Information on Result #689468

Linear OA(9146, 59089, F9, 31) (dual of [59089, 58943, 32]-code), using construction X applied to Ce(30) ⊂ Ce(23) based on
  1. linear OA(9136, 59049, F9, 31) (dual of [59049, 58913, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
  2. linear OA(9106, 59049, F9, 24) (dual of [59049, 58943, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
  3. linear OA(910, 40, F9, 6) (dual of [40, 30, 7]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 40 | 92−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [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 OA(9147, 59090, F9, 31) (dual of [59090, 58943, 32]-code) [i]Code Embedding in Larger Space
2Linear OOA(9146, 29544, F9, 2, 31) (dual of [(29544, 2), 58942, 32]-NRT-code) [i]OOA Folding
3Linear OOA(9146, 19696, F9, 3, 31) (dual of [(19696, 3), 58942, 32]-NRT-code) [i]
4Linear OOA(9146, 3939, F9, 31, 31) (dual of [(3939, 31), 121963, 32]-NRT-code) [i]OOA Folding and Stacking with Additional Row