Information on Result #1780536
Digital (170, 208, 13758)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4208, 13758, F4, 38) (dual of [13758, 13550, 39]-code), using
- discarding factors / shortening the dual code based on linear OA(4208, 16423, F4, 38) (dual of [16423, 16215, 39]-code), using
- 4 times code embedding in larger space [i] based on linear OA(4204, 16419, F4, 38) (dual of [16419, 16215, 39]-code), using
- construction X applied to Ce(37) ⊂ Ce(32) [i] based on
- 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(4169, 16384, F4, 33) (dual of [16384, 16215, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [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(37) ⊂ Ce(32) [i] based on
- 4 times code embedding in larger space [i] based on linear OA(4204, 16419, F4, 38) (dual of [16419, 16215, 39]-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.