MinT - Information on Result #1186242

Information on Result #1186242

Digital (104, 116, 1398106)-net over F₄, using net defined by OOA based on linear OOA(4¹¹⁶, 1398106, F₄, 15, 12) (dual of [(1398106, 15), 20971474, 13]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OOA(4¹¹⁶, 2796213, F₄, 3, 12) (dual of [(2796213, 3), 8388523, 13]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(4⁸, 12, F₄, 3, 6) (dual of [(12, 3), 28, 7]-NRT-code), using
    - extracting embedded OOA [i] based on digital (2, 8, 12)-net over F₄, using
      - linear code embedding found in a computer search [i]
  2. linear OOA(4¹⁰⁸, 2796201, F₄, 3, 12) (dual of [(2796201, 3), 8388495, 13]-NRT-code), using
    - OOA 3-folding [i] based on linear OA(4¹⁰⁸, large, F₄, 12) (dual of [large, large−108, 13]-code), using
      - the primitive narrow-sense BCH-code C(I) with length 16777215Â = 4¹²âˆ’1, defining interval IÂ =Â [1,12], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 13 [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.