Information on Result #679583

Linear OA(4157, 4102, F4, 35) (dual of [4102, 3945, 36]-code), using construction X applied to Ce(34) ⊂ Ce(33) based on
  1. linear OA(4157, 4096, F4, 35) (dual of [4096, 3939, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
  2. linear OA(4151, 4096, F4, 34) (dual of [4096, 3945, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [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(4163, 4128, F4, 35) (dual of [4128, 3965, 36]-code) [i]VarÅ¡amov–Edel Lengthening
2Linear OA(4164, 4147, F4, 35) (dual of [4147, 3983, 36]-code) [i]
3Linear OA(4165, 4177, F4, 35) (dual of [4177, 4012, 36]-code) [i]
4Linear OA(4166, 4223, F4, 35) (dual of [4223, 4057, 36]-code) [i]
5Linear OA(4167, 4291, F4, 35) (dual of [4291, 4124, 36]-code) [i]
6Linear OA(4168, 4387, F4, 35) (dual of [4387, 4219, 36]-code) [i]
7Linear OA(4169, 4512, F4, 35) (dual of [4512, 4343, 36]-code) [i]
8Linear OA(4170, 4665, F4, 35) (dual of [4665, 4495, 36]-code) [i]
9Linear OA(4171, 4841, F4, 35) (dual of [4841, 4670, 36]-code) [i]
10Linear OA(4172, 5034, F4, 35) (dual of [5034, 4862, 36]-code) [i]
11Linear OOA(4157, 2051, F4, 2, 35) (dual of [(2051, 2), 3945, 36]-NRT-code) [i]OOA Folding
12Linear OOA(4157, 1367, F4, 3, 35) (dual of [(1367, 3), 3944, 36]-NRT-code) [i]