, 23) (dual of [1594323, 1594127, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
  3. linear OA(38, 41, F3, 4) (dual of [41, 33, 5]-code), using
    • the narrow-sense BCH-code C(I) with length 41 | 38−1, defining interval I = [1,1], and minimum distance d ≥ |{−3,−1,1,3}|+1 = 5 (BCH-bound) [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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(3243, 797182, F3, 2, 28) (dual of [(797182, 2), 1594121, 29]-NRT-code) [i]OOA Folding
2Linear OOA(3243, 531454, F3, 3, 28) (dual of [(531454, 3), 1594119, 29]-NRT-code) [i]
3Linear OOA(3243, 398591, F3, 4, 28) (dual of [(398591, 4), 1594121, 29]-NRT-code) [i]
4Linear OOA(3243, 318872, F3, 5, 28) (dual of [(318872, 5), 1594117, 29]-NRT-code) [i]
5Linear OOA(3243, 113883, F3, 28, 28) (dual of [(113883, 28), 3188481, 29]-NRT-code) [i]OA Folding and Stacking