MinT - Information on Result #1226771

Information on Result #1226771

Digital (27, 35, 2099166)-net over F₆₄, using (u,Â u+v)-construction based on

digital (2, 6, 2016)-net over F₆₄, using
- net defined by OOA [i] based on linear OOA(64⁶, 2016, F₆₄, 4, 4) (dual of [(2016, 4), 8058, 5]-NRT-code), using
  - appending kth column [i] based on linear OOA(64⁶, 2016, F₆₄, 3, 4) (dual of [(2016, 3), 6042, 5]-NRT-code), using
    - OA 2-folding and stacking [i] based on linear OA(64⁶, 4032, F₆₄, 4) (dual of [4032, 4026, 5]-code), using
      - 1 times truncation [i] based on linear OA(64⁷, 4033, F₆₄, 5) (dual of [4033, 4026, 6]-code), using
        a code by Danev and Olsson [i]
digital (21, 29, 2097150)-net over F₆₄, using
- net defined by OOA [i] based on linear OOA(64²⁹, 2097150, F₆₄, 8, 8) (dual of [(2097150, 8), 16777171, 9]-NRT-code), using
  - OA 4-folding and stacking [i] based on linear OA(64²⁹, 8388600, F₆₄, 8) (dual of [8388600, 8388571, 9]-code), using
    - discarding factors / shortening the dual code based on linear OA(64²⁹, large, F₆₄, 8) (dual of [large, large−29, 9]-code), using
      - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 64⁴âˆ’1, defining interval IÂ =Â [0,7], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 9 [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Digital (40, 48, 4198332)-net over F₆₄	[i]		(u,Â u+v)-Construction for Nets
2	(34, 42, 2099166)-net in base 32	[i]		Base Change