Information on Result #1720782
Digital (216, 250, 34382)-net over F4, using net defined by OOA based on linear OOA(4250, 34382, F4, 39, 34) (dual of [(34382, 39), 1340648, 35]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(4250, 206293, F4, 3, 34) (dual of [(206293, 3), 618629, 35]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4250, 206293, F4, 34) (dual of [206293, 206043, 35]-code), using
- discarding factors / shortening the dual code based on linear OA(4250, 262231, F4, 34) (dual of [262231, 261981, 35]-code), using
- 3 times code embedding in larger space [i] based on linear OA(4247, 262228, F4, 34) (dual of [262228, 261981, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(24) [i] based on
- linear OA(4226, 262144, F4, 34) (dual of [262144, 261918, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(4163, 262144, F4, 25) (dual of [262144, 261981, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(421, 84, F4, 8) (dual of [84, 63, 9]-code), using
- construction X applied to Ce(33) ⊂ Ce(24) [i] based on
- 3 times code embedding in larger space [i] based on linear OA(4247, 262228, F4, 34) (dual of [262228, 261981, 35]-code), using
- discarding factors / shortening the dual code based on linear OA(4250, 262231, F4, 34) (dual of [262231, 261981, 35]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4250, 206293, F4, 34) (dual of [206293, 206043, 35]-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.