Information on Result #679571

Linear OA(4211, 4102, F4, 47) (dual of [4102, 3891, 48]-code), using construction X applied to Ce(46) ⊂ Ce(45) based on
  1. linear OA(4211, 4096, F4, 47) (dual of [4096, 3885, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
  2. linear OA(4205, 4096, F4, 46) (dual of [4096, 3891, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [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(4214, 4117, F4, 47) (dual of [4117, 3903, 48]-code) [i]VarÅ¡amov–Edel Lengthening
2Linear OA(4215, 4138, F4, 47) (dual of [4138, 3923, 48]-code) [i]
3Linear OA(4216, 4177, F4, 47) (dual of [4177, 3961, 48]-code) [i]
4Linear OA(4217, 4240, F4, 47) (dual of [4240, 4023, 48]-code) [i]
5Linear OA(4218, 4331, F4, 47) (dual of [4331, 4113, 48]-code) [i]
6Linear OA(4219, 4444, F4, 47) (dual of [4444, 4225, 48]-code) [i]
7Linear OA(4220, 4572, F4, 47) (dual of [4572, 4352, 48]-code) [i]
8Linear OA(4221, 4708, F4, 47) (dual of [4708, 4487, 48]-code) [i]
9Linear OA(4222, 4851, F4, 47) (dual of [4851, 4629, 48]-code) [i]
10Linear OOA(4211, 2051, F4, 2, 47) (dual of [(2051, 2), 3891, 48]-NRT-code) [i]OOA Folding
11Linear OOA(4211, 1367, F4, 3, 47) (dual of [(1367, 3), 3890, 48]-NRT-code) [i]