Information on Result #1781215
Digital (183, 216, 61989)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4216, 61989, F4, 33) (dual of [61989, 61773, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(4216, 65615, F4, 33) (dual of [65615, 65399, 34]-code), using
- 1 times code embedding in larger space [i] based on linear OA(4215, 65614, F4, 33) (dual of [65614, 65399, 34]-code), using
- construction X applied to Ce(32) ⊂ Ce(22) [i] based on
- 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(4137, 65536, F4, 23) (dual of [65536, 65399, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(422, 78, F4, 9) (dual of [78, 56, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(422, 85, F4, 9) (dual of [85, 63, 10]-code), using
- construction X applied to Ce(32) ⊂ Ce(22) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(4215, 65614, F4, 33) (dual of [65614, 65399, 34]-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.