MinT - Information on Result #1215039

Information on Result #1215039

Digital (33, 41, 8219)-net over F₈, using (u,Â u+v)-construction based on

digital (2, 6, 28)-net over F₈, using
- net defined by OOA [i] based on linear OOA(8⁶, 28, F₈, 4, 4) (dual of [(28, 4), 106, 5]-NRT-code), using
  - appending kth column [i] based on linear OOA(8⁶, 28, F₈, 3, 4) (dual of [(28, 3), 78, 5]-NRT-code), using
    - OA 2-folding and stacking [i] based on linear OA(8⁶, 56, F₈, 4) (dual of [56, 50, 5]-code), using
      - 1 times truncation [i] based on linear OA(8⁷, 57, F₈, 5) (dual of [57, 50, 6]-code), using
        a code by Danev and Olsson [i]
digital (27, 35, 8191)-net over F₈, using
- net defined by OOA [i] based on linear OOA(8³⁵, 8191, F₈, 8, 8) (dual of [(8191, 8), 65493, 9]-NRT-code), using
  - OA 4-folding and stacking [i] based on linear OA(8³⁵, 32764, F₈, 8) (dual of [32764, 32729, 9]-code), using
    - discarding factors / shortening the dual code based on linear OA(8³⁵, 32767, F₈, 8) (dual of [32767, 32732, 9]-code), using
      - 1 times truncation [i] based on linear OA(8³⁶, 32768, F₈, 9) (dual of [32768, 32732, 10]-code), using
        an extension C_e(8) of the primitive narrow-sense BCH-code C(I) with length 32767Â = 8⁵âˆ’1, defining interval IÂ =Â [1,8], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 9 [i]

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

The following results depend on this result:

	Result		This result only	Method
1	Digital (147, 163, 2105369)-net over F₈	[i]		(u,Â u+v)-Construction for Nets
2	Digital (154, 171, 2105369)-net over F₈	[i]		(u,Â u+v)-Construction for Nets