Information on Result #1783450
Digital (206, 241, 131088)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4241, 131088, F4, 2, 35) (dual of [(131088, 2), 261935, 36]-NRT-code), using
- 41 times duplication [i] based on linear OOA(4240, 131088, F4, 2, 35) (dual of [(131088, 2), 261936, 36]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4240, 262176, F4, 35) (dual of [262176, 261936, 36]-code), using
- construction X applied to Ce(34) ⊂ Ce(30) [i] based on
- linear OA(4235, 262144, F4, 35) (dual of [262144, 261909, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(4208, 262144, F4, 31) (dual of [262144, 261936, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(45, 32, F4, 3) (dual of [32, 27, 4]-code or 32-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), using
- construction X applied to Ce(34) ⊂ Ce(30) [i] based on
- OOA 2-folding [i] based on linear OA(4240, 262176, F4, 35) (dual of [262176, 261936, 36]-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.