Information on Result #689234

Linear OA(9119, 531482, F9, 21) (dual of [531482, 531363, 22]-code), using construction X applied to Ce(20) ⊂ Ce(13) based on
  1. linear OA(9109, 531441, F9, 21) (dual of [531441, 531332, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
  2. linear OA(973, 531441, F9, 14) (dual of [531441, 531368, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
  3. linear OA(910, 41, F9, 6) (dual of [41, 31, 7]-code), using
    • an extension Ce(5) of the narrow-sense BCH-code C(I) with length 40 | 92−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [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(9119, 53148, F9, 21, 21) (dual of [(53148, 21), 1115989, 22]-NRT-code) [i]OOA Folding and Stacking with Additional Row