Information on Result #1185778
Digital (34, 40, 87388)-net over F4, using net defined by OOA based on linear OOA(440, 87388, F4, 6, 6) (dual of [(87388, 6), 524288, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(440, 262164, F4, 6) (dual of [262164, 262124, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(440, 262165, F4, 6) (dual of [262165, 262125, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(2) [i] based on
- linear OA(437, 262144, F4, 6) (dual of [262144, 262107, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(419, 262144, F4, 3) (dual of [262144, 262125, 4]-code or 262144-cap in PG(18,4)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [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(5) ⊂ Ce(2) [i] based on
- discarding factors / shortening the dual code based on linear OA(440, 262165, F4, 6) (dual of [262165, 262125, 7]-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.