Information on Result #3326209
Digital (206, 234, 1398109)-net over F4, using 41 times duplication based on digital (205, 233, 1398109)-net over F4, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4233, 1398109, F4, 3, 28) (dual of [(1398109, 3), 4194094, 29]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4233, 4194327, F4, 28) (dual of [4194327, 4194094, 29]-code), using
- construction X applied to Ce(28) ⊂ Ce(25) [i] based on
- linear OA(4232, 4194304, F4, 29) (dual of [4194304, 4194072, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(4210, 4194304, F4, 26) (dual of [4194304, 4194094, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(41, 23, F4, 1) (dual of [23, 22, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(28) ⊂ Ce(25) [i] based on
- OOA 3-folding [i] based on linear OA(4233, 4194327, F4, 28) (dual of [4194327, 4194094, 29]-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.