Information on Result #674749

Linear OA(3150, 177186, F3, 20) (dual of [177186, 177036, 21]-code), using construction X applied to Ce(19) ⊂ Ce(15) based on
  1. linear OA(3144, 177147, F3, 20) (dual of [177147, 177003, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
  2. linear OA(3111, 177147, F3, 16) (dual of [177147, 177036, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
  3. linear OA(36, 39, F3, 3) (dual of [39, 33, 4]-code or 39-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(3151, 177187, F3, 20) (dual of [177187, 177036, 21]-code) [i]Code Embedding in Larger Space
2Linear OA(3152, 177188, F3, 20) (dual of [177188, 177036, 21]-code) [i]
3Linear OA(3153, 177189, F3, 20) (dual of [177189, 177036, 21]-code) [i]
4Linear OA(3154, 177190, F3, 20) (dual of [177190, 177036, 21]-code) [i]
5Linear OA(3154, 177191, F3, 20) (dual of [177191, 177037, 21]-code) [i]Construction X with VarÅ¡amov Bound
6Linear OOA(3150, 88593, F3, 2, 20) (dual of [(88593, 2), 177036, 21]-NRT-code) [i]OOA Folding
7Linear OOA(3150, 59062, F3, 3, 20) (dual of [(59062, 3), 177036, 21]-NRT-code) [i]
8Linear OOA(3150, 44296, F3, 4, 20) (dual of [(44296, 4), 177034, 21]-NRT-code) [i]
9Linear OOA(3150, 35437, F3, 5, 20) (dual of [(35437, 5), 177035, 21]-NRT-code) [i]
10Linear OOA(3150, 17718, F3, 20, 20) (dual of [(17718, 20), 354210, 21]-NRT-code) [i]OA Folding and Stacking