Information on Result #1784526
Digital (212, 252, 47442)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4252, 47442, F4, 40) (dual of [47442, 47190, 41]-code), using
- discarding factors / shortening the dual code based on linear OA(4252, 65587, F4, 40) (dual of [65587, 65335, 41]-code), using
- 1 times code embedding in larger space [i] based on linear OA(4251, 65586, F4, 40) (dual of [65586, 65335, 41]-code), using
- construction X applied to Ce(40) ⊂ Ce(33) [i] based on
- linear OA(4241, 65536, F4, 41) (dual of [65536, 65295, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(4201, 65536, F4, 34) (dual of [65536, 65335, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(410, 50, F4, 5) (dual of [50, 40, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 6]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 6 [i]
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 6]-code), using
- construction X applied to Ce(40) ⊂ Ce(33) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(4251, 65586, F4, 40) (dual of [65586, 65335, 41]-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.