Information on Result #676524

Linear OA(3136, 735, F3, 35) (dual of [735, 599, 36]-code), using construction X applied to Ce(34) ⊂ Ce(33) based on
  1. linear OA(3136, 729, F3, 35) (dual of [729, 593, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
  2. linear OA(3130, 729, F3, 34) (dual of [729, 599, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [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(3144, 765, F3, 35) (dual of [765, 621, 36]-code) [i]VarÅ¡amov–Edel Lengthening
2Linear OA(3145, 776, F3, 35) (dual of [776, 631, 36]-code) [i]
3Linear OA(3146, 791, F3, 35) (dual of [791, 645, 36]-code) [i]
4Linear OA(3147, 809, F3, 35) (dual of [809, 662, 36]-code) [i]
5Linear OA(3148, 830, F3, 35) (dual of [830, 682, 36]-code) [i]
6Linear OA(3149, 854, F3, 35) (dual of [854, 705, 36]-code) [i]
7Linear OA(3150, 880, F3, 35) (dual of [880, 730, 36]-code) [i]
8Linear OA(3151, 908, F3, 35) (dual of [908, 757, 36]-code) [i]
9Linear OA(3152, 937, F3, 35) (dual of [937, 785, 36]-code) [i]
10Linear OA(3153, 967, F3, 35) (dual of [967, 814, 36]-code) [i]
11Linear OA(3154, 998, F3, 35) (dual of [998, 844, 36]-code) [i]
12Linear OOA(3136, 367, F3, 2, 35) (dual of [(367, 2), 598, 36]-NRT-code) [i]OOA Folding
13Linear OOA(3136, 245, F3, 3, 35) (dual of [(245, 3), 599, 36]-NRT-code) [i]
14Linear OOA(3136, 183, F3, 4, 35) (dual of [(183, 4), 596, 36]-NRT-code) [i]
15Linear OOA(3136, 147, F3, 5, 35) (dual of [(147, 5), 599, 36]-NRT-code) [i]