Information on Result #1802180
Digital (67, 89, 109977)-net over F16, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(1689, 109977, F16, 22) (dual of [109977, 109888, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(1689, 131083, F16, 22) (dual of [131083, 130994, 23]-code), using
- 1 times code embedding in larger space [i] based on linear OA(1688, 131082, F16, 22) (dual of [131082, 130994, 23]-code), using
- trace code [i] based on linear OA(25644, 65541, F256, 22) (dual of [65541, 65497, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(19) [i] based on
- linear OA(25643, 65536, F256, 22) (dual of [65536, 65493, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(25639, 65536, F256, 20) (dual of [65536, 65497, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(2561, 5, F256, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(2561, s, F256, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(21) ⊂ Ce(19) [i] based on
- trace code [i] based on linear OA(25644, 65541, F256, 22) (dual of [65541, 65497, 23]-code), using
- 1 times code embedding in larger space [i] based on linear OA(1688, 131082, F16, 22) (dual of [131082, 130994, 23]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.