Information on Result #1186764
Digital (138, 156, 466040)-net over F4, using net defined by OOA based on linear OOA(4156, 466040, F4, 18, 18) (dual of [(466040, 18), 8388564, 19]-NRT-code), using
- OA 9-folding and stacking [i] based on linear OA(4156, 4194360, F4, 18) (dual of [4194360, 4194204, 19]-code), using
- 4 times code embedding in larger space [i] based on linear OA(4152, 4194356, F4, 18) (dual of [4194356, 4194204, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(12) [i] based on
- linear OA(4144, 4194304, F4, 18) (dual of [4194304, 4194160, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(4100, 4194304, F4, 13) (dual of [4194304, 4194204, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(48, 52, F4, 4) (dual of [52, 44, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(48, 85, F4, 4) (dual of [85, 77, 5]-code), using
- construction X applied to Ce(17) ⊂ Ce(12) [i] based on
- 4 times code embedding in larger space [i] based on linear OA(4152, 4194356, F4, 18) (dual of [4194356, 4194204, 19]-code), using
Mode: Constructive and 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.