Information on Result #1719080
Digital (155, 178, 131077)-net over F4, using net defined by OOA based on linear OOA(4178, 131077, F4, 27, 23) (dual of [(131077, 27), 3538901, 24]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(4178, 524309, F4, 3, 23) (dual of [(524309, 3), 1572749, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4178, 524309, F4, 2, 23) (dual of [(524309, 2), 1048440, 24]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4178, 1048618, F4, 23) (dual of [1048618, 1048440, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(4178, 1048619, F4, 23) (dual of [1048619, 1048441, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(17) [i] based on
- linear OA(4171, 1048576, F4, 23) (dual of [1048576, 1048405, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(4131, 1048576, F4, 18) (dual of [1048576, 1048445, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(22) ⊂ Ce(17) [i] based on
- discarding factors / shortening the dual code based on linear OA(4178, 1048619, F4, 23) (dual of [1048619, 1048441, 24]-code), using
- OOA 2-folding [i] based on linear OA(4178, 1048618, F4, 23) (dual of [1048618, 1048440, 24]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4178, 524309, F4, 2, 23) (dual of [(524309, 2), 1048440, 24]-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.