Information on Result #1775338
Digital (109, 129, 48106)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4129, 48106, F4, 20) (dual of [48106, 47977, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(4129, 65576, F4, 20) (dual of [65576, 65447, 21]-code), using
- 1 times code embedding in larger space [i] based on linear OA(4128, 65575, F4, 20) (dual of [65575, 65447, 21]-code), using
- construction X applied to Ce(20) ⊂ Ce(14) [i] based on
- linear OA(4121, 65536, F4, 21) (dual of [65536, 65415, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(489, 65536, F4, 15) (dual of [65536, 65447, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(47, 39, F4, 4) (dual of [39, 32, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(20) ⊂ Ce(14) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(4128, 65575, F4, 20) (dual of [65575, 65447, 21]-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.