MinT - Information on Result #1842223

Information on Result #1842223

(221, 244, 762987)-net in base 4, using (u,Â u+v)-construction based on

(28, 39, 387)-net in base 4, using
- trace code for nets [i] based on (2, 13, 129)-net in base 64, using
  - 1 times m-reduction [i] based on (2, 14, 129)-net in base 64, using
    - base change [i] based on digital (0, 12, 129)-net over F₁₂₈, using
      - net from sequence [i] based on digital (0, 128)-sequence over F₁₂₈, using
        generalized Faure sequence [i]
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₂₈ with g(F) = 0 and N(F) ≥ 129, using
        the rational function field F₁₂₈(x) [i]
        Niederreiter sequence [i]
digital (182, 205, 762600)-net over F₄, using
- net defined by OOA [i] based on linear OOA(4²⁰⁵, 762600, F₄, 23, 23) (dual of [(762600, 23), 17539595, 24]-NRT-code), using
  - OOA 11-folding and stacking with additional row [i] based on linear OA(4²⁰⁵, 8388601, F₄, 23) (dual of [8388601, 8388396, 24]-code), using
    - discarding factors / shortening the dual code based on linear OA(4²⁰⁵, large, F₄, 23) (dual of [large, large−205, 24]-code), using
      - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 4¹²âˆ’1, defining interval IÂ =Â [0,22], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 24 [i]

None.

The following results depend on this result:

	Result		This result only	Method
1	(222, 245, 762987)-net in base 4	[i]		Net Duplication
2	(223, 246, 762987)-net in base 4	[i]		Net Duplication