Information on Result #674746

Linear OA(3172, 177186, F3, 23) (dual of [177186, 177014, 24]-code), using construction X applied to Ce(22) ⊂ Ce(18) based on
  1. linear OA(3166, 177147, F3, 23) (dual of [177147, 176981, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
  2. linear OA(3133, 177147, F3, 19) (dual of [177147, 177014, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(3173, 177187, F3, 23) (dual of [177187, 177014, 24]-code) [i]Code Embedding in Larger Space
2Linear OA(3174, 177188, F3, 23) (dual of [177188, 177014, 24]-code) [i]
3Linear OA(3175, 177189, F3, 23) (dual of [177189, 177014, 24]-code) [i]
4Linear OA(3176, 177190, F3, 23) (dual of [177190, 177014, 24]-code) [i]
5Linear OOA(3172, 88593, F3, 2, 23) (dual of [(88593, 2), 177014, 24]-NRT-code) [i]OOA Folding
6Linear OOA(3172, 59062, F3, 3, 23) (dual of [(59062, 3), 177014, 24]-NRT-code) [i]
7Linear OOA(3172, 44296, F3, 4, 23) (dual of [(44296, 4), 177012, 24]-NRT-code) [i]
8Linear OOA(3172, 35437, F3, 5, 23) (dual of [(35437, 5), 177013, 24]-NRT-code) [i]
9Linear OOA(3172, 16107, F3, 23, 23) (dual of [(16107, 23), 370289, 24]-NRT-code) [i]OOA Folding and Stacking with Additional Row