MinT - Information on Result #3279475

Information on Result #3279475

(41, 50, 2100390)-net in base 27, using 27¹ times duplication based on (40, 49, 2100390)-net in base 27, using

(u,Â u+v)-construction [i] based on
1. (4, 8, 3240)-net in base 27, using
  - base change [i] based on digital (2, 6, 3240)-net over F₈₁, using
    - net defined by OOA [i] based on linear OOA(81⁶, 3240, F₈₁, 4, 4) (dual of [(3240, 4), 12954, 5]-NRT-code), using
      - OA 2-folding and stacking [i] based on linear OA(81⁶, 6480, F₈₁, 4) (dual of [6480, 6474, 5]-code), using
        1 times truncation [i] based on linear OA(81⁷, 6481, F₈₁, 5) (dual of [6481, 6474, 6]-code), using
        a code by Danev and Olsson [i]
2. digital (32, 41, 2097150)-net over F₂₇, using
  - net defined by OOA [i] based on linear OOA(27⁴¹, 2097150, F₂₇, 9, 9) (dual of [(2097150, 9), 18874309, 10]-NRT-code), using
    - OOA 4-folding and stacking with additional row [i] based on linear OA(27⁴¹, 8388601, F₂₇, 9) (dual of [8388601, 8388560, 10]-code), using
      - discarding factors / shortening the dual code based on linear OA(27⁴¹, large, F₂₇, 9) (dual of [large, large−41, 10]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 14348908Â | 27¹⁰âˆ’1, defining interval IÂ =Â [0,4], and minimum distance dÂ â‰¥ |{−4,−3,…,4}|+1Â =Â 10 (BCH-bound) [i]

Mode: Constructive.

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

None.