Information on Result #692033

Linear OA(1697, 4099, F16, 35) (dual of [4099, 4002, 36]-code), using construction X applied to Ce(34) ⊂ Ce(33) based on
  1. linear OA(1697, 4096, F16, 35) (dual of [4096, 3999, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
  2. 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]
  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(16121, 4166, F16, 35) (dual of [4166, 4045, 36]-code) [i](u, u+v)-Construction
2Linear OA(16122, 4168, F16, 35) (dual of [4168, 4046, 36]-code) [i]
3Linear OA(16123, 4170, F16, 35) (dual of [4170, 4047, 36]-code) [i]
4Linear OA(16124, 4172, F16, 35) (dual of [4172, 4048, 36]-code) [i]
5Linear OA(16101, 4120, F16, 35) (dual of [4120, 4019, 36]-code) [i]VarÅ¡amov–Edel Lengthening
6Linear OA(16102, 4160, F16, 35) (dual of [4160, 4058, 36]-code) [i]
7Linear OA(16103, 4256, F16, 35) (dual of [4256, 4153, 36]-code) [i]
8Linear OA(16104, 4449, F16, 35) (dual of [4449, 4345, 36]-code) [i]
9Linear OA(16105, 4756, F16, 35) (dual of [4756, 4651, 36]-code) [i]
10Linear OA(16106, 5141, F16, 35) (dual of [5141, 5035, 36]-code) [i]
11Linear OOA(1697, 2049, F16, 2, 35) (dual of [(2049, 2), 4001, 36]-NRT-code) [i]OOA Folding