Information on Result #674929

Linear OA(3157, 59085, F3, 23) (dual of [59085, 58928, 24]-code), using construction X applied to Ce(22) ⊂ Ce(18) based on
  1. linear OA(3151, 59049, F3, 23) (dual of [59049, 58898, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
  2. linear OA(3121, 59049, F3, 19) (dual of [59049, 58928, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
  3. linear OA(36, 36, F3, 3) (dual of [36, 30, 4]-code or 36-cap in PG(5,3)), using

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(3158, 59086, F3, 23) (dual of [59086, 58928, 24]-code) [i]Code Embedding in Larger Space
2Linear OA(3159, 59087, F3, 23) (dual of [59087, 58928, 24]-code) [i]
3Linear OA(3160, 59088, F3, 23) (dual of [59088, 58928, 24]-code) [i]
4Linear OA(3161, 59089, F3, 23) (dual of [59089, 58928, 24]-code) [i]
5Linear OOA(3157, 29542, F3, 2, 23) (dual of [(29542, 2), 58927, 24]-NRT-code) [i]OOA Folding
6Linear OOA(3157, 19695, F3, 3, 23) (dual of [(19695, 3), 58928, 24]-NRT-code) [i]
7Linear OOA(3157, 14771, F3, 4, 23) (dual of [(14771, 4), 58927, 24]-NRT-code) [i]
8Linear OOA(3157, 11817, F3, 5, 23) (dual of [(11817, 5), 58928, 24]-NRT-code) [i]
9Linear OOA(3157, 5371, F3, 23, 23) (dual of [(5371, 23), 123376, 24]-NRT-code) [i]OOA Folding and Stacking with Additional Row