Information on Result #3168363
Digital (187, 219, 16385)-net over F4, using 1 times m-reduction based on digital (187, 220, 16385)-net over F4, using
- net defined by OOA [i] based on linear OOA(4220, 16385, F4, 33, 33) (dual of [(16385, 33), 540485, 34]-NRT-code), using
- OOA 16-folding and stacking with additional row [i] based on linear OA(4220, 262161, F4, 33) (dual of [262161, 261941, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(4220, 262165, F4, 33) (dual of [262165, 261945, 34]-code), using
- construction X applied to Ce(32) ⊂ Ce(29) [i] based on
- linear OA(4217, 262144, F4, 33) (dual of [262144, 261927, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(4199, 262144, F4, 30) (dual of [262144, 261945, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- construction X applied to Ce(32) ⊂ Ce(29) [i] based on
- discarding factors / shortening the dual code based on linear OA(4220, 262165, F4, 33) (dual of [262165, 261945, 34]-code), using
- OOA 16-folding and stacking with additional row [i] based on linear OA(4220, 262161, F4, 33) (dual of [262161, 261941, 34]-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.