Information on Result #1784027
Digital (202, 247, 15622)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4247, 15622, F4, 45) (dual of [15622, 15375, 46]-code), using
- discarding factors / shortening the dual code based on linear OA(4247, 16434, F4, 45) (dual of [16434, 16187, 46]-code), using
- 2 times code embedding in larger space [i] based on linear OA(4245, 16432, F4, 45) (dual of [16432, 16187, 46]-code), using
- construction X applied to Ce(44) ⊂ Ce(37) [i] based on
- linear OA(4232, 16384, F4, 45) (dual of [16384, 16152, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(4197, 16384, F4, 38) (dual of [16384, 16187, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(413, 48, F4, 6) (dual of [48, 35, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(413, 63, F4, 6) (dual of [63, 50, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(413, 63, F4, 6) (dual of [63, 50, 7]-code), using
- construction X applied to Ce(44) ⊂ Ce(37) [i] based on
- 2 times code embedding in larger space [i] based on linear OA(4245, 16432, F4, 45) (dual of [16432, 16187, 46]-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.