Information on Result #676530

Linear OA(3103, 735, F3, 26) (dual of [735, 632, 27]-code), using construction X applied to Ce(25) ⊂ Ce(24) based on
  1. linear OA(3103, 729, F3, 26) (dual of [729, 626, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
  2. linear OA(397, 729, F3, 25) (dual of [729, 632, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
  3. linear OA(30, 6, F3, 0) (dual of [6, 6, 1]-code), 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(3112, 772, F3, 26) (dual of [772, 660, 27]-code) [i]VarÅ¡amov–Edel Lengthening
2Linear OA(3113, 786, F3, 26) (dual of [786, 673, 27]-code) [i]
3Linear OA(3114, 805, F3, 26) (dual of [805, 691, 27]-code) [i]
4Linear OA(3115, 828, F3, 26) (dual of [828, 713, 27]-code) [i]
5Linear OA(3116, 856, F3, 26) (dual of [856, 740, 27]-code) [i]
6Linear OA(3117, 888, F3, 26) (dual of [888, 771, 27]-code) [i]
7Linear OA(3118, 924, F3, 26) (dual of [924, 806, 27]-code) [i]
8Linear OOA(3103, 367, F3, 2, 26) (dual of [(367, 2), 631, 27]-NRT-code) [i]OOA Folding
9Linear OOA(3103, 245, F3, 3, 26) (dual of [(245, 3), 632, 27]-NRT-code) [i]
10Linear OOA(3103, 183, F3, 4, 26) (dual of [(183, 4), 629, 27]-NRT-code) [i]
11Linear OOA(3103, 147, F3, 5, 26) (dual of [(147, 5), 632, 27]-NRT-code) [i]