Information on Result #679575

Linear OA(4193, 4102, F4, 43) (dual of [4102, 3909, 44]-code), using construction X applied to Ce(42) ⊂ Ce(41) based on
  1. linear OA(4193, 4096, F4, 43) (dual of [4096, 3903, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
  2. linear OA(4187, 4096, F4, 42) (dual of [4096, 3909, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
  3. linear OA(40, 6, F4, 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(4197, 4116, F4, 43) (dual of [4116, 3919, 44]-code) [i]VarÅ¡amov–Edel Lengthening
2Linear OA(4198, 4130, F4, 43) (dual of [4130, 3932, 44]-code) [i]
3Linear OA(4199, 4156, F4, 43) (dual of [4156, 3957, 44]-code) [i]
4Linear OA(4200, 4202, F4, 43) (dual of [4202, 4002, 44]-code) [i]
5Linear OA(4201, 4275, F4, 43) (dual of [4275, 4074, 44]-code) [i]
6Linear OA(4202, 4378, F4, 43) (dual of [4378, 4176, 44]-code) [i]
7Linear OA(4203, 4505, F4, 43) (dual of [4505, 4302, 44]-code) [i]
8Linear OA(4204, 4648, F4, 43) (dual of [4648, 4444, 44]-code) [i]
9Linear OA(4205, 4801, F4, 43) (dual of [4801, 4596, 44]-code) [i]
10Linear OOA(4193, 2051, F4, 2, 43) (dual of [(2051, 2), 3909, 44]-NRT-code) [i]OOA Folding
11Linear OOA(4193, 1367, F4, 3, 43) (dual of [(1367, 3), 3908, 44]-NRT-code) [i]