Information on Result #674432

Linear OA(3165, 1594364, F3, 19) (dual of [1594364, 1594199, 20]-code), using construction X applied to Ce(18) ⊂ Ce(13) based on
  1. linear OA(3157, 1594323, F3, 19) (dual of [1594323, 1594166, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
  2. linear OA(3118, 1594323, F3, 14) (dual of [1594323, 1594205, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(3165, 797182, F3, 2, 19) (dual of [(797182, 2), 1594199, 20]-NRT-code) [i]OOA Folding
2Linear OOA(3165, 531454, F3, 3, 19) (dual of [(531454, 3), 1594197, 20]-NRT-code) [i]
3Linear OOA(3165, 398591, F3, 4, 19) (dual of [(398591, 4), 1594199, 20]-NRT-code) [i]
4Linear OOA(3165, 318872, F3, 5, 19) (dual of [(318872, 5), 1594195, 20]-NRT-code) [i]
5Linear OOA(3165, 177151, F3, 19, 19) (dual of [(177151, 19), 3365704, 20]-NRT-code) [i]OOA Folding and Stacking with Additional Row