Information on Result #1780953
Digital (174, 213, 13724)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4213, 13724, F4, 39) (dual of [13724, 13511, 40]-code), using
- discarding factors / shortening the dual code based on linear OA(4213, 16421, F4, 39) (dual of [16421, 16208, 40]-code), using
- 2 times code embedding in larger space [i] based on linear OA(4211, 16419, F4, 39) (dual of [16419, 16208, 40]-code), using
- construction X applied to Ce(38) ⊂ Ce(33) [i] based on
- linear OA(4204, 16384, F4, 39) (dual of [16384, 16180, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(4176, 16384, F4, 34) (dual of [16384, 16208, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(47, 35, F4, 4) (dual of [35, 28, 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(38) ⊂ Ce(33) [i] based on
- 2 times code embedding in larger space [i] based on linear OA(4211, 16419, F4, 39) (dual of [16419, 16208, 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.