Information on Result #1187418
Digital (188, 213, 349531)-net over F4, using net defined by OOA based on linear OOA(4213, 349531, F4, 25, 25) (dual of [(349531, 25), 8738062, 26]-NRT-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(4213, 4194373, F4, 25) (dual of [4194373, 4194160, 26]-code), using
- 1 times code embedding in larger space [i] based on linear OA(4212, 4194372, F4, 25) (dual of [4194372, 4194160, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(17) [i] based on
- linear OA(4199, 4194304, F4, 25) (dual of [4194304, 4194105, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- 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(413, 68, F4, 6) (dual of [68, 55, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(413, 70, F4, 6) (dual of [70, 57, 7]-code), using
- construction X applied to Ce(24) ⊂ Ce(17) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(4212, 4194372, F4, 25) (dual of [4194372, 4194160, 26]-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.