Information on Result #1783737
Digital (205, 244, 43910)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4244, 43910, F4, 39) (dual of [43910, 43666, 40]-code), using
- discarding factors / shortening the dual code based on linear OA(4244, 65587, F4, 39) (dual of [65587, 65343, 40]-code), using
- 1 times code embedding in larger space [i] based on linear OA(4243, 65586, F4, 39) (dual of [65586, 65343, 40]-code), using
- construction X applied to Ce(38) ⊂ Ce(32) [i] based on
- linear OA(4233, 65536, F4, 39) (dual of [65536, 65303, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(4193, 65536, F4, 33) (dual of [65536, 65343, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [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(38) ⊂ Ce(32) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(4243, 65586, F4, 39) (dual of [65586, 65343, 40]-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.