Information on Result #1720668
Digital (152, 186, 2144)-net over F4, using net defined by OOA based on linear OOA(4186, 2144, F4, 39, 34) (dual of [(2144, 39), 83430, 35]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(4186, 12865, F4, 3, 34) (dual of [(12865, 3), 38409, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4186, 12869, F4, 3, 34) (dual of [(12869, 3), 38421, 35]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4186, 12869, F4, 34) (dual of [12869, 12683, 35]-code), using
- discarding factors / shortening the dual code based on linear OA(4186, 16422, F4, 34) (dual of [16422, 16236, 35]-code), using
- 3 times code embedding in larger space [i] based on linear OA(4183, 16419, F4, 34) (dual of [16419, 16236, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(28) [i] based on
- 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(4148, 16384, F4, 29) (dual of [16384, 16236, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [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(33) ⊂ Ce(28) [i] based on
- 3 times code embedding in larger space [i] based on linear OA(4183, 16419, F4, 34) (dual of [16419, 16236, 35]-code), using
- discarding factors / shortening the dual code based on linear OA(4186, 16422, F4, 34) (dual of [16422, 16236, 35]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4186, 12869, F4, 34) (dual of [12869, 12683, 35]-code), using
- discarding factors / shortening the dual code based on linear OOA(4186, 12869, F4, 3, 34) (dual of [(12869, 3), 38421, 35]-NRT-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.