MinT - Information on Result #1217284

Information on Result #1217284

Digital (71, 81, 3355476)-net over F₉, using (u,Â u+v)-construction based on

digital (2, 7, 36)-net over F₉, using
- net defined by OOA [i] based on linear OOA(9⁷, 36, F₉, 5, 5) (dual of [(36, 5), 173, 6]-NRT-code), using
  - OOA 2-folding and stacking with additional row [i] based on linear OA(9⁷, 73, F₉, 5) (dual of [73, 66, 6]-code), using
    - a code by Danev and Olsson [i]
digital (64, 74, 3355440)-net over F₉, using
- trace code for nets [i] based on digital (27, 37, 1677720)-net over F₈₁, using
  - net defined by OOA [i] based on linear OOA(81³⁷, 1677720, F₈₁, 10, 10) (dual of [(1677720, 10), 16777163, 11]-NRT-code), using
    - OA 5-folding and stacking [i] based on linear OA(81³⁷, 8388600, F₈₁, 10) (dual of [8388600, 8388563, 11]-code), using
      - discarding factors / shortening the dual code based on linear OA(81³⁷, large, F₈₁, 10) (dual of [large, large−37, 11]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 21523360Â | 81⁴âˆ’1, defining interval IÂ =Â [0,9], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 11 [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Digital (72, 82, 3355476)-net over F₉	[i]		Net Duplication
2	Digital (104, 114, 6710952)-net over F₉	[i]		(u,Â u+v)-Construction for Nets