MinT - Information on Result #1210292

Information on Result #1210292

Digital (128, 142, 1198566)-net over F₄, using (u,Â u+v)-construction based on

digital (14, 21, 195)-net over F₄, using
- trace code for nets [i] based on digital (0, 7, 65)-net over F₆₄, using
  - net from sequence [i] based on digital (0, 64)-sequence over F₆₄, using
    - generalized Faure sequence [i]
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 0 and N(F) ≥ 65, using
      - the rational function field F₆₄(x) [i]
    - Niederreiter sequence [i]
digital (107, 121, 1198371)-net over F₄, using
- net defined by OOA [i] based on linear OOA(4¹²¹, 1198371, F₄, 14, 14) (dual of [(1198371, 14), 16777073, 15]-NRT-code), using
  - OA 7-folding and stacking [i] based on linear OA(4¹²¹, 8388597, F₄, 14) (dual of [8388597, 8388476, 15]-code), using
    - discarding factors / shortening the dual code based on linear OA(4¹²¹, large, F₄, 14) (dual of [large, large−121, 15]-code), using
      - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 4¹²âˆ’1, defining interval IÂ =Â [0,13], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 15 [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Digital (129, 143, 1198566)-net over F₄	[i]		Net Duplication
2	Digital (130, 144, 1198566)-net over F₄	[i]		Net Duplication