MinT - Information on Result #1185732

Information on Result #1185732

Digital (36, 41, 4194385)-net over F₄, using net defined by OOA based on linear OOA(4⁴¹, 4194385, F₄, 6, 5) (dual of [(4194385, 6), 25166269, 6]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(4⁴¹, 4194386, F₄, 2, 5) (dual of [(4194386, 2), 8388731, 6]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(4⁴, 85, F₄, 2, 2) (dual of [(85, 2), 166, 3]-NRT-code), using
    - appending kth column [i] based on linear OA(4⁴, 85, F₄, 2) (dual of [85, 81, 3]-code), using
      - Hamming code H(4,4) [i]
  2. linear OOA(4³⁷, 4194301, F₄, 2, 5) (dual of [(4194301, 2), 8388565, 6]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(4³⁷, 8388602, F₄, 5) (dual of [8388602, 8388565, 6]-code), using
      - discarding factors / shortening the dual code based on linear OA(4³⁷, large, F₄, 5) (dual of [large, large−37, 6]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 4¹²âˆ’1, defining interval IÂ =Â [0,4], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 6 [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

None.