Information on Result #689483

Linear OA(971, 59089, F9, 14) (dual of [59089, 59018, 15]-code), using construction X applied to Ce(13) ⊂ Ce(6) based on
  1. linear OA(961, 59049, F9, 14) (dual of [59049, 58988, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
  2. linear OA(931, 59049, F9, 7) (dual of [59049, 59018, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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(972, 59090, F9, 14) (dual of [59090, 59018, 15]-code) [i]Code Embedding in Larger Space
2Linear OOA(971, 29544, F9, 2, 14) (dual of [(29544, 2), 59017, 15]-NRT-code) [i]OOA Folding
3Linear OOA(971, 19696, F9, 3, 14) (dual of [(19696, 3), 59017, 15]-NRT-code) [i]
4Linear OOA(971, 8441, F9, 14, 14) (dual of [(8441, 14), 118103, 15]-NRT-code) [i]OA Folding and Stacking