Information on Result #692034

Linear OA(1694, 4099, F16, 34) (dual of [4099, 4005, 35]-code), using construction X applied to Ce(33) ⊂ Ce(32) based on
  1. linear OA(1694, 4096, F16, 34) (dual of [4096, 4002, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
  2. linear OA(1691, 4096, F16, 33) (dual of [4096, 4005, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
  3. linear OA(160, 3, F16, 0) (dual of [3, 3, 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(1695, 4100, F16, 34) (dual of [4100, 4005, 35]-code) [i]Code Embedding in Larger Space
2Linear OA(16118, 4166, F16, 34) (dual of [4166, 4048, 35]-code) [i](u, u+v)-Construction
3Linear OA(16119, 4168, F16, 34) (dual of [4168, 4049, 35]-code) [i]
4Linear OA(16120, 4170, F16, 34) (dual of [4170, 4050, 35]-code) [i]
5Linear OA(16121, 4172, F16, 34) (dual of [4172, 4051, 35]-code) [i]
6Linear OA(1698, 4118, F16, 34) (dual of [4118, 4020, 35]-code) [i]VarÅ¡amov–Edel Lengthening
7Linear OA(1699, 4150, F16, 34) (dual of [4150, 4051, 35]-code) [i]
8Linear OA(16100, 4228, F16, 34) (dual of [4228, 4128, 35]-code) [i]
9Linear OA(16101, 4391, F16, 34) (dual of [4391, 4290, 35]-code) [i]
10Linear OA(16102, 4673, F16, 34) (dual of [4673, 4571, 35]-code) [i]
11Linear OA(16103, 5052, F16, 34) (dual of [5052, 4949, 35]-code) [i]
12Linear OOA(1694, 2049, F16, 2, 34) (dual of [(2049, 2), 4004, 35]-NRT-code) [i]OOA Folding