MinT - Information on Result #3215773

Information on Result #3215773

Digital (194, 214, 839100)-net over F₄, using t-expansion based on digital (193, 214, 839100)-net over F₄, using

(u,Â u+v)-construction [i] based on
1. digital (23, 33, 240)-net over F₄, using
  - trace code for nets [i] based on digital (1, 11, 80)-net over F₆₄, using
    - net from sequence [i] based on digital (1, 79)-sequence over F₆₄, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 1 and N(F) ≥ 80, using
        a function field by SÃ©mirat [i]
2. digital (160, 181, 838860)-net over F₄, using
  - net defined by OOA [i] based on linear OOA(4¹⁸¹, 838860, F₄, 21, 21) (dual of [(838860, 21), 17615879, 22]-NRT-code), using
    - OOA 10-folding and stacking with additional row [i] based on linear OA(4¹⁸¹, 8388601, F₄, 21) (dual of [8388601, 8388420, 22]-code), using
      - discarding factors / shortening the dual code based on linear OA(4¹⁸¹, large, F₄, 21) (dual of [large, large−181, 22]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 4¹²âˆ’1, defining interval IÂ =Â [0,20], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 22 [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 (195, 215, 839100)-net over F₄	[i]		Net Duplication
2	Digital (196, 216, 839100)-net over F₄	[i]		Net Duplication